Q: What are the prime factors of the number 222,331,020?

 A: 2, 3, 5, 107, 34631

Why are those the prime factors of the number 222,331,020?

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 222,331,020

222,331,020
Factor Arrows
2111,165,510
Factor Arrows
255,582,755
Factor Arrows
318,527,585
Factor Arrows
53,705,517
Factor Arrows
10734,631

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, 107, 34631

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 107 x 34,631 = 222,331,020

This can also be written as 22 x 31 x 51 x 1071 x 34,6311 = 222,331,020

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


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