Q: What are the prime factors of the number 26,476,640?

 A: 2, 5, 165479

Why are those the prime factors of the number 26,476,640?

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 26,476,640

26,476,640
Factor Arrows
213,238,320
Factor Arrows
26,619,160
Factor Arrows
23,309,580
Factor Arrows
21,654,790
Factor Arrows
2827,395
Factor Arrows
5165,479

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, 165479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 165,479 = 26,476,640

This can also be written as 25 x 51 x 165,4791 = 26,476,640

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


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