Q: What are the prime factors of the number 959,610?

 A: 2, 3, 5, 29, 1103

Why are those the prime factors of the number 959,610?

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 959,610

959,610
Factor Arrows
2479,805
Factor Arrows
3159,935
Factor Arrows
531,987
Factor Arrows
291,103

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, 5, 29, 1103

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 29 x 1,103 = 959,610

This can also be written as 21 x 31 x 51 x 291 x 1,1031 = 959,610

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


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