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Last updated on May 26th, 2025

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Is 1207 a Prime Number?

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The numbers that have only two factors, which are 1 and itself, are called prime numbers. They are essential in encryption, computer algorithms, and barcode generation. In this topic, we will be discussing whether 1207 is a prime number or not.

Is 1207 a Prime Number? for Thai Students
Professor Greenline from BrightChamps

Is 1207 a Prime Number?

There are two main types of numbers — prime numbers and composite numbers, based 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, such as:

 

  • 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 1207 has more than two factors, it is not a prime number.

is 1207 a prime number

Professor Greenline from BrightChamps

Why is 1207 Not a Prime Number?

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 1207 has more than two factors, it is not a prime number. Several methods are used to distinguish between prime and composite numbers, including:

 

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

Using the Counting Divisors Method

The counting divisors method involves counting the number of divisors to determine if numbers are prime or composite. Based on the divisor count, we classify numbers as follows:

 

  • If there is a total count of only 2 divisors, then the number is prime.
  • If the count is more than 2, then the number is composite.

 

Let’s check whether 1207 is prime or composite.

 

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

 

Step 2: Divide 1207 by 2. It is not divisible by 2, so 2 is not a factor of 1207.

 

Step 3: Divide 1207 by 3. It is not divisible by 3, so 3 is not a factor of 1207.

 

Step 4: You can simplify checking divisors up to 1207 by finding the root value. We then need to check divisors only up to the root value.

 

Step 5: When we divide 1207 by 11, it is divisible. Thus, 11 is a factor of 1207.

 

Since 1207 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. This is called the Divisibility Test Method.

 

Divisibility by 2: The number in the one's place value is 7, an odd number, so 1207 is not divisible by 2.

 

Divisibility by 3: The sum of the digits in the number 1207 is 10. Since 10 is not divisible by 3, 1207 is also not divisible by 3.

 

Divisibility by 5: The unit’s place digit is 7. Therefore, 1207 is not divisible by 5. Divisibility by 7: Repeated division shows that 1207 is not divisible by 7.

 

Divisibility by 11: Alternating the sum of digits ((1 + 0) - (2 + 7) = -8), which is not divisible by 11, indicates 1207 is not divisible by 11.

 

Since 1207 is divisible by 11, it has more than two factors, making it 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 numbers from 1 to 1000 in a structured format.

 

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 multiples of 2.

 

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

 

Step 5: Repeat this process until you reach the required number range. Through this process, we have a list of prime numbers.

 

Since 1207 is not in the list of prime numbers, 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 1207 as 11 × 109.

 

Step 2: Both 11 and 109 are prime numbers.

 

Step 3: Therefore, the prime factorization of 1207 is 11 × 109.

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Determining if 1207 is Not a Prime Number

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

Mistake 1

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Assuming That All Odd Numbers Are Prime

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Solution: Students may assume that all odd numbers are prime numbers. They should learn that, except for 2, while many prime numbers are odd, not all odd numbers are prime. For example, 9 is an odd number, but it has more than two factors, which makes it a composite number.

Mistake 2

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Confusing 1 as a Prime Number

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Students should understand that a prime number has exactly two factors. Since 1 has only one factor, which is itself, it is neither a prime nor a composite number.

Mistake 3

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Depending Too Much on Memorization

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Students often rely on memorizing prime numbers, which can lead to confusion, such as not remembering whether 37 or 39 is prime. To avoid these issues, students should learn divisibility rules instead of relying solely on memorization.

Mistake 4

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Applying Divisibility Rules Incorrectly

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When students divide a number by another number, they may make calculation errors. For example, they might err while dividing 60 by 4. Teach them shortcuts, like dividing a number's digits to check divisibility by smaller numbers.

Mistake 5

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Assuming That Negative Numbers Are Prime

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Students might think that negative numbers can also be prime numbers. For example, they might apply the divisibility rule of 2 for -48 to check if it is prime. They need to understand that prime numbers are positive numbers greater than 1.

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FAQ on is 1207 a Prime Number?

1.Is 1207 a perfect square?

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2.What is the sum of the divisors of 1207?

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3.What are the factors of 1207?

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4.What are the closest prime numbers to 1207?

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5.What is the prime factorization of 1207?

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6.How can children in Thailand use numbers in everyday life to understand Is 1207 a Prime Number??

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7.What are some fun ways kids in Thailand can practice Is 1207 a Prime Number? with numbers?

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8.What role do numbers and Is 1207 a Prime Number? play in helping children in Thailand develop problem-solving skills?

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9.How can families in Thailand create number-rich environments to improve Is 1207 a Prime Number? skills?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 1207 a Prime Number"

  • Composite numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 1207 is a composite number because it is divisible by 1, 11, 109, and 1207.

 

  • Prime numbers: Natural numbers greater than 1 that have no divisors other than 1 and itself. For example, 11 is a prime number.

 

  • Divisibility rules: Guidelines that help determine if one number is divisible by another without performing complete division.

 

  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1207 is 11 × 109.

 

  • Factors: Numbers that divide another number exactly without leaving a remainder. For example, the factors of 1207 are 1, 11, 109, and 1207.
Professor Greenline from BrightChamps

About BrightChamps in Thailand

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 Thailand grasp important math skills, like today’s focus on the Is 1207 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 Dream World, 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 Thailand learn in many different ways, we tailor our approach to fit each child’s unique style. From the busy streets of Bangkok to the tropical islands of Phuket, BrightChamps brings math to life, making it relatable and exciting throughout Thailand. 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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