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Formula
Calculate the value
Answer
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Find the number of divisors
Answer
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$2 ^{ 3 } \times 3 ^{ 2 } \times 5 ^{ 2 } \times 7$
$12600$
Calculate the value
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
$ $ Multiply the numbers $ $
$\color{#FF6800}{ 12600 }$
$72$
Find the number of divisors
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
$ $ Find the number of divisors using an exponent $ $
$\color{#FF6800}{ 72 }$
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