Q: What are the prime factors of the number 25,403,598?

 A: 2, 3, 11, 42767

Why are those the prime factors of the number 25,403,598?

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 25,403,598

25,403,598
Factor Arrows
212,701,799
Factor Arrows
34,233,933
Factor Arrows
31,411,311
Factor Arrows
3470,437
Factor Arrows
1142,767

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, 42767

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 11 x 42,767 = 25,403,598

This can also be written as 21 x 33 x 111 x 42,7671 = 25,403,598

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


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