Q: What are the prime factors of the number 57,353,247?

 A: 3, 7, 910369

Why are those the prime factors of the number 57,353,247?

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 57,353,247

57,353,247
Factor Arrows
319,117,749
Factor Arrows
36,372,583
Factor Arrows
7910,369

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:

3, 7, 910369

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 910,369 = 57,353,247

This can also be written as 32 x 71 x 910,3691 = 57,353,247

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


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