Q: What are the prime factors of the number 16,061,661?

 A: 3, 7, 11, 43

Why are those the prime factors of the number 16,061,661?

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 16,061,661

16,061,661
Factor Arrows
35,353,887
Factor Arrows
31,784,629
Factor Arrows
7254,947
Factor Arrows
736,421
Factor Arrows
75,203
Factor Arrows
11473
Factor Arrows
1143

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:

3, 7, 11, 43

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 7 x 11 x 11 x 43 = 16,061,661

This can also be written as 32 x 73 x 112 x 431 = 16,061,661

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


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