Q: What are the prime factors of the number 56,177,735?

 A: 5, 31, 59, 6143

Why are those the prime factors of the number 56,177,735?

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 56,177,735

56,177,735
Factor Arrows
511,235,547
Factor Arrows
31362,437
Factor Arrows
596,143

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, 31, 59, 6143

We can check our work by multiplying all of the prime factors together: 5 x 31 x 59 x 6,143 = 56,177,735

This can also be written as 51 x 311 x 591 x 6,1431 = 56,177,735

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


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