In physics and engineering the quality factor or Q factor is a dimensionless parameter that describes how under-damped an oscillator or resonator is, and characterizes a resonator's bandwidth relative to its center frequency.
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q3-q2+2q-2 = (q-1)(q2+2) = (q-1)(q+2.5i)(q-2.5i)
12q 2,6q 2,2,3q 2,2,3,q
2(q^2 - 5) or 2(q - the square root of 5)(q + the square root of 5)
Consider a number k. Let m be the square root of k : since k is not a square number, m is not an integer and so m cannot be a factor of k.Suppose p is a factor of k and suppose p< m.Then k has another factor q such that k = p*q and since p < m, then q> m.Thus, for every factor smaller than the square root, there is another factor that is larger than the square root. That is, the factors come is distinct pairs and so there is an even number of factors.
This is because 36 is a composite number.A prime number, p, has only the factorisation 1*p and so that is the only rectangle possible. But for a composite number there is at least one other factor q which may have a factor pair q' such that q*q' = p. q and q' could be the same if the number p was the square of q.So then you have rectangles of size 1*p and q*q'.