Q: What are the prime factors of the number 56,062,744?

 A: 2, 41, 59, 2897

Why are those the prime factors of the number 56,062,744?

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 56,062,744

56,062,744
Factor Arrows
228,031,372
Factor Arrows
214,015,686
Factor Arrows
27,007,843
Factor Arrows
41170,923
Factor Arrows
592,897

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:

2, 41, 59, 2897

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 41 x 59 x 2,897 = 56,062,744

This can also be written as 23 x 411 x 591 x 2,8971 = 56,062,744

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


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