Q: What are the prime factors of the number 975,806?

 A: 2, 13, 2887

Why are those the prime factors of the number 975,806?

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 975,806

975,806
Factor Arrows
2487,903
Factor Arrows
1337,531
Factor Arrows
132,887

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, 13, 2887

We can check our work by multiplying all of the prime factors together: 2 x 13 x 13 x 2,887 = 975,806

This can also be written as 21 x 132 x 2,8871 = 975,806

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


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