Q: What are the prime factors of the number 669,702?

 A: 2, 3, 11, 73, 139

Why are those the prime factors of the number 669,702?

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 669,702

669,702
Factor Arrows
2334,851
Factor Arrows
3111,617
Factor Arrows
1110,147
Factor Arrows
73139

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, 11, 73, 139

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 73 x 139 = 669,702

This can also be written as 21 x 31 x 111 x 731 x 1391 = 669,702

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


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