Q: What are the prime factors of the number 16,061,108?

 A: 2, 7, 37, 419

Why are those the prime factors of the number 16,061,108?

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 16,061,108

16,061,108
Factor Arrows
28,030,554
Factor Arrows
24,015,277
Factor Arrows
7573,611
Factor Arrows
3715,503
Factor Arrows
37419

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, 7, 37, 419

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 37 x 37 x 419 = 16,061,108

This can also be written as 22 x 71 x 372 x 4191 = 16,061,108

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


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