We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
37
3
avatar+18 

Find the number of positive integers that are divisors of at least one of 1010,1212 , and 1515.

 Nov 3, 2019
 #1
avatar
0

What are: 1010, 1212, 1515 ??? Are they supposed to be: 10, 12, 15?

 Nov 3, 2019
 #2
avatar+18 
0

It's 10 to the power of 10?

 

https://file.coffee/eAPmrxE_a.png

 Nov 3, 2019
 #3
avatar
0

Divisors of 10^10 =2^10 x 5^10 = 11 x 11 =121

 

Divisors of 12^12 =2^24 x 3^12 = 25 x 13 =325

 

Divisors of 15^15 =3^15 x 5^15  = 16 x 16 =256

 

121 + 325 + 256 =702 divisors of all 3 numbers. However, I counted 34 as duplicates. If we remove these 34 duplicates, then we have: 702 - 34 =668 divisors of at least one of your 3 numbers (10^10, 12^12, 15^15).

 Nov 3, 2019

15 Online Users

avatar