Q: What are the prime factors of the number 664,111,550?

 A: 2, 5, 107, 124133

Why are those the prime factors of the number 664,111,550?

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 664,111,550

664,111,550
Factor Arrows
2332,055,775
Factor Arrows
566,411,155
Factor Arrows
513,282,231
Factor Arrows
107124,133

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, 107, 124133

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 107 x 124,133 = 664,111,550

This can also be written as 21 x 52 x 1071 x 124,1331 = 664,111,550

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


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