Determine the prime factorization of each of the following positive integer:
45470971

Given:

Given integer is 45470971.

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 45470971 is:

$45470971\ =\ 7\ \times\ 7\ \times\ 13\ \times\ 13\ \times\ 17\ \times\ 17\ \times\ 19$

$\mathbf{45470971\ =\ 7^2\ \times\ 13^2\ \times\ 17^2\ \times\ 19^1}$

Hence, 45470971 can be expressed as  $7^2\ \times\ 13^2\ \times\ 17^2\ \times\ 19^1$. 

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

63 Views

Kickstart Your Career

Get certified by completing the course

Get Started