Q: What are the prime factors of the number 15,616?

 A: 2, 61

Why are those the prime factors of the number 15,616?

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 15,616

15,616
Factor Arrows
27,808
Factor Arrows
23,904
Factor Arrows
21,952
Factor Arrows
2976
Factor Arrows
2488
Factor Arrows
2244
Factor Arrows
2122
Factor Arrows
261

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, 61

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 61 = 15,616

This can also be written as 28 x 611 = 15,616

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


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