Q: What are the prime factors of the number 213,522,110?

 A: 2, 5, 23, 31, 29947

Why are those the prime factors of the number 213,522,110?

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 213,522,110

213,522,110
Factor Arrows
2106,761,055
Factor Arrows
521,352,211
Factor Arrows
23928,357
Factor Arrows
3129,947

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, 5, 23, 31, 29947

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 31 x 29,947 = 213,522,110

This can also be written as 21 x 51 x 231 x 311 x 29,9471 = 213,522,110

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


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