Question

What is the largest power of 20 contained in 100!?​

Answer 1

We have to calculate the prime factors of 20 i.e 5 x 2 x 2

The highest prime factor is 5, so the no. of power of 20 will solely depend on power of 5

Now, 100/5 = 20 and also 100/25 = 4

so the power of 5 will be 20 + 4 = 24

The power of 20 = 24