# Math Help - a|m and b|m does that mean a*b|m?

1. ## a|m and b|m does that mean a*b|m?

If a|m and b|m, does that mean a*b|m?

ak=m
bj=m
$akbj=m^2$
$ab(kj)=m^2\rightarrow ab \left(\frac{kj}{m}\right)=m$

Is this how it would be shown?

2. Originally Posted by dwsmith
If a|m and b|m, does that mean a*b|m?

ak=m
bj=m
$akbj=m^2$
$ab(kj)=m^2\rightarrow ab left(\frac{kj}{m}\right)=m$

Is this how it would be shown?
Shown? It's not true. Take a = 2, and b = m = 4

3. @dwsmith:
The fault with your argument is that you don't know whether kj/m would come out to be an integer or not.