Find the number of divisors of 720.

Find the total number of proper factors of the number 35700. Also find (1)sum of all these factors (2)sum of the odd proper divisors (3)the number of proper divisors divisible by 10 and the sum of these divisors.

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

A positive integer n is of the form n=2^(alpha)3^(beta) , where alpha ge 1 , beta ge 1 . If n has 12 positive divisors and 2n has 15 positive divisors, then the number of positive divisors of 3n is

For number N=35700, find (i) number of divisors (ii) number of proper divisors (iii) number of even divisors (iv) number of odd divisors (v) sum of all divisors

Find the number of subsets and number of proper subsets of a set X={a,b,c,x,y,z} .

Find the number of terms in the A.P 3,6,9,12,….,111

Find the number of subsets and the number of proper subsets of a set X={a, b, c, x, y, z}.

Find the number of subsets and the number of proper subsets of the following sets. W = {red, blue, yellow}