Q: What are the prime factors of the number 63,233,406?

 A: 2, 3, 19, 61631

Why are those the prime factors of the number 63,233,406?

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 63,233,406

63,233,406
Factor Arrows
231,616,703
Factor Arrows
310,538,901
Factor Arrows
33,512,967
Factor Arrows
31,170,989
Factor Arrows
1961,631

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, 19, 61631

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 19 x 61,631 = 63,233,406

This can also be written as 21 x 33 x 191 x 61,6311 = 63,233,406

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


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