101 LearnersLast updated on May 26th, 2025
Factors of 737
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.
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
- Using factor tree
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.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 737, 1 and 737 are also factors.
Factors of 737 Examples
Problem 1
There are 11 teachers and 737 students. How will they divide the students equally?
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
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.
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.
Problem 3
There are 67 gift boxes and 737 candies. How many candies will be in each box?
Each box will have 11 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
737/67 = 11
Problem 4
In a competition, there are 737 participants and 11 teams. How many participants are there in each team?
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
Problem 5
737 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 67 books.
Explanation
Divide total books by shelves.
737/11 = 67
FAQs on Factors of 737
1.What are the factors of 737?
2.Mention the prime factors of 737.
3.Is 737 a multiple of 11?
4.Mention the factor pairs of 737?
5.What is the square of 737?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 737?
7.What are some fun ways kids in United Kingdom can practice Factors of 737 with numbers?
8.What role do numbers and Factors of 737 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 737 skills?
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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About BrightChamps in United Kingdom
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.
