What is the least positive integer n such that 1560 divides n^2?
The smallest n that works is 44.
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
