Q: What are the prime factors of the number 13,882,887?

 A: 3, 41, 12541

Why are those the prime factors of the number 13,882,887?

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 13,882,887

13,882,887
Factor Arrows
34,627,629
Factor Arrows
31,542,543
Factor Arrows
3514,181
Factor Arrows
4112,541

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:

3, 41, 12541

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 41 x 12,541 = 13,882,887

This can also be written as 33 x 411 x 12,5411 = 13,882,887

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


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