Question

i) 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.

Answer 1

Answer:

(i) No, there are no counting numbers with no factors at all because every number has at least two factors, i.e., 1 and itself. (ii) There is only one number that has exactly one factor, i.e, 1.

Step-by-step explanation:

(ii) 1 is neither a prime nor a composite number. 1 is the only number which has only single factor, that is, 1 itself.

(iii) The numbers 4, 9, 25, 49 only has 3 factors exactly below 100. Explanation: All the prime numbers between 1 and 100 like 3, 5, 11…have exactly two factors, those are 1 and itself i.e.., only two factors.

Answer 2

Answer:

i) No, there are no counting numbers with no factors at all because every number has at least two factors, i.e., 1 and itself. (ii) There is only one number that has exactly one factor, i.e, 1.

Answer. 1 is neither a prime nor a composite number. 1 is the only number which has only single factor, that is, 1 itsel

Therefore, the numbers between 1 and 100 with exactly 3 factors are 4, 9, 25, 49.