Is 47 a prime number?

47 is a prime number and on the prime factorization of 47, we get only 1 and 47 as the factor of 47.

And, also it contains exactly two factors, which is 1 and 47, where it is known as prime number.

If a number to be prime, it has to meet the following criteria.

The number must hold only 2 divisors when divided.

The factors should be number 1 and itself only.

Listed below are some methods to find out whether a particular number is prime or composite?
 

In counting divisors method, list the divisors of the given number and check if the number, to be considered prime, satisfies the two criteria.

The counting divisors method for 47 would simply be

• Divisors of 47=1,47.

• Number of divisors=2

The number 47, hence, can be considered prime.
 

In divisibility method, the prime number only have 2 divisors which are 1 and itself. There is no specific divisibility check for the number 47 other than checking if it is divisible by 1 and 47.
 

List the prime number chart up to 50.

The prime numbers from 1 to 50 are 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 37, 41, 43, 47.

By keeping a note of the chart like above, we can easily realize if a number is prime or not.

Prime factorization is only applicable to non-prime numbers/composite numbers. Since 47 has no other factor than 1 and 47, it cannot be factored into smaller prime numbers.

• Prime Number: A number which has only two divisors, that to be 1 and the other is the number itself.

• Composite Number: In mathematics, composite number are numbers that should have more than two factors, which is 1 and itself.

• Prime Factorization: In simple terms, prime factorization is a process of writing all numbers as a product of prime factors.