Q: What are the prime factors of the number 25,304,370?

 A: 2, 3, 5, 7, 13, 23, 31

Why are those the prime factors of the number 25,304,370?

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 25,304,370

25,304,370
Factor Arrows
212,652,185
Factor Arrows
34,217,395
Factor Arrows
5843,479
Factor Arrows
7120,497
Factor Arrows
139,269
Factor Arrows
13713
Factor Arrows
2331

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, 7, 13, 23, 31

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 13 x 13 x 23 x 31 = 25,304,370

This can also be written as 21 x 31 x 51 x 71 x 132 x 231 x 311 = 25,304,370

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


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