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100 LearnersLast updated on April 16th, 2025
Factors of 1267
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 1267, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1267?
The numbers that divide 1267 evenly are known as factors of 1267. A factor of 1267 is a number that divides the number without a remainder. Since 1267 is a prime number, its only factors are 1 and 1267.
Negative factors of 1267: -1 and -1267.
Prime factors of 1267: 1267.
Prime factorization of 1267: 1267 (since it is a prime number).
The sum of factors of 1267: 1 + 1267 = 1268.
How to Find Factors of 1267?
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 are multiplied to give 1267. Since 1267 is a prime number, the only multiplication that works is: 1 × 1267 = 1267
Therefore, the positive factor pairs of 1267 are: (1, 1267). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1267 by 1, 1267 ÷ 1 = 1267.
Step 2: Check for other numbers, but since 1267 is prime, no other division results in a whole number.
Therefore, the factors of 1267 are: 1 and 1267.
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: As 1267 is a prime number, it cannot be broken down further. Thus, the prime factorization of 1267 is itself: 1267.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, for 1267, being a prime number, the factor tree is simply itself: 1267 Since 1267 is already a prime number, it cannot be divided further.
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 1267: (1, 1267).
- Negative factor pairs of 1267: (-1, -1267).
Common Mistakes and How to Avoid Them in Factors of 1267
Factors of 1267 Examples
Problem 1
A library has 1267 books that need to be arranged on a single shelf. How many ways can the books be arranged if they must be in a single row?
Explanation
Problem 2
A company wants to evenly distribute 1267 promotional flyers among a certain number of recipients. In how many ways can they achieve this?
Explanation
Problem 3
An event has 1267 participants. If each table at the event must have the same number of participants and each table can hold any positive number of participants, how many tables are needed?
Explanation
Problem 4
There are 1267 seats in a theater. If every row must have the same number of seats, how can the rows be arranged?
Explanation
Problem 5
A shipment of 1267 boxes needs to be delivered evenly among delivery vehicles. How many vehicles are needed if each vehicle carries an equal load?
Explanation
FAQs on Factors of 1267
1.What are the factors of 1267?
2.Mention the prime factors of 1267.
3.Is 1267 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1267?
5.Is 1267 a prime number?
Important Glossaries for Factors of 1267
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1267 are 1 and 1267.
- Prime factors: The factors which are prime numbers. For example, 1267 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 pairs of 1267 are (1, 1267).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1267 is a prime number.
- Division method: A technique to find factors of a number by dividing it by integers to see which ones leave no remainder.
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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.
