Q: What are the prime factors of the number 869,292?

 A: 2, 3, 2683

Why are those the prime factors of the number 869,292?

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 869,292

869,292
Factor Arrows
2434,646
Factor Arrows
2217,323
Factor Arrows
372,441
Factor Arrows
324,147
Factor Arrows
38,049
Factor Arrows
32,683

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, 2683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 2,683 = 869,292

This can also be written as 22 x 34 x 2,6831 = 869,292

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


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