Express each of the following integers as a product of its prime factors.
420

Given:

Given integer is 420.

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

(i) Prime factorization of 420 is:

$420\ =\ 2\ \times\ 2\ \times\ 3\ \times\ 5\ \times\ 7$ 

$\mathbf{420\ =\ 2^2\ \times\ 3^1\ \times\ 5^1\ \times\ 7^1}$

Hence, 420 can be expressed as  $2^2\ \times\ 3^1\ \times\ 5^1\ \times\ 7^1$.

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Updated on: 10-Oct-2022

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