Q: What are the prime factors of the number 13,586,590?

 A: 2, 5, 643, 2113

Why are those the prime factors of the number 13,586,590?

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 13,586,590

13,586,590
Factor Arrows
26,793,295
Factor Arrows
51,358,659
Factor Arrows
6432,113

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, 643, 2113

We can check our work by multiplying all of the prime factors together: 2 x 5 x 643 x 2,113 = 13,586,590

This can also be written as 21 x 51 x 6431 x 2,1131 = 13,586,590

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


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