Factors of 767
2026-02-28 10:25 Diff
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Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without 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 767, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 767?

The numbers that divide 767 evenly are known as factors of 767.

 A factor of 767 is a number that divides the number without remainder.

The factors of 767 are 1, 13, 59, and 767. \

Negative factors of 767: -1, -13, -59, and -767.

Prime factors of 767: 13 and 59.

Prime factorization of 767: 13 × 59.

The sum of factors of 767: 1 + 13 + 59 + 767 = 840

How to Find Factors of 767?

Factors can be found using different methods. Mentioned below are some commonly used methods:

  • Finding factors using multiplication
  • Finding factors using 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 767. Identifying the numbers which are multiplied to get the number 767 is the multiplication method.

Step 1: Multiply 767 by 1, 767 × 1 = 767.

Step 2: Check for other numbers that give 767 after multiplying
13 × 59 = 767

Therefore, the positive factor pairs of 767 are: (1, 767), (13, 59). All these factor pairs result in 767.

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the 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 767 by 1, 767 ÷ 1 = 767.

Step 2: Continue dividing 767 by the numbers until the remainder becomes 0.

767 ÷ 1 = 767
767 ÷ 13 = 59

Therefore, the factors of 767 are: 1, 13, 59, 767.

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 767 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

767 ÷ 13 = 59
59 ÷ 59 = 1

The prime factors of 767 are 13 and 59.

The prime factorization of 767 is: 13 × 59.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

Step 1: Firstly, 767 is divided by 13 to get 59.

Step 2: Now divide 59 by 59 to get 1. Here, 59 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 767 is: 13 × 59.

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 767: (1, 767), (13, 59).

Negative factor pairs of 767: (-1, -767), (-13, -59).

Common Mistakes and How to Avoid Them in Factors of 767

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

There are 767 pages to be equally distributed among 13 editors. How many pages will each editor receive?

Okay, lets begin

Each editor will receive 59 pages.

Explanation

To distribute the pages equally, we need to divide the total pages by the number of editors.
767/13 = 59

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Problem 2

A rectangular garden is 13 meters in one dimension, with a total area of 767 square meters. What is the length of the other dimension?

Okay, lets begin

59 meters.

Explanation

To find the other dimension of the garden, we use the formula,
Area = length × width
767 = 13 × width
To find the value of width, we need to shift 13 to the left side.
767/13 = width
 

Width = 59.

Well explained 👍

Problem 3

There are 59 students and 767 pencils. How many pencils will each student receive?

Okay, lets begin

Each student will receive 13 pencils.

Explanation

To find the pencils each student receives, divide the total pencils by the students.
767/59 = 13

Well explained 👍

Problem 4

In a library, 767 books need to be arranged on 13 shelves. How many books will go on each shelf?

Okay, lets begin

Each shelf will have 59 books.

Explanation

Dividing the books by the total shelves, we will get the number of books on each shelf.
767/13 = 59

Well explained 👍

Problem 5

A school has 767 students and 59 buses. How many students should be on each bus?

Okay, lets begin

Each bus should have 13 students.

Explanation

Divide the total students by the buses.
767/59 = 13

Well explained 👍

FAQs on Factors of 767

1.What are the factors of 767?

1, 13, 59, 767 are the factors of 767.

2.Mention the prime factors of 767.

The prime factors of 767 are 13 × 59.

3.Is 767 a multiple of 13?

4.Mention the factor pairs of 767?

(1, 767), (13, 59) are the factor pairs of 767.

5.What is the square of 767?

Important Glossaries for Factors of 767

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 767 are 1, 13, 59, and 767.
     
  • Prime factors: The factors which are prime numbers. For example, 13 and 59 are prime factors of 767.
     
  • 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 767 are (1, 767) and (13, 59).
     
  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 767 is 13 × 59.
     
  • Negative factors: Factors that are negative counterparts of the positive factors. For example, the negative factors of 767 are -1, -13, -59, and -767.

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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.