Q: What are the prime factors of the number 16,670,412?

 A: 2, 3, 11, 43, 89

Why are those the prime factors of the number 16,670,412?

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 16,670,412

16,670,412
Factor Arrows
28,335,206
Factor Arrows
24,167,603
Factor Arrows
31,389,201
Factor Arrows
3463,067
Factor Arrows
1142,097
Factor Arrows
113,827
Factor Arrows
4389

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, 11, 43, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 43 x 89 = 16,670,412

This can also be written as 22 x 32 x 112 x 431 x 891 = 16,670,412

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


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