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Formula
Find the number of divisors
Answer
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Do prime factorization
Answer
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$9 \times 10 ^{ 9 }$
$300$
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 $ $
$3 ^ { 2 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 9 } }$
Solution search results
search-thumbnail-6 times $16=6$ times $10+6$ times 
$\vec{p} $ times $14=70+7$ times 
3times $12=30+$ 
$5$ 5 times $15=50+$ 
0 $8$ 8 times $18=80+$
10th-13th grade
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