Q: What are the prime factors of the number 16,701,714?

 A: 2, 3, 131, 787

Why are those the prime factors of the number 16,701,714?

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 16,701,714

16,701,714
Factor Arrows
28,350,857
Factor Arrows
32,783,619
Factor Arrows
3927,873
Factor Arrows
3309,291
Factor Arrows
3103,097
Factor Arrows
131787

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, 131, 787

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 131 x 787 = 16,701,714

This can also be written as 21 x 34 x 1311 x 7871 = 16,701,714

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


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