Why is 97 a prime number

For a number to be classified as a prime number, it should have exactly two factors. Since 97 has exactly two factors, i. To understand whether 97 is composite or prime, it is important to find its factors. No, since 97 has only two factors, i. Is 97 a Prime Number? How is 97 a Prime Number? Factors of 1, 97 Therefore, we can say that 97 is a prime number since it has only 2 factors. Problem Statements: Is 97 a Prime Number? Yes Is 97 a Composite Number? No Is 97 a Perfect Cube?

No Cube Root of 97 4. No Multiples of 97 97, , , , , , , , , Is 97 an Even Number? No Is 97 an Odd Number? The smallest multiples of 97 are:. To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality here First, we can eliminate all even numbers greater than 2 and hence 4 , 6 , 8 …. Then, we can stop this check when we reach the square root of the number of which we want to determine the primality here the square root is about 9.

Historically, the sieve of Eratosthenes dating from the Greek mathematics implements this technique in a relatively efficient manner. More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test. Is this number a prime number? As a consequence, 97 is only a multiple of 1 and Find out more: What is a prime number? Home What is a prime number?