Q: What are the prime factors of the number 17,926,830?

 A: 2, 3, 5, 139, 1433

Why are those the prime factors of the number 17,926,830?

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 17,926,830

17,926,830
Factor Arrows
28,963,415
Factor Arrows
32,987,805
Factor Arrows
3995,935
Factor Arrows
5199,187
Factor Arrows
1391,433

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, 139, 1433

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 139 x 1,433 = 17,926,830

This can also be written as 21 x 32 x 51 x 1391 x 1,4331 = 17,926,830

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


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