Q: What are the prime factors of the number 16,013,250?

 A: 2, 3, 5, 11, 647

Why are those the prime factors of the number 16,013,250?

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 16,013,250

16,013,250
Factor Arrows
28,006,625
Factor Arrows
32,668,875
Factor Arrows
3889,625
Factor Arrows
5177,925
Factor Arrows
535,585
Factor Arrows
57,117
Factor Arrows
11647

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, 5, 11, 647

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 5 x 11 x 647 = 16,013,250

This can also be written as 21 x 32 x 53 x 111 x 6471 = 16,013,250

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


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