Express each of the following integers as a product of its prime factors.
468

Given:

Given integer is 468.

To do:

Here we have to express the given integer as a product of its prime factors.

Solution:  

We know that,

Every positive integer greater than 1 can be written as a product of prime numbers (or the integer is itself a prime number). So,

• Composite number  $=$  Product of prime numbers

Prime factorization of 468 is:

$468\ =\ 2\ \times\ 2\ \times\ 3\ \times\ 3\ \times\ 13$

$\mathbf{468\ =\ 2^2\ \times\ 3^2\ \times\ 13^1}$

Hence, 468 can be expressed as  $2^2\ \times\ 3^2\ \times\ 13^1$.