Factors of 1267
2026-02-28 17:42 Diff
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Last updated on December 12, 2025

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: -

  1. Finding factors using multiplication 
  2. Finding factors using the division method 
  3. 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.

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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: 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

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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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?

Okay, lets begin

The books can be arranged in 1 way.

Explanation

Since 1267 is a prime number, the only way to arrange books in a single row is to have all 1267 books in that row.

Well explained 👍

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?

Okay, lets begin

The flyers can be distributed in 2 ways: to 1 recipient or to 1267 recipients.

Explanation

Because 1267 is a prime number, it can only be divided evenly by 1 or itself.

Well explained 👍

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?

Okay, lets begin

The event needs 1 or 1267 tables.

Explanation

Since 1267 is a prime number, participants can only be divided into 1 table with all participants or 1267 tables with 1 participant each.

Well explained 👍

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?

Okay, lets begin

The seats can be arranged in 1 row of 1267 seats or 1267 rows of 1 seat.

Explanation

Because 1267 is prime, the only arrangements are 1 row of 1267 seats or 1267 rows of 1 seat each.

Well explained 👍

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?

Okay, lets begin

You will need either 1 or 1267 vehicles.

Explanation

Since 1267 is a prime number, the boxes can only be divided into 1 vehicle carrying all the boxes or 1267 vehicles carrying 1 box each.

Well explained 👍

FAQs on Factors of 1267

1.What are the factors of 1267?

1 and 1267 are the factors of 1267.

2.Mention the prime factors of 1267.

The prime factor of 1267 is 1267 itself.

3.Is 1267 a multiple of any number other than 1 and itself?

No, 1267 is a prime number, so it is only a multiple of 1 and 1267.

4.Mention the factor pairs of 1267?

(1, 1267) are the factor pairs of 1267.

5.Is 1267 a prime number?

Yes, 1267 is 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.