Factors of 737
2026-02-28 11:33 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 737, how they are used in real life, and tips to learn them quickly.

What are the Factors of 737?

The numbers that divide 737 evenly are known as factors of 737.

A factor of 737 is a number that divides the number without remainder.

The factors of 737 are 1, 11, 67, and 737.

Negative factors of 737: -1, -11, -67, and -737.

Prime factors of 737: 11 and 67.

Prime factorization of 737: 11 × 67.

The sum of factors of 737: 1 + 11 + 67 + 737 = 816

How to Find Factors of 737?

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 737. Identifying the numbers which are multiplied to get the number 737 is the multiplication method.

Step 1: Multiply 737 by 1, 737 × 1 = 737.

Step 2: Check for other numbers that give 737 after multiplying 11 × 67 = 737

Therefore, the positive factor pairs of 737 are: (1, 737) and (11, 67).

All these factor pairs result in 737.

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 which result as whole numbers as factors. Factors can be calculated by following a simple division method 

Step 1: Divide 737 by 1, 737 ÷ 1 = 737.

Step 2: Continue dividing 737 by the numbers until the remainder becomes 0.

737 ÷ 1 = 737

737 ÷ 11 = 67

Therefore, the factors of 737 are: 1, 11, 67, 737.

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 737 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

737 ÷ 11 = 67

67 ÷ 67 = 1

The prime factors of 737 are 11 and 67.

The prime factorization of 737 is: 11 × 67.

Factor Tree

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

Step 1: Firstly, 737 is divided by 11 to get 67.

Step 2: Now divide 67 by 67 to get 1. Here, 67 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 737 is: 11 × 67.

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 737: (1, 737) and (11, 67).

Negative factor pairs of 737: (-1, -737) and (-11, -67).

Common Mistakes and How to Avoid Them in Factors of 737

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 11 teachers and 737 students. How will they divide the students equally?

Okay, lets begin

Each teacher will have 67 students.

Explanation

To divide the students equally, we need to divide the total students by the number of teachers.

737/11 = 67

Well explained 👍

Problem 2

A rectangular room has a width of 67 meters and a total area of 737 square meters. Find the length of the room.

Okay, lets begin

11 meters.

Explanation

To find the length of the room, we use the formula, Area = length × width 737 = length × 67

To find the value of length, we need to shift 67 to the left side.

737/67 = length

Length = 11.

Well explained 👍

Problem 3

There are 67 gift boxes and 737 candies. How many candies will be in each box?

Okay, lets begin

Each box will have 11 candies.

Explanation

To find the candies in each box, divide the total candies by the boxes.

737/67 = 11

Well explained 👍

Problem 4

In a competition, there are 737 participants and 11 teams. How many participants are there in each team?

Okay, lets begin

There are 67 participants in each team.

Explanation

Dividing the participants by the total number of teams, we will get the number of participants in each team.

737/11 = 67

Well explained 👍

Problem 5

737 books need to be arranged in 11 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 67 books.

Explanation

Divide total books by shelves.

737/11 = 67

Well explained 👍

FAQs on Factors of 737

1.What are the factors of 737?

1, 11, 67, 737 are the factors of 737.

2.Mention the prime factors of 737.

The prime factors of 737 are 11 × 67.

3.Is 737 a multiple of 11?

4.Mention the factor pairs of 737?

(1, 737) and (11, 67) are the factor pairs of 737.

5.What is the square of 737?

Important Glossaries for Factor of 737

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 737 are 1, 11, 67, and 737.
  • Prime factors: The factors which are prime numbers. For example, 11 and 67 are prime factors of 737.
  • 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 737 are (1, 737) and (11, 67).
  • Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.
  • Prime factorization: The process of breaking down a number into its prime components. For example, the prime factorization of 737 is 11 × 67.

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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.