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Multiply two numbers
Answer
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Find the number of divisors
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List all divisors
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Do prime factorization
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$8 \times 6$
$48$
Multiply two numbers
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 6 }$
$ $ Multiply $ 8 $ and $ 6$
$\color{#FF6800}{ 48 }$
$10$
Find the number of divisors
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 6 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
$2 ^ { 3 } \times \color{#FF6800}{ 2 } \times 3$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 3 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 3$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 3$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$2 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$ $ Add $ 3 $ and $ 1$
$2 ^ { \color{#FF6800}{ 4 } } \times 3$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
$ $ Find the number of divisors using an exponent $ $
$\color{#FF6800}{ 10 }$
$1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48$
Find all divisors
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 6 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
$2 ^ { 3 } \times \color{#FF6800}{ 2 } \times 3$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 3 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 3$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 3$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$2 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$ $ Add $ 3 $ and $ 1$
$2 ^ { \color{#FF6800}{ 4 } } \times 3$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
$ $ List divisors of factors $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \\ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \\ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$ $ Find all divisors by combining factors which is possible for the reduction of fraction $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$ $ Calculate the product of all divisors $ $
$\color{#FF6800}{ 1 } , \color{#FF6800}{ 2 } , \color{#FF6800}{ 3 } , \color{#FF6800}{ 4 } , \color{#FF6800}{ 6 } , \color{#FF6800}{ 8 } , \color{#FF6800}{ 12 } , \color{#FF6800}{ 16 } , \color{#FF6800}{ 24 } , \color{#FF6800}{ 48 }$
$2 ^ { 4 } \times 3$
Organize using the law of exponent
$\color{#FF6800}{ 8 } \times 6$
$ $ Represents an integer as a product of decimal numbers $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times 6$
$2 ^ { 3 } \times \color{#FF6800}{ 6 }$
$ $ Represents an integer as a product of decimal numbers $ $
$2 ^ { 3 } \times \color{#FF6800}{ 2 } \times \color{#FF6800}{ 3 }$
$2 ^ { 3 } \times \color{#FF6800}{ 2 } \times 3$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 3 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 3$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 3$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$2 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$ $ Add $ 3 $ and $ 1$
$2 ^ { \color{#FF6800}{ 4 } } \times 3$
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