Q: What are the prime factors of the number 588,846,621?

 A: 3, 11, 23, 70529

Why are those the prime factors of the number 588,846,621?

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 588,846,621

588,846,621
Factor Arrows
3196,282,207
Factor Arrows
1117,843,837
Factor Arrows
111,622,167
Factor Arrows
2370,529

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, 11, 23, 70529

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 23 x 70,529 = 588,846,621

This can also be written as 31 x 112 x 231 x 70,5291 = 588,846,621

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


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