Q: What are the prime factors of the number 664,775,265?

 A: 3, 5, 7, 11, 29, 89, 223

Why are those the prime factors of the number 664,775,265?

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 664,775,265

664,775,265
Factor Arrows
3221,591,755
Factor Arrows
544,318,351
Factor Arrows
76,331,193
Factor Arrows
11575,563
Factor Arrows
2919,847
Factor Arrows
89223

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, 5, 7, 11, 29, 89, 223

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 11 x 29 x 89 x 223 = 664,775,265

This can also be written as 31 x 51 x 71 x 111 x 291 x 891 x 2231 = 664,775,265

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


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