Q: What are the prime factors of the number 960,255?

 A: 3, 5, 2371

Why are those the prime factors of the number 960,255?

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 960,255

960,255
Factor Arrows
3320,085
Factor Arrows
3106,695
Factor Arrows
335,565
Factor Arrows
311,855
Factor Arrows
52,371

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, 2371

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 2,371 = 960,255

This can also be written as 34 x 51 x 2,3711 = 960,255

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


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