Q: What are the prime factors of the number 16,893,860?

 A: 2, 5, 587, 1439

Why are those the prime factors of the number 16,893,860?

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 16,893,860

16,893,860
Factor Arrows
28,446,930
Factor Arrows
24,223,465
Factor Arrows
5844,693
Factor Arrows
5871,439

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, 5, 587, 1439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 587 x 1,439 = 16,893,860

This can also be written as 22 x 51 x 5871 x 1,4391 = 16,893,860

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


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