Question

express 72 as a product of power of prime factors

Answer 1

Start with the smallest prime number that divides into 24, in this case 2. 2 divides into all even numbers, so we can write 24 as:
24 = 2 x 12
Now think of the smallest prime number that divides into 12. Again we can use 2, and write the 12 as 2 x 6, to give.
24 = 2 x 2 x 6
6 also divides by 2 (6 = 2 x 3), so we have:
24 = 2 x 2 x 2 x 3
2, 2, 2 and 3 are all prime numbers, so we have our answer.
In short, we would write the solution as:
24 = 2 x 12
= 2 x 2 x 6
= 2 x 2 x 2 x 3

Answer 2

72 =2x36
2x36=2²x18
2²x18=2³x9
2³x9=2³x3²

hence, 72=2³ x 3²