Q: What are the prime factors of the number 25,724,790?

 A: 2, 3, 5, 7, 13, 349

Why are those the prime factors of the number 25,724,790?

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 25,724,790

25,724,790
Factor Arrows
212,862,395
Factor Arrows
34,287,465
Factor Arrows
31,429,155
Factor Arrows
3476,385
Factor Arrows
3158,795
Factor Arrows
531,759
Factor Arrows
74,537
Factor Arrows
13349

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, 349

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 349 = 25,724,790

This can also be written as 21 x 34 x 51 x 71 x 131 x 3491 = 25,724,790

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


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