Q: What are the prime factors of the number 16,946,732?

 A: 2, 11, 385153

Why are those the prime factors of the number 16,946,732?

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 16,946,732

16,946,732
Factor Arrows
28,473,366
Factor Arrows
24,236,683
Factor Arrows
11385,153

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, 11, 385153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 385,153 = 16,946,732

This can also be written as 22 x 111 x 385,1531 = 16,946,732

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


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