Q: What are the prime factors of the number 16,670,286?

 A: 2, 3, 34301

Why are those the prime factors of the number 16,670,286?

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 16,670,286

16,670,286
Factor Arrows
28,335,143
Factor Arrows
32,778,381
Factor Arrows
3926,127
Factor Arrows
3308,709
Factor Arrows
3102,903
Factor Arrows
334,301

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, 34301

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 34,301 = 16,670,286

This can also be written as 21 x 35 x 34,3011 = 16,670,286

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


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