Q: What are the prime factors of the number 101,313,210?

 A: 2, 3, 5, 53, 63719

Why are those the prime factors of the number 101,313,210?

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 101,313,210

101,313,210
Factor Arrows
250,656,605
Factor Arrows
316,885,535
Factor Arrows
53,377,107
Factor Arrows
5363,719

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, 53, 63719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 53 x 63,719 = 101,313,210

This can also be written as 21 x 31 x 51 x 531 x 63,7191 = 101,313,210

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


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