Determine the prime factorization of each of the following positive integer:
58500

Given:

Given integer is 58500.

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 58500 is:

$58500\ =\ 2\ \times\ 2\ \times\ 3\ \times\ 3\ \times 5\ \times\ 5\ \times\ 5\ \times\ 13$

$\mathbf{58500\ =\ 2^2\ \times\ 3^2\ \times\ 5^3\ \times\ 13^1}$

Hence, 58500 can be expressed as  $2^2\ \times\ 3^2\ \times\ 5^3\ \times\ 13^1$.

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Updated on: 10-Oct-2022

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