Q: What are the prime factors of the number 20,716,672?

 A: 2, 29, 5581

Why are those the prime factors of the number 20,716,672?

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 20,716,672

20,716,672
Factor Arrows
210,358,336
Factor Arrows
25,179,168
Factor Arrows
22,589,584
Factor Arrows
21,294,792
Factor Arrows
2647,396
Factor Arrows
2323,698
Factor Arrows
2161,849
Factor Arrows
295,581

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, 29, 5581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29 x 5,581 = 20,716,672

This can also be written as 27 x 291 x 5,5811 = 20,716,672

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


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