Q: What are the prime factors of the number 21,300,608?

 A: 2, 7, 23773

Why are those the prime factors of the number 21,300,608?

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 21,300,608

21,300,608
Factor Arrows
210,650,304
Factor Arrows
25,325,152
Factor Arrows
22,662,576
Factor Arrows
21,331,288
Factor Arrows
2665,644
Factor Arrows
2332,822
Factor Arrows
2166,411
Factor Arrows
723,773

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, 7, 23773

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 7 x 23,773 = 21,300,608

This can also be written as 27 x 71 x 23,7731 = 21,300,608

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


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