Q: What are the prime factors of the number 16,535,456?

 A: 2, 7, 73819

Why are those the prime factors of the number 16,535,456?

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 16,535,456

16,535,456
Factor Arrows
28,267,728
Factor Arrows
24,133,864
Factor Arrows
22,066,932
Factor Arrows
21,033,466
Factor Arrows
2516,733
Factor Arrows
773,819

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, 7, 73819

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 73,819 = 16,535,456

This can also be written as 25 x 71 x 73,8191 = 16,535,456

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


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