Q: What are the prime factors of the number 16,845,367?

 A: 7, 11, 31253

Why are those the prime factors of the number 16,845,367?

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 16,845,367

16,845,367
Factor Arrows
72,406,481
Factor Arrows
7343,783
Factor Arrows
1131,253

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, 11, 31253

We can check our work by multiplying all of the prime factors together: 7 x 7 x 11 x 31,253 = 16,845,367

This can also be written as 72 x 111 x 31,2531 = 16,845,367

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


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