Q: What are the prime factors of the number 16,644,069?

 A: 3, 13, 47419

Why are those the prime factors of the number 16,644,069?

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 16,644,069

16,644,069
Factor Arrows
35,548,023
Factor Arrows
31,849,341
Factor Arrows
3616,447
Factor Arrows
1347,419

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, 13, 47419

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 47,419 = 16,644,069

This can also be written as 33 x 131 x 47,4191 = 16,644,069

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


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