Q: What are the prime factors of the number 12,863,695?

 A: 5, 13, 73, 2711

Why are those the prime factors of the number 12,863,695?

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 12,863,695

12,863,695
Factor Arrows
52,572,739
Factor Arrows
13197,903
Factor Arrows
732,711

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:

5, 13, 73, 2711

We can check our work by multiplying all of the prime factors together: 5 x 13 x 73 x 2,711 = 12,863,695

This can also be written as 51 x 131 x 731 x 2,7111 = 12,863,695

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


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