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Formula
Multiply two numbers
Find the number of divisors
List all divisors
Do prime factorization
$25 \times 15 =$
$375$
Multiply two numbers
$\color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 15 }$
 Multiply $25$ and $15$
$\color{#FF6800}{ 375 }$
$8$
Find the number of divisors
$\color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 15 }$
 Do prime factorization 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$5 ^ { 2 } \times \color{#FF6800}{ 5 } \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$5 ^ { 2 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \times 3$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \times 3$
 Add the exponent as the base is the same 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$5 ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
 Add $2$ and $1$
$5 ^ { \color{#FF6800}{ 3 } } \times 3$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
 Find the number of divisors using an exponent 
$\color{#FF6800}{ 8 }$
$1 , 3 , 5 , 15 , 25 , 75 , 125 , 375$
Find all divisors
$\color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 15 }$
 Do prime factorization 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$5 ^ { 2 } \times \color{#FF6800}{ 5 } \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$5 ^ { 2 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \times 3$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \times 3$
 Add the exponent as the base is the same 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$5 ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
 Add $2$ and $1$
$5 ^ { \color{#FF6800}{ 3 } } \times 3$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
 List divisors of factors 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \\ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \\ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
 Find all divisors by combining factors which is possible for the reduction of fraction 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
 Calculate the product of all divisors 
$\color{#FF6800}{ 1 } , \color{#FF6800}{ 3 } , \color{#FF6800}{ 5 } , \color{#FF6800}{ 15 } , \color{#FF6800}{ 25 } , \color{#FF6800}{ 75 } , \color{#FF6800}{ 125 } , \color{#FF6800}{ 375 }$
$5 ^ { 3 } \times 3$
Organize using the law of exponent
$\color{#FF6800}{ 25 } \times 15$
 Represents an integer as a product of decimal numbers 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \times 15$
$5 ^ { 2 } \times \color{#FF6800}{ 15 }$
 Represents an integer as a product of decimal numbers 
$5 ^ { 2 } \times \color{#FF6800}{ 3 } \times \color{#FF6800}{ 5 }$
$5 ^ { 2 } \times \color{#FF6800}{ 5 } \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$5 ^ { 2 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \times 3$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } \times 3$
 Add the exponent as the base is the same 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
$5 ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 3$
 Add $2$ and $1$
$5 ^ { \color{#FF6800}{ 3 } } \times 3$
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