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Middle School Problem of the Week: |
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Middle School Problem of the Week: |
This a full list of the incorrect solutions submitted this week. Comments, highlighted solutions, and a list of people who got this problem right are also available.
Grade: 6 My answer is 9864310 2 is the smallest prime number, followed by 3, 5, and 7. I filled in the remaining digits with the digit of greatest value in the place of greatest value and so on because any other order would result in a smaller number. 9 ,000,000 800,000 60,000 4,000 300 10 +0 gives me the greatest sum, because I'm making the best investment of my digits.
Grade: 8 It can't be done because there are only 5 composite digits between 0 and nine. (9,8,6,4,0) therefore a 6 digit number is impossible
Grade: 8 I think the number is 9 to the 86410, because the bigger the exponent the bigger the answer is. For example: If you solve 4 to the 3rd power it equals 64, and if you solve 3 to the 4th power it equals 81. It is the same for every problem with an exponent bigger than the whole number. 5 to the 6th power equals 15625 and 6 to the 5th power equals 7776. Try it with any equation that has an exponent bigger than the whole number. The numbers 0,1,4,6,8, and 9 are not prime numbers, because prime numbers are divisible by exactly 2 numbers. 1 can only be divided by 1, which is itself.
Grade: 8 First of all I thought of all the one digit prime numbers. They were: 0,1,2,3,5,7. I then put the largest number first. That would be 7. I then continued the numbers till the last one was the smallest. This is how I came up with 753210.
Grade: seventh 654321 i just guessed please tell me if im right
Grade: 8 There are four one-digit composite numbers: 4, 6, 8, 9. If every digit has to be different, using these numbers, than only a four digit number can be written, no more (like 6!-can't do it)
Grade: 7 It is impossible to create a six-digit number with the rules you have provided. There are only five different composite digits, 0, 4, 6, 8, and 9. Therefore you cannot make a si x-digit number using all different composite digits.
Grade: 8-4 The number is 753210. The way We got the first number is 7 was the highest that was not a prime. And follow the same rule for 53210
Grade: 8 the answer is 146890
Grade: 8 It can't be done I found this answer because there are only 4 non-prime single digit numbers. Anything above 10 would be would have a prime.
Grade: 7th This cannot be done because there are only five composite numbers. To have a six-digit number, you would have to repeat a number. To figure this out, I wrote down all of the prime numbers, and I put them so I had the highest number possible, but it was only five digits.
Grade: 7 No, this can not happen because there are only 4 prime numbers up to 10. If you have 6 digets you have to fill in you can't use all prime.
Grade: 7 This problem can not be done because there are only five composite digits that could be used. Unless you repeat a number, or break the second rule, the problem cannot be done. I figured out this problem by listing all of the composite numbers in order from smallest to largest, but their were only five. The highest number I could come up with was 98640.
Grade: 7th Grade This problem cannot be done. I listed all the prime numbers up to nine... 2;3;5;7; and then listed all of the non-prime numbers to nine... 1;4;6;8. There aren't even 6 non prime numbers to work with, proving this problem is impossible.
Grade: 7 No, It's not possible. Only the five numbers, 9,8,6,4, and 0 are prime. The problem calls for six prime digits.
Grade: 6 My answer is 986401. To get this solution, I made a chart with the numbers 0 to 9. I then crossed out all the prime numbers and had six numbers. I then ordered them together from greatest to least. Except the zero didn't work where it was because then it would only be a five digit number. So, I had to switch the 0 and the 1. That is how I got my answer.
Grade: 7th Yes, it can be done. What I did was list all of the composite numbers under ten. I did that because if it isn't prime, it's composite, and can be divided by a number other then one and intself. I was then left with 6, 5, 4, 3, 2, and 1. To make that number as large as I could, I placed the 6 in the hundred thousands place, 5 into the ten thousands place, 4 into the thousands, and so on. By continuing this process, I got the number 654,321 (six hundred fifty four thousand, three hundred twenty one). That is how I found the awnser to this problem of the week.
Grade: 6th The answer is: 986,421 This is because 9 can be divided by 3, itself, and 1. 8 can be divided by 4, 2, 1, and itself. 6 can be divided by 3, 2, 1, and itself. 4 can be divided by 2, 1, and itself. 1 can only be divided by itself. 0 can be divided by a lot of numbers.
Grade: 6 The answer can be done. The number would be 986420
Grade: 7 No. There are only 4 composite numbers that can be used. 9,8,6, and 4
Grade: 8 No, this can't be done because there are only 4 composite numbers that can be used and you would need 6. The only ones you could use are 4, 6, 8, and 9.
Grade: 7th It can not be done because there are not enough composite numbers.You can only produce a 3-digit number.The 3 numbers are 8,4, and 6.Those are the only composite numbers and that's why it can not be done.
Grade: 8th grade This can not be done because there are only 5 non-prime numbers, counting 0.
Grade: 7 I wrote down all the prime numbers them did all the non-prime numbers. I took the highest numbers in front and made the biggest numbers I could.My answer is:864,210
Grade: 7th 986420 is what I got. See you take the nubers from 1-9 that can be divisable by other numbers beside itself and one. You take those digits and put them from greatest to least. Nine is not a prime number because it can ba divided by 3. 0 is a prime number because it can be divded by any other number. So the non-prime nubers are like even numbers.
Grade: 7th grade This cannot be done. 4, 6, 8, 9, and 0 are the only nonprime digets. Since you can only use each number once, there would only be 5 digets.
Grade: 7 No this can not be done. The reason is because of the rules. First all of the numbers have to be prime. After that it would leave you with 0,4,6,8,and 9. That way you would be left with 5 numbers. The digit has to be 6 digits long. Also, each number must be different. So ther is no way you can make 5 digits = 6 different digits.
Grade: 7 Answere:986420 I started out with 999999, but no number can be the same. So I put 987654, but there couldn't be any prime numbers. So I looked carefully and found that there's only 5 digits from 1-9 that is not prime and that is 9,8,6,4,0. 1 is a prime, 2 is a prime, 3 is a prime, 5 is a prime, 7 is a prime, and 10 is a two diget number! So I just stuck 2 in there.
Grade: 5 It is not possible because the most digits you could have is 4 if all different and not prime.
Grade: 4 It can't be done because we only have 4 digits available: 4 6 8 9. And since there are 6 digits-spaces to fill in...the problem cannot be done.
Grade: 6 999999 It is the largest one I know of
Grade: 9 410 Answer:986 (986 to the power of 410) To come up with my solution, I followed a series of steps. First of all, I made all of the exponents that I could. I then matched them up with a base. I then tried to simplify these equations. I did this by trying to find a common multiple between the base number and the exponent. I found this very hard for some questions. I then found a strange method, but I think it worked. First of all, I divided the base by the exponent. You then end up with a decimal answer in most cases. After I did that, I came up with many decimal answers. I looked at them all, I then decided that the largest decimal(2.4 rounded) was the answer. I then concluded that the answer was 986 to the power of 410.
Grade: Five First I made a row of 1,2,3,4,5,6,7,8,9,&0. I crossed out all the prime numbers 0, 4,6,8,&9. The only numbers left were 1,2,3,5,&7. You asked for a six digit number and there's only five numbers so it isn't possible.
Grade: 6th This can not be done because if you can't use 1 or any prime numbers (2,3,5,7). That leaves you with only 4 numbers (not counting zero). So you can't make a 6 digit number.
Grade: 6 109864. Because 10, 9, 8, 6 and 4 are not prime numbers.
Grade: 9 86410 9 9 to the 86410 power All the non-prime numbers from 10-0 are; 0,1,4,6,8,9 To make that the largest number you would start from the 9 and go down. That would make 986410 To make that number even larger, make it a power because a power what ever the number is you keep on multiplying it to itself. For example 9 to the power of 3 is 9*9*9 which equals 729!
Grade: 6 986421because
Grade: 6 987654 Counting down they are the six highest numbers.
Grade: 6 there is no way to make 6 digit no without using prime.
Grade: 4 The problem can not be done. I got that by knowing that prime numbers are only divisible by itself and 1. I knew that 7,5,3,2,1 are prime so that means that 9,8,6,4 are not prime numbers. And 9,8,6,4 are only four numbers. Then that would make the biggest number it would be would be a four digit number.
Grade: 7 math teacher :T. Kortan 986420 If it can not be the same number and cannot be prime and you must only use six numbers :the highest number that is not prime is 9 followed smaller number to smaller number would be the anwser :986420 . simple!=)
Grade: 7 Can this be done? NO! There are only 4 non-prime single digit numbers which makes the problem impossible.
Grade: 7 The anwser is 104,689!!!!!!!
Grade: 7 986 420 That is the middle school answer to the problem of the week
Grade: 7 My answer is 986,410120. The reason I chose this answer is because all the numbers are arenot prime so it most be right. I was using the trial and error method
Grade: 7 The answer that I found for this question is 146890. The method I used for this answer was I wrote down the numbers 1 2 3 4 5 6 7 8 9 0. Then I circled all of the prime numbers and then I wrote down the numbers that were left.
Grade: 6-8 987654----I took 98, 76, and, 54 and put them together. It didn't say it had to be 1-10 did it.
Grade: 8 This cannot be done because there is only four composite numbers between 1-9. Zero cannot work because it is not larger than 1. Nine is the largest 1 digit number. So you couldn't get a six digit number with each digit to be different.
Grade: Eighth There is no answer because there only 4 numbers in 1 through 10 that aren't primes. I found this out when I was looking for the non primes numbers and only found four numbers.
Grade: 8 It is not possible to find a six-digit number with each digit being different and no digits being prime. 9 is the largest one-digit number and if you look at ll the numbers before it , 1-9, only 4 numbers are composite and the rest are all prime. You can't use a number more than once so it will not work.
Grade: eighth It doesn't work because there are only 4 non prime numbers within 1 to 10. I found this out because I started with the largest non prime number, 9, and worked down, but I didn't find six without using the numbers more than once.
Grade: 7 No this is not possible. This is because there are to many prime numbers, and not enough positives.
Grade: 7 No this is not possible. This is because there are only four numbers that are not prime.The four numbers are 4,6,8,9.
Grade: 7 No this is not possible. This is because there are only four numbers that are not prime.The four numbers are 4,6,8,9. There are to many composites.
Grade: 5th The answer is 976410. This is how I got the answer: First, you must know what a prime number is. Aprime number is a number that can only be multiplied by 2 numbers. Then, you take that information to find numbers that follow that rule. Then you put them in an order that is the highest you can get.
Grade: 5 The answer is 975210 because you just put all the prime #'s down in biggest form.
Grade: 7 986420
Grade: 6th First, we wrote down all the composite numbers 1-9. We found that the numbers 2 4 6 8 and 9 are composite numbers. You can see that there are only five numbers so the answer is that the problem can NOT be done.
Grade: 6 No, this can not be done because the prime numbers are 2,1,3,5, and7.The numbers that are not prime are 4,6,8,9,and0. I did not go over 10 because its digits are 1 and 0 which have already been used. You have 5 numbers that can not be used because they are prime and you can't use prime numbers as stated in rule 1. Which leaves you with 5 that you can use because they are not prime. But it states that the number must be 6 digits as stated in rule 2. That is why you can not do what it askes of you.
Grade: 6-8 No it can't be done. There are only 4 one digit numbers that aren't prime.So you can't have a six digit number of just composit numbers if there are only four.
Grade: 6,7,8 We eliminated 3,5 and 7 and then took the largest to the smallest digits to get . . . 986,421
Grade: 5 First I saw that in one of the rules that all of the digits must be different. And I saw that we had to find the largest six-digit number. So I figured out that the largest six-digit number that had all different digits was 987,654. So to make sure it wasn't a prime number I took 987,654 and divided it by two and I got 493827. So 987,654 would be the answer.
Grade: 8th grade ANSWER: There is no solution to this problem. There are not enough non-prime single digit numbers to come up with a number like this.
Grade: 8th Grade The problem can not be done because if it can't be prime numbers and all the number are different tere is not enough numbers from 1- 10 that aren't prime.
Grade: 8 ANSWER: It's not possible to have a six digit number that has different numbers. There are only 4 composite numbers between 1-9. 10 is a 2 digit number so therefore it is not possible to do this problem.
Grade: 7th This problom cannot by solved. I found this out when I rememered that there is only four prime numbers with one digit.
Grade: 8 Answer: It is not possible to have a six digit number that has different numbers because between 1-9 there are only four composit numbers and since 10 is a two digit number there is no possible answer.
Grade: 7 It can not be done. You have all those numbers ahead of the one-hundred thousand section.
Grade: 6 Yes. It can be done. the method I used was: first I figured out what digets are NOT prime (0,1,4,6,8,9). Since there are 6 digits that are not prime that told me that this problem CAN be done.
Grade: 7 the answer is NOI started by writing out the six highest numbers, 9,8,7,6,5,4. That would make the number 987,654. But, the digits cannot be prime. That eliminates 7 and 5. To make the number six digits, you need to add in two more non prime numbers. There are none left. 3, 2, and 1 are all prime. That makes it imposible to follow the second rule, no number can be prime.
Grade: 8 No Answer There are only 5 numbers under 10 that can comply with the rules given.
Grade: 8 my anwser is 986,421 because the follow the rules ahead perfectally
Grade: 6 no. The two rules are that the numbers must be prime and each didget must be different. The only composite numbers that only have one didget are 9,8,6,4,0. There are only 5 and we need 6. So you can't do it.
Grade: 8 My answer is 986421. I got this by putting all the numbers from highest to lowest. Then I took out all the prime numbers. Then I put all the numbers in order so it made the highest possible number.
Grade: 6 No.It can't be done because if you can't use prime numbers you can't use 1,2,3,5,7,9,or 0 and prime numbers are more than unprime numbers
Grade: seventh It is impossible- If you start out with 9 and the next number would be 8 the next number would be 6 the next number would be 4 and the rest of the numbers are prime or you would need use one of the same numbers again.
Grade: SIXTH This can not be done because there are only 5 single digits that aren`t prime.
Grade: 6th It can not be done. 0,1,2,3,5,& 7 are all prime, leaving 4 numbers,9,8,6,& 4, which is not enough to have a six-digit #.
Grade: 11 986420 because each number is NOT prime and no number is repeated.
Grade: 7 this can't be done because there are 10 different digits but only 5 are available to use because 1, 2, 3, 5, and 7 are prime, so there is no 6 digit number, even if you use 0.
Grade: 5th I used a list of the one diget composet numbers. 0 2 1 4 6 8 9 Then I thought that the other numbers must prime. 3 6 8 9 So then I figurer out that the anwser must be 864210
Grade: 7 1.This problem is can not be done. I figured this out by making a table.the table showed 9, 8, 6, and 4 were prime numbers. you cant use one twice therefor I was left with 4 digits. I needed six and a digit is one number. ex-9 will work 10 won't because in a number it looks like a 1 and a 0. _______________________________________ |ones that work | ones that don't| |9 example: 3x3 | 7 example: 1x7 | |8 example: 2x4 | 5 example: 1x5 | |6 example: 2x3 | 3 example: 1x3 | |4 example: 2x2 | 2 example: 1x2 | | | 1 example: 1x1 | |_____________________________________|
Grade: 8 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,420
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 975,310
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 8 986,410
Grade: 6 986,475
Grade: 7 This con not be done. There are only ten digits, six of which are prime. Leaving only 4 digits, it is impossible to make a six digit number with different digits.
Grade: 8 753,210
Grade: 8 986,410
Grade: 8 986,410
Grade: 8 986,410
Grade: 8 976,310
Grade: 8 986,410
Grade: 8 986,420
Grade: 8 986,410
Grade: 8 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 986,410
Grade: 7 698,140
Grade: 7 986,410
Grade: 7 986,420 I went through all the 1 digit numbers and found out which were prime. Then with the ones' left I took the largest number and put it first. Then I put the rest of the numbers down from greatest to least.
Grade: 7 First, I listed all the numbers from 1-9. Next, I eliminated all the prime numbers ( numbers that have only two multiples, one and itself). The numbers I had left were 1, 2, 4, 6,8, and 9. I listed these numbers from the biggest to the smallest. There was the answer! Answer: 986,421
Grade: 8th Grade 975,310
Grade: 6th Grade 986421 I came up with this answer by listing 6 numbers from nine and down that are not prime. 1 isn't a prime number.
Grade: 5 This problem cannot be done. There are only 5 digits that are non-prime. They are 0, 4, 6, 8 and 9. With your two rules, it is impossible.
Grade: 8 Is there such thing as a 6 digit integer where none of the digits are prime or the same? Guess and Check All the digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Prime digits: 2, 3, 5, 7 Digits left over: 0, 1, 4, 6, 8, 9 Aswer: yes, there is such a thing as a 6 digit integer where none of the digits are prime and there are no same numbers.
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