Q: What are the prime factors of the number 52,166,144?

 A: 2, 139, 733

Why are those the prime factors of the number 52,166,144?

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 52,166,144

52,166,144
Factor Arrows
226,083,072
Factor Arrows
213,041,536
Factor Arrows
26,520,768
Factor Arrows
23,260,384
Factor Arrows
21,630,192
Factor Arrows
2815,096
Factor Arrows
2407,548
Factor Arrows
2203,774
Factor Arrows
2101,887
Factor Arrows
139733

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, 139, 733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 139 x 733 = 52,166,144

This can also be written as 29 x 1391 x 7331 = 52,166,144

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


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