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Last updated on April 4th, 2025

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Is 332 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 332 is a prime number or not.

Is 332 a Prime Number? for US Students
Professor Greenline from BrightChamps

Is 332 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 332 has more than two factors, it is not a prime number.
Professor Greenline from BrightChamps

Why is 332 Not a Prime Number?

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 332 has more than two factors, it is not a prime number. A few methods are used to distinguish between prime and composite numbers, such as:

 

  1. Counting Divisors Method
  2. Divisibility Test Prime
  3. Number Chart Prime
  4. 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 332 is prime or composite.

 

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

 

Step 2: Divide 332 by 2. It is divisible by 2, so 2 is a factor of 332.

 

Step 3: Divide 332 by 3. It is not divisible by 3, so 3 is not a factor of 332.

 

Step 4: You can simplify checking divisors up to 332 by finding the root value. We then need to only check divisors up to the root value.

 

Step 5: When we divide 332 by 2, 4, and 83, it is divisible by 2 and 83.

 

Since 332 has more than 2 divisors, it is a composite 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: The number in the ones' place value is 2, which is an even number, meaning that 332 is divisible by 2.

 

Divisibility by 3: The sum of the digits in the number 332 is 8. Since 8 is not divisible by 3, 332 is also not divisible by 3.

 

Divisibility by 5: The unit’s place digit is 2. Therefore, 332 is not divisible by 5.

 

Divisibility by 7: The last digit in 332 is 2. To check divisibility by 7, double the last digit (2 × 2 = 4). Then, subtract it from the rest of the number (33 - 4 = 29). Since 29 is not divisible by 7, 332 is also not divisible by 7.

 

Divisibility by 11: In 332, the sum of the digits in odd positions is 5, and the sum of the digits in even positions is 3. This would mean that 332 is not divisible by 11.

 

Since 332 is divisible only by 2 and 83, it has more than two factors. Therefore, it is a composite 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 the following steps.

 

Step 1: Write 1 to 100 in 10 rows and 10 columns.

 

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 100.

 

The list is 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. 332 is not present in the list of prime numbers, so it is a composite 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.

 

Step 1: We can write 332 as 2 × 166.

 

Step 2: In 2 × 166, 166 is a composite number. Further, break the 166 into 2 × 83.

 

Step 3: Now we get the product consisting of only prime numbers.

 

Hence, the prime factorization of 332 is 2 × 2 × 83.

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Determining if 332 is Not a Prime Number

Ray Thinking Deeply About Math Problems

FAQ on Is 332 a Prime Number?

1.Is 332 a perfect square?

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2.What is the sum of the divisors of 332?

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3.What are the factors of 332?

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4.What are the closest prime numbers to 332?

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5.What is the prime factorization of 332?

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6.How can children in United States use numbers in everyday life to understand Is 332 a Prime Number??

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7.What are some fun ways kids in United States can practice Is 332 a Prime Number? with numbers?

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8.What role do numbers and Is 332 a Prime Number? play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Is 332 a Prime Number? skills?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 332 a Prime Number"

  • Composite numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 12 is a composite number because 12 is divisible by 1, 2, 3, 4, 6, and 12.

 

  • Divisibility rules: Guidelines that help determine if one number is divisible by another without performing full division. For example, a number is divisible by 2 if it ends in an even digit.

 

  • Factors: The numbers that divide the number exactly without leaving a remainder are called factors. For example, the factors of 4 are 1, 2, and 4 because they divide 4 completely.

 

  • Prime numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. For example, 7 is a prime number because it can only be divided by 1 and 7.

 

  • Co-prime numbers: Two numbers are co-prime if their greatest common divisor (GCD) is 1. For example, 8 and 15 are co-prime because their only common factor is 1.
Professor Greenline from BrightChamps

About BrightChamps in United States

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 the United States grasp important math skills, like today’s focus on the Is 332 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 Disney World, keeping track of scores at a Little League baseball game, 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 the USA learn in many different ways, we tailor our approach to fit each child’s unique style. From the bustling streets of New York City to the sunny shores of California, BrightChamps brings math to life, making it relatable and exciting throughout America. 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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