What is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself?

What is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself?

• A. Composite number
• B. Integer
• C. Prime number
• D. Factorial

Answer: (C)

A natural number greater than 1 that has no positive divisors other than 1 and itself is known as a prime number. Prime numbers are the building blocks of the natural numbers because every natural number greater than 1 can be expressed as a product of prime numbers, which is known as its prime factorization. This definition makes prime numbers unique and essential in number theory. Composite numbers, on the other hand, are natural numbers greater than 1 that have more than two positive divisors, meaning they can be divided evenly by numbers other than 1 and themselves. Integers encompass all whole numbers, both positive and negative, as well as zero, and do not specifically refer to the property of having exactly two positive divisors. Factorials are products of all positive integers up to a certain number and do not relate to the concept of divisibility in the same way as prime and composite numbers do. Thus, the identification of the correct term for a natural number greater than 1 with no divisors other than itself and 1 is accurately recognized as a prime number.

A natural number greater than 1 that has no positive divisors other than 1 and itself is known as a prime number. Prime numbers are the building blocks of the natural numbers because every natural number greater than 1 can be expressed as a product of prime numbers, which is known as its prime factorization. This definition makes prime numbers unique and essential in number theory.

Composite numbers, on the other hand, are natural numbers greater than 1 that have more than two positive divisors, meaning they can be divided evenly by numbers other than 1 and themselves. Integers encompass all whole numbers, both positive and negative, as well as zero, and do not specifically refer to the property of having exactly two positive divisors. Factorials are products of all positive integers up to a certain number and do not relate to the concept of divisibility in the same way as prime and composite numbers do.

Thus, the identification of the correct term for a natural number greater than 1 with no divisors other than itself and 1 is accurately recognized as a prime number.