Q: What are the prime factors of the number 25,081,086?

 A: 2, 3, 17, 23, 10691

Why are those the prime factors of the number 25,081,086?

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 25,081,086

25,081,086
Factor Arrows
212,540,543
Factor Arrows
34,180,181
Factor Arrows
17245,893
Factor Arrows
2310,691

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, 17, 23, 10691

We can check our work by multiplying all of the prime factors together: 2 x 3 x 17 x 23 x 10,691 = 25,081,086

This can also be written as 21 x 31 x 171 x 231 x 10,6911 = 25,081,086

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


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