Q: What are the prime factors of the number 57,551,436?

 A: 2, 3, 1598651

Why are those the prime factors of the number 57,551,436?

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 57,551,436

57,551,436
Factor Arrows
228,775,718
Factor Arrows
214,387,859
Factor Arrows
34,795,953
Factor Arrows
31,598,651

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, 3, 1598651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 1,598,651 = 57,551,436

This can also be written as 22 x 32 x 1,598,6511 = 57,551,436

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


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