Q: What are the prime factors of the number 13,122,102?

 A: 2, 3, 7, 44633

Why are those the prime factors of the number 13,122,102?

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 13,122,102

13,122,102
Factor Arrows
26,561,051
Factor Arrows
32,187,017
Factor Arrows
7312,431
Factor Arrows
744,633

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, 44633

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 44,633 = 13,122,102

This can also be written as 21 x 31 x 72 x 44,6331 = 13,122,102

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


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