Q: What are the prime factors of the number 950,535?

 A: 3, 5, 2347

Why are those the prime factors of the number 950,535?

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 950,535

950,535
Factor Arrows
3316,845
Factor Arrows
3105,615
Factor Arrows
335,205
Factor Arrows
311,735
Factor Arrows
52,347

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, 5, 2347

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 2,347 = 950,535

This can also be written as 34 x 51 x 2,3471 = 950,535

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


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