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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 $7^2\ \times\ 13^2\ \times\ 17^2\ \times\ 19^1$.
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