Q: What are the prime factors of the number 6,137,664?

 A: 2, 3, 13, 2459

Why are those the prime factors of the number 6,137,664?

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 6,137,664

6,137,664
Factor Arrows
23,068,832
Factor Arrows
21,534,416
Factor Arrows
2767,208
Factor Arrows
2383,604
Factor Arrows
2191,802
Factor Arrows
295,901
Factor Arrows
331,967
Factor Arrows
132,459

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, 13, 2459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 2,459 = 6,137,664

This can also be written as 26 x 31 x 131 x 2,4591 = 6,137,664

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


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