Q: What are the prime factors of the number 2,726,656?

 A: 2, 10651

Why are those the prime factors of the number 2,726,656?

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 2,726,656

2,726,656
Factor Arrows
21,363,328
Factor Arrows
2681,664
Factor Arrows
2340,832
Factor Arrows
2170,416
Factor Arrows
285,208
Factor Arrows
242,604
Factor Arrows
221,302
Factor Arrows
210,651

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, 10651

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 2 x 2 x 10,651 = 2,726,656

This can also be written as 28 x 10,6511 = 2,726,656

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


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