Question

The sum of the exponent of the prime factors in the prime factorisation of $3240$ is

Answer 1

Sum of exponents of Prime factors

Factors of a number is a number that divides the given number exactly leaving the remainder $0$

Factors of a number that are prime are called prime factor

Prime factorization $3240$:

$3240=2^3\times 3^4\times 5^1$

Here the exponents are $3,4$ and $1$.

The sum of the exponent of the prime factors is $3+4+1=8$

Hence, the sum of the exponent of the prime factors in the prime factorization of $3240$ is $8$.