Multiples and FactorsDate: 06/02/2003 at 19:39:45 From: Sarah Subject: Multiples and Factors What is the difference between multiples and factors? Date: 06/03/2003 at 10:35:23 From: Doctor Sarah Subject: Re: Multiples and Factors Hi Sarah - thanks for writing to Dr. Math. MULTIPLES Multiples of a number are the result of multiplying that number by another whole number. You can see multiples of numbers in a multiplication table. For example, the first multiples of 6 from 6 to 72 are: x | 2 3 4 5 6 7 8 9 10 11 12 --+------------------------------------------ 6 |12 18 24 30 36 42 48 54 60 66 72 FACTORS A factor of a number will divide that number evenly, without any remainder. For example, 2 is a factor of 12 because 12/2 = exactly 6. And 6 is a factor of 12 because 12/6 = exactly 2. Notice that 12 has other factors: it is evenly divisible by both 3 and 4, and by 1 and itself (all numbers are evenly divisible by 1 and themselves; if they have no other factors, they are called "prime numbers"). So the factors of 12 (the numbers that divide it evenly) are 1, 2, 3, 4, 6, 12 For lots more about prime factorization, see: Prime Factoring http://mathforum.org/library/drmath/sets/select/ dm_prime_factors.html - Doctor Sarah, The Math Forum http://mathforum.org/dr.math/ |
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