Q: What are the prime factors of the number 52,511,172?

 A: 2, 3, 7, 625133

Why are those the prime factors of the number 52,511,172?

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 52,511,172

52,511,172
Factor Arrows
226,255,586
Factor Arrows
213,127,793
Factor Arrows
34,375,931
Factor Arrows
7625,133

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, 3, 7, 625133

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 625,133 = 52,511,172

This can also be written as 22 x 31 x 71 x 625,1331 = 52,511,172

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


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