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Formula
Find the number of divisors
Answer  Do prime factorization
Answer $10 ^{ 22 }$
$529$
Find the number of divisors
$\color{#FF6800}{ 10 } ^ { 22 }$
 Represents an integer as a product of decimal numbers 
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \right ) ^ { 22 }$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 22 } }$
 If the base consists of products of two or more numbers, change to the product of each power 
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 22 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 22 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 22 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 22 } }$
 Find the number of divisors using an exponent 
$\color{#FF6800}{ 529 }$
$2 ^ { 22 } \times 5 ^ { 22 }$
Organize using the law of exponent
$\color{#FF6800}{ 10 } ^ { 22 }$
 Represents an integer as a product of decimal numbers 
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \right ) ^ { 22 }$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 22 } }$
 If the base consists of products of two or more numbers, change to the product of each power 
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 22 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 22 } }$
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