Q: What are the prime factors of the number 20,731,416?

 A: 2, 3, 73, 11833

Why are those the prime factors of the number 20,731,416?

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 20,731,416

20,731,416
Factor Arrows
210,365,708
Factor Arrows
25,182,854
Factor Arrows
22,591,427
Factor Arrows
3863,809
Factor Arrows
7311,833

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, 73, 11833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 73 x 11,833 = 20,731,416

This can also be written as 23 x 31 x 731 x 11,8331 = 20,731,416

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


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