Q: What are the prime factors of the number 26,539,870?

 A: 2, 5, 7, 54163

Why are those the prime factors of the number 26,539,870?

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 26,539,870

26,539,870
Factor Arrows
213,269,935
Factor Arrows
52,653,987
Factor Arrows
7379,141
Factor Arrows
754,163

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, 5, 7, 54163

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 54,163 = 26,539,870

This can also be written as 21 x 51 x 72 x 54,1631 = 26,539,870

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


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