Q: What are the prime factors of the number 985,808?

 A: 2, 61613

Why are those the prime factors of the number 985,808?

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 985,808

985,808
Factor Arrows
2492,904
Factor Arrows
2246,452
Factor Arrows
2123,226
Factor Arrows
261,613

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, 61613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 61,613 = 985,808

This can also be written as 24 x 61,6131 = 985,808

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


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