Q6 DEFINITION

Let n (>1) be a composite integer such that √n is not an integer. Consider the following statements:

A:n has a perfect integer-valued divisor which is greater than 1 and less than √n

B:n has a perfect integer-valued divisor which is greater than √n but less than n

a. Both A and B are false

b. A is true but B is false

c. A is false but B is true

d. Both A and B are true

Consider a number n = 10, then SQRTn = 3.16

A: We have a divisor 2 which is greater than 1 and less than 3.16.

B: We have a divisor 5 which is greater than 3.16 but less than 10.

Both statements A and B are true.

Also, as a rule, any composite number which is not a perfect square has at least one factor less than √n and another factor more than n, such that their product is N.

Both statements are true.

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