Q: What are the prime factors of the number 16,530,381?

 A: 3, 7, 262387

Why are those the prime factors of the number 16,530,381?

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 16,530,381

16,530,381
Factor Arrows
35,510,127
Factor Arrows
31,836,709
Factor Arrows
7262,387

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:

3, 7, 262387

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 262,387 = 16,530,381

This can also be written as 32 x 71 x 262,3871 = 16,530,381

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


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