Q: What are the prime factors of the number 16,367,670?

 A: 2, 3, 5, 11, 167

Why are those the prime factors of the number 16,367,670?

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 16,367,670

16,367,670
Factor Arrows
28,183,835
Factor Arrows
32,727,945
Factor Arrows
3909,315
Factor Arrows
3303,105
Factor Arrows
3101,035
Factor Arrows
520,207
Factor Arrows
111,837
Factor Arrows
11167

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, 167

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 11 x 11 x 167 = 16,367,670

This can also be written as 21 x 34 x 51 x 112 x 1671 = 16,367,670

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


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