+0  
 
0
43
3
avatar+201 

How many different primes appear in the prime factorization of 20!

 Apr 6, 2020
 #1
avatar+252 
+2

8.

A prime number will only come up in the factorization of a factorial if the prime is less than n, with n being (n)!. THere are 8 primes less than 20- 2, 3, 5, 7, 11, 13, 17, and 19.

 

smileysmileysmiley

 Apr 6, 2020
 #2
avatar+201 
+1

That's great, you rock!

 Apr 6, 2020
 #3
avatar
+1

20! = 2^18 * 3^8 * 5^4 * 7^2 * 11 * 13 * 17 * 19

 Apr 6, 2020

18 Online Users