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

Answer:

The other prime number is 2.

Step-by-step 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:

$x^3 \times 5^2 = 25x^3$

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

So

$25x^3 = 200$

$x^3 = \frac{200}{25}$

$x^3 = 8$

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

$x = 2$

The other prime number is 2.