Q: What are the prime factors of the number 25,113,066?

 A: 2, 3, 11, 34591

Why are those the prime factors of the number 25,113,066?

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 25,113,066

25,113,066
Factor Arrows
212,556,533
Factor Arrows
34,185,511
Factor Arrows
11380,501
Factor Arrows
1134,591

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, 11, 34591

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 11 x 34,591 = 25,113,066

This can also be written as 21 x 31 x 112 x 34,5911 = 25,113,066

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


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