Q: What are the prime factors of the number 16,105,884?

 A: 2, 3, 191, 7027

Why are those the prime factors of the number 16,105,884?

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 16,105,884

16,105,884
Factor Arrows
28,052,942
Factor Arrows
24,026,471
Factor Arrows
31,342,157
Factor Arrows
1917,027

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, 191, 7027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 191 x 7,027 = 16,105,884

This can also be written as 22 x 31 x 1911 x 7,0271 = 16,105,884

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


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