Q: What are the prime factors of the number 934,497?

 A: 3, 83, 139

Why are those the prime factors of the number 934,497?

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 934,497

934,497
Factor Arrows
3311,499
Factor Arrows
3103,833
Factor Arrows
334,611
Factor Arrows
311,537
Factor Arrows
83139

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, 83, 139

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 83 x 139 = 934,497

This can also be written as 34 x 831 x 1391 = 934,497

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


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