Q: What are the prime factors of the number 16,188,406?

 A: 2, 13, 67, 9293

Why are those the prime factors of the number 16,188,406?

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 16,188,406

16,188,406
Factor Arrows
28,094,203
Factor Arrows
13622,631
Factor Arrows
679,293

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:

2, 13, 67, 9293

We can check our work by multiplying all of the prime factors together: 2 x 13 x 67 x 9,293 = 16,188,406

This can also be written as 21 x 131 x 671 x 9,2931 = 16,188,406

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


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