Is 119 a Prime Number?

119 is not a prime number as it has more than two factors, which divides 119 without leaving any remainder. The factors of 119 are 1, 7, 17 and 119.

There are various methods to examine if a number is a prime number or a composite number.

Types of methods to find if a number is prime or composite.

• Counting divisors method

• Divisibility method

• Prime number chart method

• Prime factorization method

In the counting method, the divisors of the number are counted. 119 has 4 divisors, thus 119 cannot be a prime number as it does not satisfy the two-factor rule.

• The divisors of 119 = 1, 7, 17 and 119.

Therefore, 119 is not a prime number. 

The divisibility method states that if a number is divisible by numbers more than two, then the number is not a prime number. The number 119 is divisible by 1, 7, 17, and 119, which makes it a composite number.

The chart of prime numbers is referred to in this method. The number 119 is checked whether it appears in the chart of prime numbers from 1 to 100.

The prime numbers 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.

By referring to the list, it is understood that 119 does not appear in the list. Therefore, 119 is not a prime number.
 

The method of writing the number as a product of primes is the prime factorization method.

• The prime factorization of 119 is,

119 = 71  × 171

Therefore, the prime factors of 119 are 7 and 17.

• Prime Number: The number that has only two divisors, 1 and the number itself.

• Composite Number: Composite numbers are numbers that have more than two factors.

• Prime Factorization: Prime factorization is a method of writing all numbers as a product of prime.