Express each of the following integers as a product of its prime factors.
945

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

Prime factorization of 945 is:

$945\ =\ 3\ \times\ 3\ \times\ 3\ \times\ 5\ \times\ 7$

$\mathbf{945\ =\ 3^3\ \times\ 5^1\ \times\ 7^1}$

Hence, 945 can be expressed as  $3^3\ \times\ 5^1\ \times\ 7^1$.

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Updated on: 10-Oct-2022

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