1. Tardigrade
  2. Question
  3. Mathematics
  4. What is the greatest power of 5 which can divide 80! exactly.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. What is the greatest power of 5 which can divide 80! exactly.

Permutations and Combinations

Solution:

All the 16 multiplies of 5 from 1 to 80 will have a factor of 5, 25, 50 and 75 will have a second factor of 5. So the factor 5 occurs 16 + 3 = 19 times in 80! , and 19 is the greatest power of 5 that can divide 80! exactly