Q: What are the prime factors of the number 975,930?

 A: 2, 3, 5, 32531

Why are those the prime factors of the number 975,930?

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 975,930

975,930
Factor Arrows
2487,965
Factor Arrows
3162,655
Factor Arrows
532,531

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:

2, 3, 5, 32531

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 32,531 = 975,930

This can also be written as 21 x 31 x 51 x 32,5311 = 975,930

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


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