Q: What are the prime factors of the number 16,006,736?

 A: 2, 907, 1103

Why are those the prime factors of the number 16,006,736?

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 16,006,736

16,006,736
Factor Arrows
28,003,368
Factor Arrows
24,001,684
Factor Arrows
22,000,842
Factor Arrows
21,000,421
Factor Arrows
9071,103

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, 907, 1103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 907 x 1,103 = 16,006,736

This can also be written as 24 x 9071 x 1,1031 = 16,006,736

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


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