Q: What are the prime factors of the number 698,610?

 A: 2, 3, 5, 11, 29, 73

Why are those the prime factors of the number 698,610?

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 698,610

698,610
Factor Arrows
2349,305
Factor Arrows
3116,435
Factor Arrows
523,287
Factor Arrows
112,117
Factor Arrows
2973

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, 11, 29, 73

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 11 x 29 x 73 = 698,610

This can also be written as 21 x 31 x 51 x 111 x 291 x 731 = 698,610

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


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