Question

I am a number with the prime factorization of a cube of a certain number and a square of 5 if may product is 200 what is the cube of may other prime number

need help​

Answer 1

The other prime number is 2.

Explanation:

Prime factorization of a cube of a certain number and a square of 5

The number we dont know is x, so we have:

`x^3 * 5^2 = 25x^3`

The product is 200. What is the other prime number?

So

`25x^3 = 200`

`x^3 = (200)/(25)`

`x^3 = 8`

`x = \sqrt[3]{8}`

`x = 2`

The other prime number is 2.