Q: What are the prime factors of the number 16,222,014?

 A: 2, 3, 101, 8923

Why are those the prime factors of the number 16,222,014?

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 16,222,014

16,222,014
Factor Arrows
28,111,007
Factor Arrows
32,703,669
Factor Arrows
3901,223
Factor Arrows
1018,923

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, 3, 101, 8923

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 101 x 8,923 = 16,222,014

This can also be written as 21 x 32 x 1011 x 8,9231 = 16,222,014

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


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