Q: What are the prime factors of the number 18,433,807?

 A: 7, 37, 103, 691

Why are those the prime factors of the number 18,433,807?

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 18,433,807

18,433,807
Factor Arrows
72,633,401
Factor Arrows
3771,173
Factor Arrows
103691

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:

7, 37, 103, 691

We can check our work by multiplying all of the prime factors together: 7 x 37 x 103 x 691 = 18,433,807

This can also be written as 71 x 371 x 1031 x 6911 = 18,433,807

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


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