Q: What are the prime factors of the number 52,715,136?

 A: 2, 3, 137279

Why are those the prime factors of the number 52,715,136?

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 52,715,136

52,715,136
Factor Arrows
226,357,568
Factor Arrows
213,178,784
Factor Arrows
26,589,392
Factor Arrows
23,294,696
Factor Arrows
21,647,348
Factor Arrows
2823,674
Factor Arrows
2411,837
Factor Arrows
3137,279

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, 137279

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 3 x 137,279 = 52,715,136

This can also be written as 27 x 31 x 137,2791 = 52,715,136

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


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