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How to do prime factorization?
The process of breaking down a number into its prime factors is called prime factorization.
Let us take an example to understand it better,
Example: Find the prime factorization of 4030.
Using divisibility rules, we know that
4030 is divisible by 2
- 4030 $\div $ 2 = 2015
2015 is not divisible by 3 because
- 2 $+$ 0 $+$ 1 $+$ 5 = 8
And, 8 is not divisible by 3.
However, 2015 is divisible by 5, as it ends with 5.
- 2015 $\div $ 5 = 403
Trying out different numbers, it is found that 403 is divisible by 13.
- 403 $\div $ 13 = 31
13 and 31 are prime numbers. Factorization ends here.
Hence, we can express 4030 as,
- 4030 = 2 $\times$ 5 $\times$ 13 $\times$ 31
2, 5, 13, and 31 are the prime factors of 4030.
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