Q: What are the prime factors of the number 61,568?

 A: 2, 13, 37

Why are those the prime factors of the number 61,568?

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 61,568

61,568
Factor Arrows
230,784
Factor Arrows
215,392
Factor Arrows
27,696
Factor Arrows
23,848
Factor Arrows
21,924
Factor Arrows
2962
Factor Arrows
2481
Factor Arrows
1337

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, 13, 37

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 13 x 37 = 61,568

This can also be written as 27 x 131 x 371 = 61,568

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


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