Q: What are the prime factors of the number 16,773,855?

 A: 3, 5, 7, 107, 1493

Why are those the prime factors of the number 16,773,855?

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 16,773,855

16,773,855
Factor Arrows
35,591,285
Factor Arrows
51,118,257
Factor Arrows
7159,751
Factor Arrows
1071,493

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, 107, 1493

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 107 x 1,493 = 16,773,855

This can also be written as 31 x 51 x 71 x 1071 x 1,4931 = 16,773,855

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


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