Q: What are the prime factors of the number 57,233,376?

 A: 2, 3, 37, 41, 131

Why are those the prime factors of the number 57,233,376?

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 57,233,376

57,233,376
Factor Arrows
228,616,688
Factor Arrows
214,308,344
Factor Arrows
27,154,172
Factor Arrows
23,577,086
Factor Arrows
21,788,543
Factor Arrows
3596,181
Factor Arrows
3198,727
Factor Arrows
375,371
Factor Arrows
41131

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, 37, 41, 131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 37 x 41 x 131 = 57,233,376

This can also be written as 25 x 32 x 371 x 411 x 1311 = 57,233,376

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


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