Q: What are the prime factors of the number 52,101,555?

 A: 3, 5, 11, 23, 13729

Why are those the prime factors of the number 52,101,555?

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 52,101,555

52,101,555
Factor Arrows
317,367,185
Factor Arrows
53,473,437
Factor Arrows
11315,767
Factor Arrows
2313,729

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, 5, 11, 23, 13729

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 23 x 13,729 = 52,101,555

This can also be written as 31 x 51 x 111 x 231 x 13,7291 = 52,101,555

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


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