Q: What are the prime factors of the number 20,975,072?

 A: 2, 655471

Why are those the prime factors of the number 20,975,072?

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 20,975,072

20,975,072
Factor Arrows
210,487,536
Factor Arrows
25,243,768
Factor Arrows
22,621,884
Factor Arrows
21,310,942
Factor Arrows
2655,471

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, 655471

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 655,471 = 20,975,072

This can also be written as 25 x 655,4711 = 20,975,072

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


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