Q: What are the prime factors of the number 12,513,492?

 A: 2, 3, 281, 1237

Why are those the prime factors of the number 12,513,492?

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 12,513,492

12,513,492
Factor Arrows
26,256,746
Factor Arrows
23,128,373
Factor Arrows
31,042,791
Factor Arrows
3347,597
Factor Arrows
2811,237

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, 281, 1237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 281 x 1,237 = 12,513,492

This can also be written as 22 x 32 x 2811 x 1,2371 = 12,513,492

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


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