Q: What are the prime factors of the number 13,376,646?

 A: 2, 3, 19, 39113

Why are those the prime factors of the number 13,376,646?

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 13,376,646

13,376,646
Factor Arrows
26,688,323
Factor Arrows
32,229,441
Factor Arrows
3743,147
Factor Arrows
1939,113

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, 3, 19, 39113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 39,113 = 13,376,646

This can also be written as 21 x 32 x 191 x 39,1131 = 13,376,646

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


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