Q: What are the prime factors of the number 666,430,224?

 A: 2, 3, 13883963

Why are those the prime factors of the number 666,430,224?

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 666,430,224

666,430,224
Factor Arrows
2333,215,112
Factor Arrows
2166,607,556
Factor Arrows
283,303,778
Factor Arrows
241,651,889
Factor Arrows
313,883,963

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, 3, 13883963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13,883,963 = 666,430,224

This can also be written as 24 x 31 x 13,883,9631 = 666,430,224

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


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