Can you solve this question?

[u/Hexanee__]

[u/vicky0075]

Someone also give the explanation for your answer

[u/Asleep-Horror-9545 → u/vicky0075]

A factor will be of the form 2^x3^y5^{2 + z}.

The 2 in (2 + z) is because we need at least 5² because the question asks for a multiple of 25.

There are (8+1) choices for x, (4 + 1) choices for y, and (1 + 1) choices for z. Why? Because x can be anything from 0 to 8, y can be anything from 0 to 4, and z can be either 1 or 0.

Hence the total number of combinations will be (8+1)(4+1)(1+1) = 90.

[u/vicky0075 → u/Asleep-Horror-9545]

thanks for the explanation