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Last updated on May 26th, 2025

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Is 349 a Prime Number?

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The numbers that have only two factors, which are 1 and itself, are called prime numbers. For encryption, computer algorithms, and barcode generation, prime numbers are used. In this topic, we will be discussing whether 349 is a prime number or not.

Is 349 a Prime Number? for Bahraini Students
Professor Greenline from BrightChamps

Is 349 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.
  • Since 349 has only two factors, it is a prime number.
Professor Greenline from BrightChamps

Why is 349 a Prime Number?

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 349 has exactly two factors, it is a prime number. A few methods are used to distinguish between prime and composite numbers. Some methods are:

 

  1. Counting Divisors Method
  2. Divisibility Test
  3. Prime Number Chart
  4. Prime Factorization
Professor Greenline from BrightChamps

Using the Counting Divisors Method

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 349 is prime or composite.

 

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

 

Step 2: We test divisibility starting from 2 up to the square root of 349.

 

Step 3: 349 is not divisible by any integer other than 1 and 349 itself. Since 349 has exactly 2 divisors, it is a prime number.

Professor Greenline from BrightChamps

Using the Divisibility Test Method

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: 349 is not even, so it is not divisible by 2.

 

Divisibility by 3: The sum of the digits in the number 349 is 16. Since 16 is not divisible by 3, 349 is not divisible by 3.

 

Divisibility by 5: The unit’s place digit is not 0 or 5. Therefore, 349 is not divisible by 5.

 

Divisibility by 7, 11, 13, etc.: Testing divisibility reveals that 349 is not divisible by any of these primes. Since 349 is not divisible by any number other than 1 and itself, it is a prime number.

Professor Greenline from BrightChamps

Using Prime Number Chart

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

 

Step 1: Write numbers in a range, for example, 1 to 400.

 

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 until you reach the table consisting of marked and crossed boxes, except 1. Through this process, we will have a list of prime numbers from 1 to 400.

 

Since 349 is present in the list of prime numbers, it is a prime number.

Professor Greenline from BrightChamps

Using the Prime Factorization Method

Prime factorization is a process of breaking down a number into prime factors. Then multiply those factors to obtain the original number. Since 349 is a prime number, it cannot be broken down into other prime factors.

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Determining if 349 is a Prime Number

Children might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made by children.

Mistake 1

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Assuming That All Odd Numbers Are Prime

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Solution: Children have an assumption that all odd numbers are prime numbers. They should be taught that except for 2, most prime numbers are odd but not all odd numbers are prime. For example, 15 is an odd number but it has more than two factors, which makes it a composite number.

Ray Thinking Deeply About Math Problems

FAQ on is 349 a Prime Number?

1.Is 349 a perfect square?

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2.What is the sum of the divisors of 349?

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3.What are the factors of 349?

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4.What are the closest prime numbers to 349?

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5.What is the prime factorization of 349?

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6.How can children in Bahrain use numbers in everyday life to understand Is 349 a Prime Number??

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7.What are some fun ways kids in Bahrain can practice Is 349 a Prime Number? with numbers?

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8.What role do numbers and Is 349 a Prime Number? play in helping children in Bahrain develop problem-solving skills?

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9.How can families in Bahrain create number-rich environments to improve Is 349 a Prime Number? skills?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 349 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: Guidelines used to determine whether one number is divisible by another.

 

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

 

  • Factorization: The process of breaking down a number into its prime factors.
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, we know numbers are more than just digits—it’s a way to open doors to countless opportunities! Our mission is to help kids all across Bahrain grasp important math skills, like today’s focus on the Is 349 a Prime Number?with a special focus on understanding prime numbers—in a way that’s lively, enjoyable, and easy to follow. Whether your child is figuring out how fast a roller coaster speeds through Bahrain’s Wahooo! Waterpark, keeping track of scores at a local football match, or managing their allowance to buy the latest gadgets, mastering numbers gives them the confidence they need for everyday challenges. Our interactive lessons make learning both simple and fun. Because kids in Bahrain learn in many different ways, we tailor our approach to fit each child’s unique style. From the lively city of Manama to the peaceful beaches, BrightChamps brings math to life, making it relatable and exciting throughout Bahrain. Let’s make prime numbers a fun part of every child’s math journey!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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