A composite number has at least three factors [Proof]

A composite number has at least one prime factor; hence it has at least three factors. If n is a composite number then n is always divisible at least by three distinct numbers. A composite number is divisible at least by one prime Question: Prove that a composite number has at least one prime divisor. … Read more

If 2^n-1 is prime, n is prime [Proof]

If 2n-1 is a prime number, then n is also a prime number. Note that if 2n-1 is prime then it is called a Mersenne prime. If 2n-1 is prime, then prove that n is prime Question: Prove that if 2n-1 is prime, then n is prime. Solution: The given statement will be proved by … Read more

Is 2 a Prime Number or a Composite Number?

Is 2 is a prime number? Yes, 2 is a prime number. It is known that whole numbers can be classified into prime numbers or composite numbers based on the number of factors. In this article, we will discuss whether 2 is a prime number or a composite number. Is 2 a Prime Number? A prime … Read more

Is 11 a prime number or a composite number?

We can classify whole numbers as prime numbers or composite numbers based on the numbers of their factors. In this article, we will learn whether 11 is a prime number or a composite number. Is 11 a Prime Number? By definition, a prime number has factors 1 and the number itself. So the prime numbers … Read more