Q: What are the prime factors of the number 16,110,344?

 A: 2, 61, 33013

Why are those the prime factors of the number 16,110,344?

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 16,110,344

16,110,344
Factor Arrows
28,055,172
Factor Arrows
24,027,586
Factor Arrows
22,013,793
Factor Arrows
6133,013

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, 61, 33013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 61 x 33,013 = 16,110,344

This can also be written as 23 x 611 x 33,0131 = 16,110,344

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


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