Answer:
Every integer greater than 1 is either prime or composite.
Step-by-step explanation:
Let us negate this statement.
Assumption - any number greater than 1, is neither prime nor composite.
A prime number has only 2 divisors, and a composite number has at least 3.
Let a number be X such that X >1.
Now X is divisible by 1 (Any integer is divisible by 1)
And X is divisible by X (X/X = 1, if X is not zero)
So by this, we see X has at least 2 divisors, X is either prime, or composite if it has more divisors!
So our assumption is wrong, and every integer greater than 1 is either prime or composite.
