Q: What are the prime factors of the number 16,034,576?

 A: 2, 619, 1619

Why are those the prime factors of the number 16,034,576?

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 16,034,576

16,034,576
Factor Arrows
28,017,288
Factor Arrows
24,008,644
Factor Arrows
22,004,322
Factor Arrows
21,002,161
Factor Arrows
6191,619

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, 619, 1619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 619 x 1,619 = 16,034,576

This can also be written as 24 x 6191 x 1,6191 = 16,034,576

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


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