Q: What are the prime factors of the number 522,775,377?

 A: 3, 717113

Why are those the prime factors of the number 522,775,377?

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 522,775,377

522,775,377
Factor Arrows
3174,258,459
Factor Arrows
358,086,153
Factor Arrows
319,362,051
Factor Arrows
36,454,017
Factor Arrows
32,151,339
Factor Arrows
3717,113

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, 717113

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 717,113 = 522,775,377

This can also be written as 36 x 717,1131 = 522,775,377

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


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