web2.0calc
 
+0  
 

heyy pls help :)

0
597
1
avatar+81 

a)A certain positive integer has exactly 20 positive divisors.

What is the smallest number of primes that could divide the integer?

 

b)A certain positive integer has exactly 20 positive divisors.

What is the largest number of primes that could divide the integer?

 Aug 3, 2020

1+0 Answers

 #1
avatar
0

240 = (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240) > 20 (divisors)
240 = 2^4 * 3 * 5 - 3 distinct primes - the smallest number.

240 =2 x 2 x 2 x 2 x 3 x 5 - 6 primes - 2 distinct and 4 non-distinct - the largest number.

 Aug 3, 2020

2 Online Users

avatar

Top Users

avatar+129899 CPhill moderator
avatar+37153 ElectricPavlov
avatar+33661 Alan moderator
avatar+15000 asinus moderator
avatar+2511 GingerAle
avatar+2499 Solveit
avatar+1938 NotThatSmart
avatar+1557 parmen
avatar+1521 blackpanther
avatar+1455 kittykat
avatar+1310 learnmgcat

Sticky Topics