Q: What are the prime factors of the number 101,522,130?

 A: 2, 3, 5, 17, 19, 10477

Why are those the prime factors of the number 101,522,130?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 101,522,130

101,522,130
Factor Arrows
250,761,065
Factor Arrows
316,920,355
Factor Arrows
53,384,071
Factor Arrows
17199,063
Factor Arrows
1910,477

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 17, 19, 10477

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 19 x 10,477 = 101,522,130

This can also be written as 21 x 31 x 51 x 171 x 191 x 10,4771 = 101,522,130

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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