Rebecca R. answered 03/15/19
Experienced Elementary Math, Prealgebra, Algebra 1, and Geometry Tutor
Hi,Demi.
You just need to factor this number down to its prime numbers.
1152 = 128 x 9
Now, you can factor each of these factors:
9 = 3 x 3 (which are both prime)
128 = 4 x 32
So you need to factor these each further
4 = 2 x 2 (which are both prime)
32 = 8 x 4 and can both be factored further:
4 = 2 x 2 (which are prime)
8 = 4 x 2 = 2 x 2 x 2 ( all prime)
So, the final factorization is:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 or
27 x 32