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Multiply two numbers
Answer
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Find the number of divisors
Answer
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Do prime factorization
Answer
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$1020$
Multiply two numbers
$\color{#FF6800}{ 34 } \color{#FF6800}{ \times } \color{#FF6800}{ 30 }$
$ $ Multiply $ 34 $ and $ 30$
$\color{#FF6800}{ 1020 }$
$24$
Find the number of divisors
$\color{#FF6800}{ 34 } \color{#FF6800}{ \times } \color{#FF6800}{ 30 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 17 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ 2 } \times 2 \times 17 \times 3 \times 5$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 2 \times 17 \times 3 \times 5$
$2 ^ { 1 } \times \color{#FF6800}{ 2 } \times 17 \times 3 \times 5$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 1 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$2 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$ $ Add $ 1 $ and $ 1$
$2 ^ { \color{#FF6800}{ 2 } } \times 17 \times 3 \times 5$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 17 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$ $ Find the number of divisors using an exponent $ $
$\color{#FF6800}{ 24 }$
$2 ^ { 2 } \times 17 \times 3 \times 5$
Organize using the law of exponent
$\color{#FF6800}{ 34 } \times 30$
$ $ Represents an integer as a product of decimal numbers $ $
$\color{#FF6800}{ 2 } \times \color{#FF6800}{ 17 } \times 30$
$2 \times 17 \times \color{#FF6800}{ 30 }$
$ $ Represents an integer as a product of decimal numbers $ $
$2 \times 17 \times \color{#FF6800}{ 2 } \times \color{#FF6800}{ 3 } \times \color{#FF6800}{ 5 }$
$\color{#FF6800}{ 2 } \times 2 \times 17 \times 3 \times 5$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 2 \times 17 \times 3 \times 5$
$2 ^ { 1 } \times \color{#FF6800}{ 2 } \times 17 \times 3 \times 5$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 1 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$2 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 17 \times 3 \times 5$
$ $ Add $ 1 $ and $ 1$
$2 ^ { \color{#FF6800}{ 2 } } \times 17 \times 3 \times 5$
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