Q: What are the prime factors of the number 16,015,744?

 A: 2, 211, 593

Why are those the prime factors of the number 16,015,744?

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 16,015,744

16,015,744
Factor Arrows
28,007,872
Factor Arrows
24,003,936
Factor Arrows
22,001,968
Factor Arrows
21,000,984
Factor Arrows
2500,492
Factor Arrows
2250,246
Factor Arrows
2125,123
Factor Arrows
211593

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, 211, 593

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 2 x 211 x 593 = 16,015,744

This can also be written as 27 x 2111 x 5931 = 16,015,744

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


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