Q: What are the prime factors of the number 57,562,076?

 A: 2, 11, 13, 7741

Why are those the prime factors of the number 57,562,076?

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 57,562,076

57,562,076
Factor Arrows
228,781,038
Factor Arrows
214,390,519
Factor Arrows
111,308,229
Factor Arrows
13100,633
Factor Arrows
137,741

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, 11, 13, 7741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 13 x 13 x 7,741 = 57,562,076

This can also be written as 22 x 111 x 132 x 7,7411 = 57,562,076

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


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