Q: What are the prime factors of the number 74,008,825?

 A: 5, 11, 23, 11701

Why are those the prime factors of the number 74,008,825?

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 74,008,825

74,008,825
Factor Arrows
514,801,765
Factor Arrows
52,960,353
Factor Arrows
11269,123
Factor Arrows
2311,701

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:

5, 11, 23, 11701

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 23 x 11,701 = 74,008,825

This can also be written as 52 x 111 x 231 x 11,7011 = 74,008,825

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


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