Q: What are the prime factors of the number 12,855,492?

 A: 2, 3, 13, 2113

Why are those the prime factors of the number 12,855,492?

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 12,855,492

12,855,492
Factor Arrows
26,427,746
Factor Arrows
23,213,873
Factor Arrows
31,071,291
Factor Arrows
3357,097
Factor Arrows
1327,469
Factor Arrows
132,113

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, 13, 2113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 13 x 2,113 = 12,855,492

This can also be written as 22 x 32 x 132 x 2,1131 = 12,855,492

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


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