Q: What are the prime factors of the number 57,694,480?

 A: 2, 5, 721181

Why are those the prime factors of the number 57,694,480?

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 57,694,480

57,694,480
Factor Arrows
228,847,240
Factor Arrows
214,423,620
Factor Arrows
27,211,810
Factor Arrows
23,605,905
Factor Arrows
5721,181

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, 5, 721181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 721,181 = 57,694,480

This can also be written as 24 x 51 x 721,1811 = 57,694,480

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


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