Answer: k = 4
Step-by-step explanation: greatest k, which 5^k is a factor of
the product of the integers from 1 through 24
From 1.2.3...24, if we factor all these numbers to prime integers, we can find 5 in: 5, 10, 15 and 20.
5; 2.5; 3.5; 4.5, so 5^4 is a factor of this product.
This way, k = 4