Q: What are the prime factors of the number 251,321,030?

 A: 2, 5, 17, 31, 103, 463

Why are those the prime factors of the number 251,321,030?

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 251,321,030

251,321,030
Factor Arrows
2125,660,515
Factor Arrows
525,132,103
Factor Arrows
171,478,359
Factor Arrows
3147,689
Factor Arrows
103463

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, 5, 17, 31, 103, 463

We can check our work by multiplying all of the prime factors together: 2 x 5 x 17 x 31 x 103 x 463 = 251,321,030

This can also be written as 21 x 51 x 171 x 311 x 1031 x 4631 = 251,321,030

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


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