Q: What are the prime factors of the number 880,245?

 A: 3, 5, 31, 631

Why are those the prime factors of the number 880,245?

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 880,245

880,245
Factor Arrows
3293,415
Factor Arrows
397,805
Factor Arrows
519,561
Factor Arrows
31631

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, 31, 631

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 31 x 631 = 880,245

This can also be written as 32 x 51 x 311 x 6311 = 880,245

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


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