Q: What are the prime factors of the number 700,123,886?

 A: 2, 7, 11, 17, 15731

Why are those the prime factors of the number 700,123,886?

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 700,123,886

700,123,886
Factor Arrows
2350,061,943
Factor Arrows
750,008,849
Factor Arrows
114,546,259
Factor Arrows
17267,427
Factor Arrows
1715,731

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, 11, 17, 15731

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 17 x 17 x 15,731 = 700,123,886

This can also be written as 21 x 71 x 111 x 172 x 15,7311 = 700,123,886

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


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