Q: What are the prime factors of the number 13,126,883?

 A: 7, 11, 151, 1129

Why are those the prime factors of the number 13,126,883?

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 13,126,883

13,126,883
Factor Arrows
71,875,269
Factor Arrows
11170,479
Factor Arrows
1511,129

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:

7, 11, 151, 1129

We can check our work by multiplying all of the prime factors together: 7 x 11 x 151 x 1,129 = 13,126,883

This can also be written as 71 x 111 x 1511 x 1,1291 = 13,126,883

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


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