Q: What are the prime factors of the number 3,135,096?

 A: 2, 3, 43543

Why are those the prime factors of the number 3,135,096?

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 3,135,096

3,135,096
Factor Arrows
21,567,548
Factor Arrows
2783,774
Factor Arrows
2391,887
Factor Arrows
3130,629
Factor Arrows
343,543

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, 43543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 43,543 = 3,135,096

This can also be written as 23 x 32 x 43,5431 = 3,135,096

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


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