Q: What are the prime factors of the number 650,306,277?

 A: 3, 617, 117109

Why are those the prime factors of the number 650,306,277?

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 650,306,277

650,306,277
Factor Arrows
3216,768,759
Factor Arrows
372,256,253
Factor Arrows
617117,109

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, 617, 117109

We can check our work by multiplying all of the prime factors together: 3 x 3 x 617 x 117,109 = 650,306,277

This can also be written as 32 x 6171 x 117,1091 = 650,306,277

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


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