Q: What are the prime factors of the number 212,206,555?

 A: 5, 11, 101, 38201

Why are those the prime factors of the number 212,206,555?

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 212,206,555

212,206,555
Factor Arrows
542,441,311
Factor Arrows
113,858,301
Factor Arrows
10138,201

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:

5, 11, 101, 38201

We can check our work by multiplying all of the prime factors together: 5 x 11 x 101 x 38,201 = 212,206,555

This can also be written as 51 x 111 x 1011 x 38,2011 = 212,206,555

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


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