Q: What are the prime factors of the number 52,526,552?

 A: 2, 13, 38851

Why are those the prime factors of the number 52,526,552?

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 52,526,552

52,526,552
Factor Arrows
226,263,276
Factor Arrows
213,131,638
Factor Arrows
26,565,819
Factor Arrows
13505,063
Factor Arrows
1338,851

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, 13, 38851

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 13 x 38,851 = 52,526,552

This can also be written as 23 x 132 x 38,8511 = 52,526,552

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


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