Q: What are the prime factors of the number 62,585,136?

 A: 2, 3, 16097

Why are those the prime factors of the number 62,585,136?

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 62,585,136

62,585,136
Factor Arrows
231,292,568
Factor Arrows
215,646,284
Factor Arrows
27,823,142
Factor Arrows
23,911,571
Factor Arrows
31,303,857
Factor Arrows
3434,619
Factor Arrows
3144,873
Factor Arrows
348,291
Factor Arrows
316,097

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, 16097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 16,097 = 62,585,136

This can also be written as 24 x 35 x 16,0971 = 62,585,136

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


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