Q: What are the prime factors of the number 15,220,310?

 A: 2, 5, 7, 103, 2111

Why are those the prime factors of the number 15,220,310?

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 15,220,310

15,220,310
Factor Arrows
27,610,155
Factor Arrows
51,522,031
Factor Arrows
7217,433
Factor Arrows
1032,111

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, 7, 103, 2111

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 103 x 2,111 = 15,220,310

This can also be written as 21 x 51 x 71 x 1031 x 2,1111 = 15,220,310

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


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