CAT QUANT NUMBER SYSTEM 6

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Question 1:

How many factors of $2^{5} \times 3^{6} \times 5^{2}$ are perfect squares?

Question 2:

The number of ways in which $12 !$ can be factorized into the product of 2 positive integers:

Question 3:

The number of ways in which 5! can be factorized into the product of 2 coprime positive integers:

Question 4:

The sum of the factors of a number is 124 . What is the number?

Question 5:

How many factors 72 has including 1 and itself?

Question 6:

What is the sum of all the factors of 96 including 1 and itself?

Question 7:

How many factors of 1080 are perfect squares?

Question 8:

What is the product of all divisors of $36$ ?

Question 9:

How many factors of the number $2^{8}\times 3^{6} \times 5^{4} \times 10^{5}$ are multiples of $120$ ?

Question 10:

How many factors of $2^{4} \times 5^{3} \times 7^{4}$ are odd numbers?