Q: What are the prime factors of the number 651,003,568?

 A: 2, 2677, 15199

Why are those the prime factors of the number 651,003,568?

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 651,003,568

651,003,568
Factor Arrows
2325,501,784
Factor Arrows
2162,750,892
Factor Arrows
281,375,446
Factor Arrows
240,687,723
Factor Arrows
2,67715,199

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, 2677, 15199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2,677 x 15,199 = 651,003,568

This can also be written as 24 x 2,6771 x 15,1991 = 651,003,568

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


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