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Prove: For integers a, b, and c, if a is a factor of b, and b is a factor of c, then a is a factor of c.

Hi Sandra,

The simple way to consider it is this;

If A is a factor of B, then we can write

B = Am

where m is an integer

In the same way, if B is a factor of C, then we can write

C = Bn

where n is an integer

We therefore have,

C = (Am)n

= A(mn)

and so A is a factor of C, since mn is the product of two integers and hence an integer itself.

Regards

Calculus

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