Q: What are the prime factors of the number 18,991,203?

 A: 3, 7, 11, 19, 4327

Why are those the prime factors of the number 18,991,203?

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 18,991,203

18,991,203
Factor Arrows
36,330,401
Factor Arrows
7904,343
Factor Arrows
1182,213
Factor Arrows
194,327

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, 11, 19, 4327

We can check our work by multiplying all of the prime factors together: 3 x 7 x 11 x 19 x 4,327 = 18,991,203

This can also be written as 31 x 71 x 111 x 191 x 4,3271 = 18,991,203

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


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