Q: What are the prime factors of the number 52,610,888?

 A: 2, 11, 739, 809

Why are those the prime factors of the number 52,610,888?

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 52,610,888

52,610,888
Factor Arrows
226,305,444
Factor Arrows
213,152,722
Factor Arrows
26,576,361
Factor Arrows
11597,851
Factor Arrows
739809

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, 11, 739, 809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 739 x 809 = 52,610,888

This can also be written as 23 x 111 x 7391 x 8091 = 52,610,888

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


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