Determine the prime factorization of 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,

Any integer greater than one, either be a prime number or can be written as a product of prime factors. So,

• Composite number  $=$  Product of prime numbers

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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