Is 379 a Prime Number?

There are two types of numbers, mostly — Prime numbers and composite numbers, depending on the number of factors.

A prime number is a natural number that is divisible only by 1 and itself. For example, 3 is a prime number because it is divisible by 1 and itself.

A composite number is a positive number that is divisible by more than two numbers. For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.

Prime numbers follow a few properties like: Prime numbers are positive numbers always greater than 1.

2 is the only even prime number.

They have only two factors: 1 and the number itself.

Any two distinct prime numbers are co-prime numbers because they have only one common factor, which is 1.

As 379 has only two factors, it is a prime number.

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 379 has exactly two factors, it is a prime number. Few methods are used to distinguish between prime and composite numbers. A few methods are:

• Counting Divisors

• Method Divisibility

• Test Prime

• Number Chart

• Prime Factorization

The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method.

Based on the count of the divisors, we categorize prime and composite numbers. If there is a total count of only 2 divisors, then the number would be prime.

If the count is more than 2, then the number is composite.

Let’s check whether 379 is prime or composite.

Step 1: All numbers are divisible by 1 and itself.

Step 2: Check divisibility by other numbers up to the square root of 379, approximately 19.5.

Step 3: 379 is not divisible by 2, 3, 5, 7, 11, 13, 17, and 19.

Since 379 is not divisible by any other number besides 1 and itself, it is a prime number.

We use a set of rules to check whether a number is divisible by another number completely or not.

It is called the Divisibility Test Method.

Divisibility by 2: 379 is odd, so it is not divisible by 2.

Divisibility by 3: The sum of the digits in 379 is 19. Since 19 is not divisible by 3, 379 is also not divisible by 3.

Divisibility by 5: The unit’s place digit is 9. Therefore, 379 is not divisible by 5.

Divisibility by 7, 11, 13, 17, 19 : 379 is not divisible by these numbers either, based on divisibility rules or direct division.

Since 379 is not divisible by any number other than 1 and itself, it is a prime number.

The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow the following steps.

Step 1: Write numbers in a sequential list.

Step 2: Leave 1 without coloring or crossing, as it is neither prime nor composite.

Step 3: Mark 2 because it is a prime number and cross out all the multiples of 2.

Step 4: Mark 3 because it is a prime number and cross out all the multiples of 3.

Step 5: Repeat this process for the next prime numbers.

Through this process, we will have a list of prime numbers. 379 is present in the list of prime numbers, confirming it is a prime number.

Prime factorization is a process of breaking down a number into prime factors. If a number cannot be broken down further into prime factors, it is a prime number.

Step 1: Attempt to divide 379 by prime numbers starting from 2 up to 19.

Step 2: 379 is not divisible by any of these prime numbers. Hence, 379 cannot be factored further, confirming it is a prime number.

• Prime numbers: Natural numbers greater than 1 that have no divisors other than 1 and themselves.

• Composite numbers: Natural numbers greater than 1 that have more than two divisors.

• Divisibility rules: Rules that help determine whether one number is divisible by another without performing division.

• Factors: The numbers that divide the number exactly without leaving a remainder.

• Sieve of Eratosthenes: An ancient algorithm used to find all prime numbers up to a specified integer.