Q: What are the prime factors of the number 63,235,227?

 A: 3, 11, 71, 137, 197

Why are those the prime factors of the number 63,235,227?

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 63,235,227

63,235,227
Factor Arrows
321,078,409
Factor Arrows
111,916,219
Factor Arrows
7126,989
Factor Arrows
137197

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:

3, 11, 71, 137, 197

We can check our work by multiplying all of the prime factors together: 3 x 11 x 71 x 137 x 197 = 63,235,227

This can also be written as 31 x 111 x 711 x 1371 x 1971 = 63,235,227

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


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