Q: What are the prime factors of the number 400,356,658?

 A: 2, 13, 29, 530977

Why are those the prime factors of the number 400,356,658?

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 400,356,658

400,356,658
Factor Arrows
2200,178,329
Factor Arrows
1315,398,333
Factor Arrows
29530,977

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, 13, 29, 530977

We can check our work by multiplying all of the prime factors together: 2 x 13 x 29 x 530,977 = 400,356,658

This can also be written as 21 x 131 x 291 x 530,9771 = 400,356,658

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


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