Question

Find the total number of squares which are factors of n

Answer 1

By prime factorization, N = 2 × 3, and N2 = 22×32. No. of Factors of N2 = 9 which are 1, 2, 3, 4, 6, 9, 12, 18, 36. Now, out of these, the first five are less than N, that is, 1,2,3,4 and 6. But out of these, 1, 2, 3 and 6 completely divide 6.