If a number n is divisible by 8 and 30, then the smallest number of divisors that n has is

Consider N=2^(2)3^(2)4^(2)6^(2)5^(2) and give the answers of the following questions . (i) Find the total number of divisible of N . (ii) Find the total number of divisors divisible by 24 (iii) Find the total number of divisors divisible by 5. (iv) Find the total number of divisors which are perfect square. (v) Find the number of divisors which are perfect cube.

Consider N=2^(2)3^(2)4^(2)6^(2)5^(2) and give the answers of the following questions . (i) Find the total number of divisible of N . (ii) Find the total number of divisors divisible by 24 (iii) Find the total number of divisors divisible by 5. (iv) Find the total number of divisors which are perfect square. (v) Find the number of divisors which are perfect cube.

Consider the number N774958P96Q(i) If P and the number N is divisible by 3, then number of possible values of Q islare Oi) If N is divisible by 4, then islare (iii) If N is divisible by 8 and 9 both,then number of possible ordered pair (P,Q)

A natural number n has exactly two divisors and (n+1) has three divisors.The number of divisors of (n+2) is

The number of odd proper divisors of 3^n. 21 ^n is

When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e., '4N' is divided by D the remainder will be :