Q: What are the prime factors of the number 12,013,596?

 A: 2, 3, 7, 5297

Why are those the prime factors of the number 12,013,596?

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 12,013,596

12,013,596
Factor Arrows
26,006,798
Factor Arrows
23,003,399
Factor Arrows
31,001,133
Factor Arrows
3333,711
Factor Arrows
3111,237
Factor Arrows
337,079
Factor Arrows
75,297

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, 5297

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 7 x 5,297 = 12,013,596

This can also be written as 22 x 34 x 71 x 5,2971 = 12,013,596

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


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