Q: What are the prime factors of the number 2,013,664?

 A: 2, 62927

Why are those the prime factors of the number 2,013,664?

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 2,013,664

2,013,664
Factor Arrows
21,006,832
Factor Arrows
2503,416
Factor Arrows
2251,708
Factor Arrows
2125,854
Factor Arrows
262,927

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, 62927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 62,927 = 2,013,664

This can also be written as 25 x 62,9271 = 2,013,664

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


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