Q: What are the prime factors of the number 13,726,620?

 A: 2, 3, 5, 76259

Why are those the prime factors of the number 13,726,620?

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 13,726,620

13,726,620
Factor Arrows
26,863,310
Factor Arrows
23,431,655
Factor Arrows
31,143,885
Factor Arrows
3381,295
Factor Arrows
576,259

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, 76259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 76,259 = 13,726,620

This can also be written as 22 x 32 x 51 x 76,2591 = 13,726,620

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


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