Q: What are the prime factors of the number 25,017,398?

 A: 2, 7, 67, 149, 179

Why are those the prime factors of the number 25,017,398?

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 25,017,398

25,017,398
Factor Arrows
212,508,699
Factor Arrows
71,786,957
Factor Arrows
6726,671
Factor Arrows
149179

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, 7, 67, 149, 179

We can check our work by multiplying all of the prime factors together: 2 x 7 x 67 x 149 x 179 = 25,017,398

This can also be written as 21 x 71 x 671 x 1491 x 1791 = 25,017,398

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


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