Q: What are the prime factors of the number 959,856?

 A: 2, 3, 19997

Why are those the prime factors of the number 959,856?

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 959,856

959,856
Factor Arrows
2479,928
Factor Arrows
2239,964
Factor Arrows
2119,982
Factor Arrows
259,991
Factor Arrows
319,997

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, 19997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19,997 = 959,856

This can also be written as 24 x 31 x 19,9971 = 959,856

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


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