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Formula
Find the number of divisors
Do prime factorization
$9 \times 10 ^{ 9 }$
$300$
Find the number of divisors
$\color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 9 } }$
 Do prime factorization 
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 9 } }$
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 9 } }$
 Find the number of divisors using an exponent 
$\color{#FF6800}{ 300 }$
$3 ^ { 2 } \times 2 ^ { 9 } \times 5 ^ { 9 }$
Organize using the law of exponent
$9 \times \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 9 } }$
 Do a factorization in prime factors until you can no longer factorize 
$9 \left ( 2 \times 5 \right ) ^ { 9 }$
$\color{#FF6800}{ 9 } \left ( 2 \times 5 \right ) ^ { 9 }$
 Represents an integer as a product of decimal numbers 
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \left ( 2 \times 5 \right ) ^ { 9 }$
$3 ^ { 2 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 9 } }$
 If the base consists of products of two or more numbers, change to the product of each power 
$3 ^ { 2 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 9 } }$
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