Q: What are the prime factors of the number 582,508,250?

 A: 2, 5, 251, 9283

Why are those the prime factors of the number 582,508,250?

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 582,508,250

582,508,250
Factor Arrows
2291,254,125
Factor Arrows
558,250,825
Factor Arrows
511,650,165
Factor Arrows
52,330,033
Factor Arrows
2519,283

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, 251, 9283

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 251 x 9,283 = 582,508,250

This can also be written as 21 x 53 x 2511 x 9,2831 = 582,508,250

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


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