Q: What are the prime factors of the number 222,631,612?

 A: 2, 7, 227, 35027

Why are those the prime factors of the number 222,631,612?

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 222,631,612

222,631,612
Factor Arrows
2111,315,806
Factor Arrows
255,657,903
Factor Arrows
77,951,129
Factor Arrows
22735,027

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, 7, 227, 35027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 227 x 35,027 = 222,631,612

This can also be written as 22 x 71 x 2271 x 35,0271 = 222,631,612

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


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