Q: What are the prime factors of the number 666,620,360?

 A: 2, 5, 7, 2380787

Why are those the prime factors of the number 666,620,360?

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 666,620,360

666,620,360
Factor Arrows
2333,310,180
Factor Arrows
2166,655,090
Factor Arrows
283,327,545
Factor Arrows
516,665,509
Factor Arrows
72,380,787

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, 7, 2380787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 2,380,787 = 666,620,360

This can also be written as 23 x 51 x 71 x 2,380,7871 = 666,620,360

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


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