Q: What are the prime factors of the number 16,172,010?

 A: 2, 3, 5, 179689

Why are those the prime factors of the number 16,172,010?

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 16,172,010

16,172,010
Factor Arrows
28,086,005
Factor Arrows
32,695,335
Factor Arrows
3898,445
Factor Arrows
5179,689

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, 179689

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 179,689 = 16,172,010

This can also be written as 21 x 32 x 51 x 179,6891 = 16,172,010

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


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