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Q.

Find the number of proper divisors 1800 of which are also divisible by 10.


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a

18

b

34

c

27

d

None of these 

answer is D.

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Detailed Solution

Concept: The process of factoring a number in terms of prime numbers, in which the factors are prime numbers, has been known as prime factorization.
By prime factorisation,
Question ImageQuestion ImageQuestion ImageThe number of proper divisors of Question Image which are also divisible by 10 are given by the factors of the numbers which is inside the parenthesis
Question Image Number of factors divisible by Question ImageBut among these, 1800 can’t be a proper divisor as it is the number itself.
Total number of proper divisors of 1800 which are divisible by 10 and 17.
​Hence, the correct answer is option 4) None of these.
 
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