Q: What are the prime factors of the number 510,500,727?

 A: 3, 11, 5156573

Why are those the prime factors of the number 510,500,727?

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 510,500,727

510,500,727
Factor Arrows
3170,166,909
Factor Arrows
356,722,303
Factor Arrows
115,156,573

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:

3, 11, 5156573

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 5,156,573 = 510,500,727

This can also be written as 32 x 111 x 5,156,5731 = 510,500,727

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


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