Is 63 a prime number?

Factors of 63 are — 1,3,7,9,21 and 63 meaning it is not a prime number as all prime numbers have only two factors and the number itself. From the mentioned, we can clearly tell that 63 is not a prime number. 

Listed below are methods to find if a number is prime or not. 

In this method, we write down the divisors of the numbers and check if it satisfies the condition for prime numbers. 

• Divisors of 63 = 1,3,7,9,21,63 

→ 63 is not a prime number. 
 

If the number 63 is divisible by any number but 1 and 63 it is composite. The number 63 is divisible by numbers 3,7,9,21 clearly making it a composite number.
 

The prime numbers up to 100 are; 

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,

53,59,61,67,71,73,79,83,89,97. 

63 is not on the list, it is a composite number. 
 

Prime factorization of 63

63 = 3×3×7 = 3²×7 

63 is being easily factored into smaller factors, clearly making it a composite number. 
 

• 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 numbers 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.