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Last updated on May 26th, 2025

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Is 210 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 210 is a prime number or not.

Is 210 a Prime Number? for Indian Students
Professor Greenline from BrightChamps

Is 210 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 210 has more than two factors, it is not a prime number.

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Why is 210 Not a Prime Number?

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 210 has more than two factors, it is not a prime number. A 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

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 210 is prime or composite. Step 1: All numbers are divisible by 1 and itself. Step 2: Divide 210 by 2. It is divisible by 2, so 2 is a factor of 210. Step 3: Divide 210 by 3. It is divisible by 3, so 3 is a factor of 210. Step 4: You can simplify checking divisors up to 210 by finding the root value. We then need to only check divisors up to the root value. Step 5: When we divide 210 by 2, 3, 5, 6, 7, 10, etc., it is divisible by these numbers. Since 210 has more than 2 divisors, it is a composite number.

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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 0. Zero is an even number, which means that 210 is divisible by 2. Divisibility by 3: The sum of the digits in the number 210 is 3 (2 + 1 + 0). Since 3 is divisible by 3, 210 is also divisible by 3. Divisibility by 5: The unit’s place digit is 0. Therefore, 210 is divisible by 5. Divisibility by 7: Double the last digit (0 × 2 = 0) and subtract it from the rest of the number (21 - 0 = 21). Since 21 is divisible by 7, 210 is also divisible by 7. Divisibility by 11: In 210, the alternating sum of the digits is 1 (2 - 1 + 0), which is not divisible by 11. Therefore, 210 is not divisible by 11. Since 210 is divisible by 2, 3, 5, and 7, 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 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. 210 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 210 as 2 × 105. Step 2: In 2 × 105, 105 is a composite number. Further, break the 105 into 3 × 35. Step 3: In 3 × 35, 35 is a composite number. Further, break the 35 into 5 × 7. Step 4: Now we get the product consisting of only prime numbers. Hence, the prime factorization of 210 is 2 × 3 × 5 × 7.

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Common Mistakes to Avoid When Determining if 210 is Not 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, 21 is an odd number, but it has more than two factors, which makes it a composite number.

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FAQ on Is 210 a Prime Number?

1.Is 210 a perfect square?

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2.What is the sum of the divisors of 210?

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3.What are the factors of 210?

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4.What are the closest prime numbers to 210?

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5.What is the prime factorization of 210?

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6.How can children in India use numbers in everyday life to understand Is 210 a Prime Number??

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7.What are some fun ways kids in India can practice Is 210 a Prime Number? with numbers?

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8.What role do numbers and Is 210 a Prime Number? play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Is 210 a Prime Number? skills?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 210 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. Prime factors: The prime numbers that multiply together to form a composite number. For example, the prime factors of 30 are 2, 3, and 5. Divisibility rules: A set of rules that help determine whether one number is divisible by another without performing division. Co-prime numbers: Two numbers that have only 1 as their common divisor. For example, 8 and 15 are co-prime. Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4 squared.

Professor Greenline from BrightChamps

About BrightChamps in India

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 India grasp important math skills, like today’s focus on the Is 210 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 train passes by, keeping track of scores during a Cricket match, or managing their pocket money 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 India learn in many different ways, we tailor our approach to fit each child’s unique style. From the busy markets of Mumbai to the vibrant streets of Delhi, BrightChamps brings math to life, making it relatable and exciting throughout India. 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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