Q: What are the prime factors of the number 605,715?

 A: 3, 5, 11, 3671

Why are those the prime factors of the number 605,715?

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 605,715

605,715
Factor Arrows
3201,905
Factor Arrows
540,381
Factor Arrows
113,671

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, 11, 3671

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 3,671 = 605,715

This can also be written as 31 x 51 x 111 x 3,6711 = 605,715

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


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