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Formula
List all divisors
Answer
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$$16 \times 16$$
$1 , 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256$
Find all divisors
$\color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 16 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$2 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$ $ Add $ 4 $ and $ 4$
$2 ^ { \color{#FF6800}{ 8 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } }$
$ $ List divisors of factors $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 7 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 7 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } }$
$ $ Calculate the product of all divisors $ $
$\color{#FF6800}{ 1 } , \color{#FF6800}{ 2 } , \color{#FF6800}{ 4 } , \color{#FF6800}{ 8 } , \color{#FF6800}{ 16 } , \color{#FF6800}{ 32 } , \color{#FF6800}{ 64 } , \color{#FF6800}{ 128 } , \color{#FF6800}{ 256 }$
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