Q: What are the prime factors of the number 12,031,803?

 A: 3, 7, 27283

Why are those the prime factors of the number 12,031,803?

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 12,031,803

12,031,803
Factor Arrows
34,010,601
Factor Arrows
31,336,867
Factor Arrows
7190,981
Factor Arrows
727,283

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:

3, 7, 27283

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 27,283 = 12,031,803

This can also be written as 32 x 72 x 27,2831 = 12,031,803

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


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