Q: What are the prime factors of the number 74,526,225?

 A: 3, 5, 993683

Why are those the prime factors of the number 74,526,225?

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 74,526,225

74,526,225
Factor Arrows
324,842,075
Factor Arrows
54,968,415
Factor Arrows
5993,683

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:

3, 5, 993683

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 993,683 = 74,526,225

This can also be written as 31 x 52 x 993,6831 = 74,526,225

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


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