Q: What are the prime factors of the number 12,062,664?

 A: 2, 3, 167537

Why are those the prime factors of the number 12,062,664?

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 12,062,664

12,062,664
Factor Arrows
26,031,332
Factor Arrows
23,015,666
Factor Arrows
21,507,833
Factor Arrows
3502,611
Factor Arrows
3167,537

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, 167537

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 167,537 = 12,062,664

This can also be written as 23 x 32 x 167,5371 = 12,062,664

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


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