Q: What are the prime factors of the number 16,138,815?

 A: 3, 5, 7, 11, 89, 157

Why are those the prime factors of the number 16,138,815?

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 16,138,815

16,138,815
Factor Arrows
35,379,605
Factor Arrows
51,075,921
Factor Arrows
7153,703
Factor Arrows
1113,973
Factor Arrows
89157

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, 5, 7, 11, 89, 157

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 11 x 89 x 157 = 16,138,815

This can also be written as 31 x 51 x 71 x 111 x 891 x 1571 = 16,138,815

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


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