Q: What are the prime factors of the number 576,854,560?

 A: 2, 5, 3605341

Why are those the prime factors of the number 576,854,560?

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 576,854,560

576,854,560
Factor Arrows
2288,427,280
Factor Arrows
2144,213,640
Factor Arrows
272,106,820
Factor Arrows
236,053,410
Factor Arrows
218,026,705
Factor Arrows
53,605,341

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, 3605341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 3,605,341 = 576,854,560

This can also be written as 25 x 51 x 3,605,3411 = 576,854,560

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


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