Q: What are the prime factors of the number 16,603,455?

 A: 3, 5, 11, 47, 2141

Why are those the prime factors of the number 16,603,455?

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 16,603,455

16,603,455
Factor Arrows
35,534,485
Factor Arrows
51,106,897
Factor Arrows
11100,627
Factor Arrows
472,141

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, 11, 47, 2141

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 47 x 2,141 = 16,603,455

This can also be written as 31 x 51 x 111 x 471 x 2,1411 = 16,603,455

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


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