Q: What are the prime factors of the number 12,465,264?

 A: 2, 3, 7, 23, 1613

Why are those the prime factors of the number 12,465,264?

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 12,465,264

12,465,264
Factor Arrows
26,232,632
Factor Arrows
23,116,316
Factor Arrows
21,558,158
Factor Arrows
2779,079
Factor Arrows
3259,693
Factor Arrows
737,099
Factor Arrows
231,613

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, 7, 23, 1613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 23 x 1,613 = 12,465,264

This can also be written as 24 x 31 x 71 x 231 x 1,6131 = 12,465,264

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


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