Q: What are the prime factors of the number 9,730,568?

 A: 2, 311, 3911

Why are those the prime factors of the number 9,730,568?

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 9,730,568

9,730,568
Factor Arrows
24,865,284
Factor Arrows
22,432,642
Factor Arrows
21,216,321
Factor Arrows
3113,911

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, 311, 3911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 311 x 3,911 = 9,730,568

This can also be written as 23 x 3111 x 3,9111 = 9,730,568

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


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