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Determine the prime factorization of each of the following positive integer:
20570
Given:
Given integer is 20570.
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 20570 is:
$20570\ =\ 2\ \times\ 5\ \times\ 11\ \times\ 11\ \times\ 17$
$\mathbf{20570\ =\ 2^1\ \times\ 5^1\ \times\ 11^2\ \times\ 17^1}$
Hence, 20570 can be expressed as $2^1\ \times\ 5^1\ \times\ 11^2\ \times\ 17^1$.
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