Q: What are the prime factors of the number 20,608,792?

 A: 2, 29, 211, 421

Why are those the prime factors of the number 20,608,792?

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 20,608,792

20,608,792
Factor Arrows
210,304,396
Factor Arrows
25,152,198
Factor Arrows
22,576,099
Factor Arrows
2988,831
Factor Arrows
211421

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, 211, 421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 29 x 211 x 421 = 20,608,792

This can also be written as 23 x 291 x 2111 x 4211 = 20,608,792

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


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