Q: What are the prime factors of the number 955,496?

 A: 2, 83, 1439

Why are those the prime factors of the number 955,496?

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 955,496

955,496
Factor Arrows
2477,748
Factor Arrows
2238,874
Factor Arrows
2119,437
Factor Arrows
831,439

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, 83, 1439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 83 x 1,439 = 955,496

This can also be written as 23 x 831 x 1,4391 = 955,496

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


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