Q: What are the prime factors of the number 26,926,856?

 A: 2, 11, 27817

Why are those the prime factors of the number 26,926,856?

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 26,926,856

26,926,856
Factor Arrows
213,463,428
Factor Arrows
26,731,714
Factor Arrows
23,365,857
Factor Arrows
11305,987
Factor Arrows
1127,817

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, 11, 27817

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 11 x 27,817 = 26,926,856

This can also be written as 23 x 112 x 27,8171 = 26,926,856

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


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