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Original
2026-01-01
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2026-02-28
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<p>212 Learners</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The numbers that have only two factors, which are 1 and itself, are called prime numbers. For encryption, computer algorithms, barcode generation, prime numbers are used. In this topic, we will be discussing whether 168 is a prime number or not.</p>
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<h2>Is 168 a Prime Number?</h2>
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<p>There are two<a>types of numbers</a>, mostly -</p>
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<p>Prime numbers and<a>composite numbers</a>, depending on the number of<a>factors</a>.</p>
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<p>A<a>prime number</a>is a<a>natural number</a>that is divisible only by 1 and itself.</p>
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<p>For example, 3 is a prime number because it is divisible by 1 and itself.</p>
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<p>A composite number is a positive number that is divisible by more than two numbers.</p>
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<p>For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.</p>
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<p>Prime numbers follow a few properties like:</p>
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<ul><li>Prime numbers are positive numbers always<a>greater than</a>1. </li>
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<li>2 is the only even prime number. </li>
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<li>They have only two factors: 1 and the number itself. </li>
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<li>Any two distinct prime numbers are<a>co-prime numbers</a>because they have only one common factor, which is 1. </li>
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<li>As 168 has more than two factors, it is not a prime number.</li>
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</ul><h2>Why is 168 Not a Prime Number?</h2>
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<p>The characteristic<a>of</a>a prime number is that it has only two divisors: 1 and itself. Since 168 has more than two factors, it is not a prime number. A few methods are used to distinguish between prime and composite numbers:</p>
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<ul><li>Counting Divisors Method </li>
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<li>Divisibility Test </li>
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<li>Prime Number Chart </li>
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<li>Prime Factorization</li>
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</ul><h3>Using the Counting Divisors Method</h3>
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<p>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 168 is prime or composite.</p>
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<p><strong>Step 1:</strong>All numbers are divisible by 1 and itself.</p>
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<p><strong>Step 2:</strong>Divide 168 by 2. It is divisible by 2, so 2 is a factor of 168.</p>
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<p><strong>Step 3:</strong>Divide 168 by 3. It is divisible by 3, so 3 is a factor of 168.</p>
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<p><strong>Step 4:</strong>You can simplify checking divisors up to 168 by finding the root value. We then need to only check divisors up to the root value.</p>
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<p><strong>Step 5:</strong>When we divide 168 by 2, 3, 4, 6, 7, 8, 12, and 14, it is divisible by all these numbers.</p>
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<p>Since 168 has more than 2 divisors, it is a composite number.</p>
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<h3>Using the Divisibility Test Method</h3>
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<p>We use a<a>set</a>of rules to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method.</p>
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<p><strong>Divisibility by 2:</strong>The number in the ones'<a>place value</a>is 8. Since 8 is an<a>even number</a>, 168 is divisible by 2.</p>
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<p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits in the number 168 is 15. Since 15 is divisible by 3, 168 is also divisible by 3.</p>
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<p><strong>Divisibility by 5:</strong>The unit’s place digit is 8. Therefore, 168 is not divisible by 5.</p>
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<p><strong>Divisibility by 7:</strong>Divide 168 by 7, which equals 24. Therefore, 168 is divisible by 7.</p>
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<p><strong>Divisibility by 11:</strong>The alternating sum of the digits is 0 (1 - 6 + 8). Since 0 is divisible by 11, 168 is divisible by 11.</p>
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<p>Since 168 is divisible by more than two numbers, it is a composite number.</p>
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<h3>Using Prime Number Chart</h3>
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<p>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.</p>
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<p>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.</p>
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<p><strong>Step 1:</strong>Write 1 to 100 in 10 rows and 10 columns.</p>
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<p><strong>Step 1:</strong>Write 1 to 100 in 10 rows and 10 columns.</p>
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<p><strong>Step 2:</strong>Leave 1 without coloring or crossing, as it is neither prime nor composite.</p>
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<p><strong>Step 2:</strong>Leave 1 without coloring or crossing, as it is neither prime nor composite.</p>
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<p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all the<a>multiples</a>of 2.</p>
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<p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all the<a>multiples</a>of 2.</p>
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<p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all the multiples of 3.</p>
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<p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all the multiples of 3.</p>
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<p><strong>Step 5:</strong>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.</p>
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<p><strong>Step 5:</strong>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.</p>
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<p>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. 168 is not present in the list of prime numbers, so it is a composite number.</p>
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<p>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. 168 is not present in the list of prime numbers, so it is a composite number.</p>
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<h3>Using the Prime Factorization Method</h3>
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<p>Prime factorization is a process of breaking down a number into<a>prime factors</a>. Then multiply those factors to obtain the original number.</p>
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<p><strong>Step 1:</strong>We can write 168 as 2 × 84.</p>
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<p><strong>Step 2:</strong>In 2 × 84, 84 is a composite number. Further, break the 84 into 2 × 42.</p>
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<p><strong>Step 3:</strong>Further break 42 into 2 × 21.</p>
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<p><strong>Step 4:</strong>Break 21 into 3 × 7.</p>
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<p><strong>Step 5:</strong>Now we get the<a>product</a>consisting of only prime numbers.</p>
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<p>Hence, the prime factorization of 168 is 2 × 2 × 2 × 3 × 7.</p>
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<h2>Common Mistakes to Avoid When Determining if 168 is Not a Prime Number</h2>
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<p>Children might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made by children.</p>
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<h2>FAQ on is 168 a Prime Number?</h2>
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<h3>1.Is 168 a perfect square?</h3>
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<h3>2.What is the sum of the divisors of 168?</h3>
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<p>The sum of the divisors of 168 is 360.</p>
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<h3>3.What are the factors of 168?</h3>
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<p>168 is divisible by 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168, making these numbers the factors.</p>
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<h3>4.What are the closest prime numbers to 168?</h3>
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<p>167 and 173 are the closest prime numbers to 168.</p>
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<h3>5.What is the prime factorization of 168?</h3>
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<p>The prime factorization of 168 is 2 × 2 × 2 × 3 × 7.</p>
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<h2>Important Glossaries for "Is 168 a Prime Number"</h2>
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<ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 168 is a composite number because it is divisible by 1, 2, 3, 4, 6, and more. </li>
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<li><strong>Prime numbers:</strong>Numbers greater than 1 with no divisors other than 1 and itself, like 2, 3, 5, etc. </li>
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<li><strong>Divisibility:</strong>The ability of one number to be divided by another without a remainder. </li>
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<li><strong>Factorization:</strong>The process of breaking down a number into its factors. </li>
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<li><strong>Prime factorization:</strong>Expressing a number as a product of its prime factors, like 168 = 2 × 2 × 2 × 3 × 7.</li>
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</ul><p>What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<p>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.</p>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>