Q: What are the prime factors of the number 52,660,680?

 A: 2, 3, 5, 47, 9337

Why are those the prime factors of the number 52,660,680?

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 52,660,680

52,660,680
Factor Arrows
226,330,340
Factor Arrows
213,165,170
Factor Arrows
26,582,585
Factor Arrows
32,194,195
Factor Arrows
5438,839
Factor Arrows
479,337

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, 5, 47, 9337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 47 x 9,337 = 52,660,680

This can also be written as 23 x 31 x 51 x 471 x 9,3371 = 52,660,680

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


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