Q: What are the prime factors of the number 16,751,400?

 A: 2, 3, 5, 27919

Why are those the prime factors of the number 16,751,400?

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 16,751,400

16,751,400
Factor Arrows
28,375,700
Factor Arrows
24,187,850
Factor Arrows
22,093,925
Factor Arrows
3697,975
Factor Arrows
5139,595
Factor Arrows
527,919

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, 5, 27919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 27,919 = 16,751,400

This can also be written as 23 x 31 x 52 x 27,9191 = 16,751,400

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


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