Q: What are the prime factors of the number 407,028,210?

 A: 2, 3, 5, 13567607

Why are those the prime factors of the number 407,028,210?

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 407,028,210

407,028,210
Factor Arrows
2203,514,105
Factor Arrows
367,838,035
Factor Arrows
513,567,607

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, 13567607

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13,567,607 = 407,028,210

This can also be written as 21 x 31 x 51 x 13,567,6071 = 407,028,210

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


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