Square and Composite NumbersDate: 9/5/96 at 19:39:49 From: Anonymous Subject: Square and Composite Numbers Is it possible for a number to be a square number and a composite number? Date: 9/6/96 at 19:52:10 From: Doctor Tom Subject: Re: Square and Composite Numbers Sure. A square number is any number that's obtained by multiplying a number by itself. For example, here are the first few square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121 A composite number is any number that has more than one factor (other than 1 and itself). The first few non-composite numbers are: 1, 2, 3, 5, 7, 11, 13, 17, 19, 23 The only numbers that divide evenly into them are 1 and themself. 12 is composite, since 2, 3, 4, and 6 divide it evenly (in addition, of course, to 1 and 12). So EVERY square except 0 and 1 are composite. For example, 25 = 5*5, so we know that 5 divides it evenly. 121 = 11*11, so we know 11 divides it evenly, and so on. -Doctor Tom, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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