Q: What are the prime factors of the number 9,887,076?

 A: 2, 3, 43, 2129

Why are those the prime factors of the number 9,887,076?

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 9,887,076

9,887,076
Factor Arrows
24,943,538
Factor Arrows
22,471,769
Factor Arrows
3823,923
Factor Arrows
3274,641
Factor Arrows
391,547
Factor Arrows
432,129

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, 43, 2129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 43 x 2,129 = 9,887,076

This can also be written as 22 x 33 x 431 x 2,1291 = 9,887,076

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


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