Q: What are the prime factors of the number 5,518,830?

 A: 2, 3, 5, 71, 2591

Why are those the prime factors of the number 5,518,830?

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 5,518,830

5,518,830
Factor Arrows
22,759,415
Factor Arrows
3919,805
Factor Arrows
5183,961
Factor Arrows
712,591

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, 71, 2591

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 71 x 2,591 = 5,518,830

This can also be written as 21 x 31 x 51 x 711 x 2,5911 = 5,518,830

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


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