Q: What are the prime factors of the number 16,773,912?

 A: 2, 3, 79, 983

Why are those the prime factors of the number 16,773,912?

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 16,773,912

16,773,912
Factor Arrows
28,386,956
Factor Arrows
24,193,478
Factor Arrows
22,096,739
Factor Arrows
3698,913
Factor Arrows
3232,971
Factor Arrows
377,657
Factor Arrows
79983

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, 3, 79, 983

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 79 x 983 = 16,773,912

This can also be written as 23 x 33 x 791 x 9831 = 16,773,912

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


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