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Formula

Calculate the value

Answer

Find the number of divisors

Answer

$2 \times 3 ^{ 2 } \times 7 ^{ 3 }$

$6174$

Calculate the value

$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 3 } }$

$ $ Simplify the expression $ $

$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ 343 }$

$ $ Multiply the numbers $ $

$\color{#FF6800}{ 6174 }$

$24$

Find the number of divisors

$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 3 } }$

$ $ Do prime factorization $ $

$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 3 } }$

$ $ Find the number of divisors using an exponent $ $

$\color{#FF6800}{ 24 }$

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