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100 LearnersLast updated on April 16th, 2025
Factors of 1237
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1237, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1237?
The numbers that divide 1237 evenly are known as factors of 1237. A factor of 1237 is a number that divides the number without remainder. The factors of 1237 are 1 and 1237.
Negative factors of 1237: -1 and -1237.
Prime factors of 1237: 1237.
Prime factorization of 1237: 1237 is itself a prime number.
The sum of factors of 1237: 1 + 1237 = 1238
How to Find Factors of 1237?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that multiply to give 1237. Since 1237 is a prime number, the only multiplication pair is itself and 1.
Step 1: Multiply 1237 by 1, 1237 × 1 = 1237.
Therefore, the only positive factor pair of 1237 is: (1, 1237). For every positive factor, there is a corresponding negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1237 by 1, 1237 ÷ 1 = 1237.
Step 2: Since 1237 is a prime number, it cannot be divided evenly by any other whole number except itself. Therefore, the factors of 1237 are: 1 and 1237.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, since 1237 is a prime number, it cannot be broken down into other prime factors. The prime factorization of 1237 is just 1237 since it is a prime number.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1237 is a prime number, it cannot be broken down further. Therefore, the prime factorization of 1237 is just 1237.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
- Positive factor pairs of 1237: (1, 1237).
- Negative factor pairs of 1237: (-1, -1237).
Common Mistakes and How to Avoid Them in Factors of 1237
Factors of 1237 Examples
Problem 1
A farmer has 1,237 apples and wants to distribute them equally among his farms. How many farms would he need to have only 1 apple left over?
Explanation
Problem 2
A runner completed a marathon in 1237 minutes. If each lap takes 1237 minutes, how many laps did the runner complete?
Explanation
Problem 3
There are 1237 seats in a theater. If each row has 1 seat, how many rows are there?
Explanation
Problem 4
A group of 1237 people attends a concert, and there is only 1 section available. How many people will sit in the section?
Explanation
Problem 5
A delivery truck can carry 1,237 boxes. If each trip carries all the boxes, how many trips are needed?
Explanation
FAQs on Factors of 1237
1.What are the factors of 1237?
2.Mention the prime factors of 1237.
3.Is 1237 a multiple of 2?
4.Mention the factor pairs of 1237.
5.What is the square of 1237?
Important Glossaries for Factors of 1237
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1237 are 1 and 1237.
- Prime factors: The factors which are prime numbers. For example, 1237 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1237 is (1, 1237).
- Prime number: A number greater than 1 with no divisors other than 1 and itself, like 1237.
- Division method: A method to find factors by dividing the number by whole numbers to find divisors.
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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.
Fun Fact
: She loves to read number jokes and games.
