Q: What are the prime factors of the number 665,060,002?

 A: 2, 19, 2347, 7457

Why are those the prime factors of the number 665,060,002?

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 665,060,002

665,060,002
Factor Arrows
2332,530,001
Factor Arrows
1917,501,579
Factor Arrows
2,3477,457

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, 19, 2347, 7457

We can check our work by multiplying all of the prime factors together: 2 x 19 x 2,347 x 7,457 = 665,060,002

This can also be written as 21 x 191 x 2,3471 x 7,4571 = 665,060,002

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


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