Q: What are the prime factors of the number 83,645,243?

 A: 11, 163, 4241

Why are those the prime factors of the number 83,645,243?

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 83,645,243

83,645,243
Factor Arrows
117,604,113
Factor Arrows
11691,283
Factor Arrows
1634,241

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:

11, 163, 4241

We can check our work by multiplying all of the prime factors together: 11 x 11 x 163 x 4,241 = 83,645,243

This can also be written as 112 x 1631 x 4,2411 = 83,645,243

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


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