Question

Express 432 as a product of powers of its prime factors.

Answer 1

We can see easily this is an even number, so let's first divide by 2.

432=2*216

We can see the remaining 216 is still even so we continue.

432=2*2*108

And continue

432=2*2*2*54

and continue

432=2*2*2*2*27

Now we can see that 27 is a multiple of 3 in fact its 3^3.

So we can conclude that 432=
`2^4*3^3`