Q: What are the prime factors of the number 25,407,837?

 A: 3, 7, 13, 383

Why are those the prime factors of the number 25,407,837?

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 25,407,837

25,407,837
Factor Arrows
38,469,279
Factor Arrows
32,823,093
Factor Arrows
3941,031
Factor Arrows
3313,677
Factor Arrows
3104,559
Factor Arrows
334,853
Factor Arrows
74,979
Factor Arrows
13383

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:

3, 7, 13, 383

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 7 x 13 x 383 = 25,407,837

This can also be written as 36 x 71 x 131 x 3831 = 25,407,837

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


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