Question

Express the given number as a product of the powers of their prime factors.

$2700$

Answer 1

Hint: In prime factorization we have to divide the given number by prime numbers starting from first prime number that is 2 in increasing order till we don’t get 1.

Step 1: Given number: $2700$

Step2: Solution:

According to given criteria above prime factorization is:

So the prime factorization of 2700 is:

$2\times 2\times 3\times 3\times 3\times 5\times 5=2^2\times 3^3\times 5^2$

$2^2\times 3^3\times 5^2$, This is the required product of the powers of prime factors.

Hence $2^2\times 3^3\times 5^2$, This is the required product of the powers of prime factors.