Q: What are the prime factors of the number 500,708,584?

 A: 2, 62588573

Why are those the prime factors of the number 500,708,584?

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 500,708,584

500,708,584
Factor Arrows
2250,354,292
Factor Arrows
2125,177,146
Factor Arrows
262,588,573

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, 62588573

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 62,588,573 = 500,708,584

This can also be written as 23 x 62,588,5731 = 500,708,584

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


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