Find the number of divisors of 1800, which are all divided by 5 ?
Select one:
O a. 30
Ob. 36
C. 42
.
O d. 24
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Answer:
vah bhi 36 is a right answer of the device 100 divided by 5 is a right answer
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(D) 24
To Find: number of divisors of 1800 which are all divided by 5
step 1 : Find factors of 1800
1800 = 2³ × 3² × 5²
Step 2: Take 5 common from the factors
= 5( 2³ × 3² × 5)
The number of proper divisors of 1800 which are also divisible by 5 are given by the numbers which is inside the parenthesis.
Step 3: ∴ number of factors divisible by 5
divisors = = (3+1)(2+1)(1+1)
divisors = 4 × 3 × 2
divisors = 24
Hence, the number of divisors of 1800 which are divisible by 5 are 24.
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