+0  
 
0
376
2
avatar

What is the least positive integer n such that 1560 divides n^2?

 May 25, 2021
 #1
avatar
-1

The smallest n that works is 44.

 May 26, 2021
 #2
avatar+33603 
+2

Factor 1560 into its prime factors:

 

1560 = 2^3*3*5*13

 

To make this into a perfect square multiply by 2*3*5*13 = 390

 

n^2 = 1560*390 = 608400

 

Hence n = 780

 May 26, 2021

6 Online Users

avatar
avatar