Q: What are the prime factors of the number 949,347?

 A: 3, 7, 5023

Why are those the prime factors of the number 949,347?

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 949,347

949,347
Factor Arrows
3316,449
Factor Arrows
3105,483
Factor Arrows
335,161
Factor Arrows
75,023

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, 7, 5023

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 5,023 = 949,347

This can also be written as 33 x 71 x 5,0231 = 949,347

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


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