Q: What are the prime factors of the number 16,644,950?

 A: 2, 5, 7, 19, 2503

Why are those the prime factors of the number 16,644,950?

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 16,644,950

16,644,950
Factor Arrows
28,322,475
Factor Arrows
51,664,495
Factor Arrows
5332,899
Factor Arrows
747,557
Factor Arrows
192,503

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, 5, 7, 19, 2503

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 19 x 2,503 = 16,644,950

This can also be written as 21 x 52 x 71 x 191 x 2,5031 = 16,644,950

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


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