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Formula
Find the number of divisors
$$25 \times 7$$
$6$
$\color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
 Do prime factorization 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$
 Find the number of divisors using an exponent 
$\color{#FF6800}{ 6 }$