Q: What are the prime factors of the number 31,660,544?

 A: 2, 61837

Why are those the prime factors of the number 31,660,544?

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 31,660,544

31,660,544
Factor Arrows
215,830,272
Factor Arrows
27,915,136
Factor Arrows
23,957,568
Factor Arrows
21,978,784
Factor Arrows
2989,392
Factor Arrows
2494,696
Factor Arrows
2247,348
Factor Arrows
2123,674
Factor Arrows
261,837

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, 61837

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 61,837 = 31,660,544

This can also be written as 29 x 61,8371 = 31,660,544

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


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