Q: What are the prime factors of the number 57,930,878?

 A: 2, 31, 449, 2081

Why are those the prime factors of the number 57,930,878?

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 57,930,878

57,930,878
Factor Arrows
228,965,439
Factor Arrows
31934,369
Factor Arrows
4492,081

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, 31, 449, 2081

We can check our work by multiplying all of the prime factors together: 2 x 31 x 449 x 2,081 = 57,930,878

This can also be written as 21 x 311 x 4491 x 2,0811 = 57,930,878

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


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