Answer: 1. NO
              2. 1
              3. 4,9,25 and 49

Step-by-step explanation:

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(1) Is there any counting number having no factor at all?

(ii) Find all the numbers having exactly one factor.

(iii) Find numbers between 1 and 100 having exactly three factors.

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(1) No, there is no counting number that has no factors at all. Every counting number has at least two factors, 1 and itself.

(ii) Numbers that have exactly one factor are prime numbers. Prime numbers are divisible only by 1 and themselves. Examples of prime numbers include 2, 3, 5, 7, 11, and so on.

(iii) The numbers between 1 and 100 that have exactly three factors are perfect squares. Perfect squares have the property that when you factorize them, you get a repeated prime factor. Examples of perfect squares between 1 and 100 are 4, 9, 16, 25, 36, 49, 64, 81, and 100.

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