Q: What are the prime factors of the number 12,170,096?

 A: 2, 17, 101, 443

Why are those the prime factors of the number 12,170,096?

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 12,170,096

12,170,096
Factor Arrows
26,085,048
Factor Arrows
23,042,524
Factor Arrows
21,521,262
Factor Arrows
2760,631
Factor Arrows
1744,743
Factor Arrows
101443

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, 17, 101, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 101 x 443 = 12,170,096

This can also be written as 24 x 171 x 1011 x 4431 = 12,170,096

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


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