Q: What are the prime factors of the number 16,017,216?

 A: 2, 3, 83423

Why are those the prime factors of the number 16,017,216?

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 16,017,216

16,017,216
Factor Arrows
28,008,608
Factor Arrows
24,004,304
Factor Arrows
22,002,152
Factor Arrows
21,001,076
Factor Arrows
2500,538
Factor Arrows
2250,269
Factor Arrows
383,423

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, 83423

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 83,423 = 16,017,216

This can also be written as 26 x 31 x 83,4231 = 16,017,216

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


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