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Formula

Multiply two numbers

Answer

Find the number of divisors

Answer

List all divisors

Answer

Do prime factorization

Answer

$21 \times 7$

$147$

Multiply two numbers

$\color{#FF6800}{ 21 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$

$ $ Multiply $ 21 $ and $ 7$

$\color{#FF6800}{ 147 }$

$6$

Find the number of divisors

$\color{#FF6800}{ 21 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$

$ $ Do prime factorization $ $

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

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

$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } \times 7$

$3 \times 7 ^ { 1 } \times \color{#FF6800}{ 7 }$

$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $

$3 \times 7 ^ { 1 } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } }$

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } }$

$ $ Add the exponent as the base is the same $ $

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$

$3 \times 7 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$

$ $ Add $ 1 $ and $ 1$

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

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

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

$\color{#FF6800}{ 6 }$

$1 , 3 , 7 , 21 , 49 , 147$

Find all divisors

$\color{#FF6800}{ 21 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 }$

$ $ Do prime factorization $ $

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

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

$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } \times 7$

$3 \times 7 ^ { 1 } \times \color{#FF6800}{ 7 }$

$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $

$3 \times 7 ^ { 1 } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } }$

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } }$

$ $ Add the exponent as the base is the same $ $

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$

$3 \times 7 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$

$ $ Add $ 1 $ and $ 1$

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

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

$ $ List divisors of factors $ $

$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \\ \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } }$

$ $ Find all divisors by combining factors which is possible for the reduction of fraction $ $

$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 0 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } }$

$ $ Calculate the product of all divisors $ $

$\color{#FF6800}{ 1 } , \color{#FF6800}{ 3 } , \color{#FF6800}{ 7 } , \color{#FF6800}{ 21 } , \color{#FF6800}{ 49 } , \color{#FF6800}{ 147 }$

$3 \times 7 ^ { 2 }$

Organize using the law of exponent

$\color{#FF6800}{ 21 } \times 7$

$ $ Represents an integer as a product of decimal numbers $ $

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

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

$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } \times 7$

$3 \times 7 ^ { 1 } \times \color{#FF6800}{ 7 }$

$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $

$3 \times 7 ^ { 1 } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } }$

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } }$

$ $ Add the exponent as the base is the same $ $

$3 \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$

$3 \times 7 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$

$ $ Add $ 1 $ and $ 1$

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

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