Q: What are the prime factors of the number 911,493?

 A: 3, 11, 31

Why are those the prime factors of the number 911,493?

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 911,493

911,493
Factor Arrows
3303,831
Factor Arrows
3101,277
Factor Arrows
333,759
Factor Arrows
311,253
Factor Arrows
33,751
Factor Arrows
11341
Factor Arrows
1131

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, 11, 31

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 11 x 11 x 31 = 911,493

This can also be written as 35 x 112 x 311 = 911,493

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


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