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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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