Q: What are the prime factors of the number 16,703,784?

 A: 2, 3, 101, 2297

Why are those the prime factors of the number 16,703,784?

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 16,703,784

16,703,784
Factor Arrows
28,351,892
Factor Arrows
24,175,946
Factor Arrows
22,087,973
Factor Arrows
3695,991
Factor Arrows
3231,997
Factor Arrows
1012,297

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, 101, 2297

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 101 x 2,297 = 16,703,784

This can also be written as 23 x 32 x 1011 x 2,2971 = 16,703,784

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


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