Q: What are the prime factors of the number 52,167,772?

 A: 2, 23, 43, 13187

Why are those the prime factors of the number 52,167,772?

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 52,167,772

52,167,772
Factor Arrows
226,083,886
Factor Arrows
213,041,943
Factor Arrows
23567,041
Factor Arrows
4313,187

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, 23, 43, 13187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 43 x 13,187 = 52,167,772

This can also be written as 22 x 231 x 431 x 13,1871 = 52,167,772

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


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