Q: What are the prime factors of the number 26,231,280?

 A: 2, 3, 5, 109297

Why are those the prime factors of the number 26,231,280?

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 26,231,280

26,231,280
Factor Arrows
213,115,640
Factor Arrows
26,557,820
Factor Arrows
23,278,910
Factor Arrows
21,639,455
Factor Arrows
3546,485
Factor Arrows
5109,297

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, 3, 5, 109297

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 109,297 = 26,231,280

This can also be written as 24 x 31 x 51 x 109,2971 = 26,231,280

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


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