# Proof regarding divisibility

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Suppose A divides N and B divides N. Does this always imply: A * B divides n?

Now the question is under what condition A*B will always divide N? Prove it.

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See attachment please!

suppose A divides N and B divides N. Does this always imply: A * B divides n?

My answer is no because if A = 6, B = 9 and N=36 then

A divides N since 6 divides 36

B divides N since 9 divides 36

but A * B does not divide N since 6 * 9 = ...

#### Solution Summary

Suppose A divides N and B divides N. Does this always imply: A * B divides n is determined.

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