Q: What are the prime factors of the number 64,275,325?

 A: 5, 43, 59791

Why are those the prime factors of the number 64,275,325?

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 64,275,325

64,275,325
Factor Arrows
512,855,065
Factor Arrows
52,571,013
Factor Arrows
4359,791

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, 43, 59791

We can check our work by multiplying all of the prime factors together: 5 x 5 x 43 x 59,791 = 64,275,325

This can also be written as 52 x 431 x 59,7911 = 64,275,325

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


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