Exponent of a prime number in n!

Exponent of any number in n!

The sum of the exponents of the prime factor in the prime factorisation of 108 is

Statement-1: The number 1000C_(500) is not divisible by 11. Statement-2: The exponent of prime p in n! is [(n)/(p)]+[(n)/(p^(2))]+[(n)/(p^(3))]+......+[(n)/(p^(x))]" where "p^(k)lenltp^(k+1)

Statement-1: The number 1000C_(500) is not divisible by 11. Statement-2: The exponent of prime p in n! is [(n)/(p)]+[(n)/(p^(2))]+[(n)/(p^(3))]+......+[(n)/(p^(x))]" where "p^(k)lenltp^(k+1)

The sum of exponents of prime factors in the prime -factorisation of 196 is

The sum of the exponents of the prime factors in the prime factorisation of 504 is ……………….

The sum of the exponents of the prime factors in the prime factorization of 1729 is :

The sum of the exponents of the prime factors in the prime factorization of 1729 is

What is the sum of exponents of prime factors in the prime factorisation of 250.