Q: What are the prime factors of the number 52,646,011?

 A: 11, 23, 18917

Why are those the prime factors of the number 52,646,011?

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 52,646,011

52,646,011
Factor Arrows
114,786,001
Factor Arrows
11435,091
Factor Arrows
2318,917

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, 23, 18917

We can check our work by multiplying all of the prime factors together: 11 x 11 x 23 x 18,917 = 52,646,011

This can also be written as 112 x 231 x 18,9171 = 52,646,011

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


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