Q: What are the prime factors of the number 13,300,632?

 A: 2, 3, 139, 443

Why are those the prime factors of the number 13,300,632?

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 13,300,632

13,300,632
Factor Arrows
26,650,316
Factor Arrows
23,325,158
Factor Arrows
21,662,579
Factor Arrows
3554,193
Factor Arrows
3184,731
Factor Arrows
361,577
Factor Arrows
139443

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, 139, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 139 x 443 = 13,300,632

This can also be written as 23 x 33 x 1391 x 4431 = 13,300,632

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


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