Q: What are the prime factors of the number 10,767,852?

 A: 2, 3, 299107

Why are those the prime factors of the number 10,767,852?

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 10,767,852

10,767,852
Factor Arrows
25,383,926
Factor Arrows
22,691,963
Factor Arrows
3897,321
Factor Arrows
3299,107

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, 299107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 299,107 = 10,767,852

This can also be written as 22 x 32 x 299,1071 = 10,767,852

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


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