Q: What are the prime factors of the number 665,014,105?

 A: 5, 7, 821, 23143

Why are those the prime factors of the number 665,014,105?

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 665,014,105

665,014,105
Factor Arrows
5133,002,821
Factor Arrows
719,000,403
Factor Arrows
82123,143

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:

5, 7, 821, 23143

We can check our work by multiplying all of the prime factors together: 5 x 7 x 821 x 23,143 = 665,014,105

This can also be written as 51 x 71 x 8211 x 23,1431 = 665,014,105

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


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