Q: What are the prime factors of the number 66,721,488?

 A: 2, 3, 53, 26227

Why are those the prime factors of the number 66,721,488?

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 66,721,488

66,721,488
Factor Arrows
233,360,744
Factor Arrows
216,680,372
Factor Arrows
28,340,186
Factor Arrows
24,170,093
Factor Arrows
31,390,031
Factor Arrows
5326,227

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, 53, 26227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 53 x 26,227 = 66,721,488

This can also be written as 24 x 31 x 531 x 26,2271 = 66,721,488

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


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