103 LearnersLast updated on May 26th, 2025
Factors of 734
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 734, how they are used in real life, and tips to learn them quickly.
What are the Factors of 734?
The numbers that divide 734 evenly are known as factors of 734.
A factor of 734 is a number that divides the number without remainder.
The factors of 734 are 1, 2, 367, and 734.
Negative factors of 734: -1, -2, -367, and -734.
Prime factors of 734: 2 and 367.
Prime factorization of 734: 2 × 367.
The sum of factors of 734: 1 + 2 + 367 + 734 = 1104
How to Find Factors of 734?
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 734. Identifying the numbers which are multiplied to get the number 734 is the multiplication method.
Step 1: Multiply 734 by 1, 734 × 1 = 734.
Step 2: Check for other numbers that give 734 after multiplying
2 × 367 = 734
Therefore, the positive factor pairs of 734 are: (1, 734) and (2, 367).
All these factor pairs result in 734.
For every positive factor, there is a negative factor.
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 simple division method
Step 1: Divide 734 by 1, 734 ÷ 1 = 734.
Step 2: Continue dividing 734 by the numbers until the remainder becomes 0.
734 ÷ 1 = 734
734 ÷ 2 = 367
Therefore, the factors of 734 are: 1, 2, 367, 734.
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 734 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
734 ÷ 2 = 367
367 ÷ 367 = 1
The prime factors of 734 are 2 and 367.
The prime factorization of 734 is: 2 × 367.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 734 is divided by 2 to get 367.
Step 2: Now divide 367 by 367 to get 1. Here, 367 is a prime number, and it cannot be divided further.
So, the prime factorization of 734 is: 2 × 367.
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 734: (1, 734) and (2, 367).
Negative factor pairs of 734: (-1, -734) and (-2, -367).
Common Mistakes and How to Avoid Them in Factors of 734
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 734, 1 and 734 are also factors.
Factors of 734 Examples
Problem 1
A garden has 2 types of plants, totaling 734. How many plants are there for each type if they are divided equally?
There are 367 plants of each type.
Explanation
To divide the plants equally, we need to divide the total plants by the number of types.
734/2 = 367
Problem 2
A field is rectangular, the length of the field is 367 meters, and the total area is 734 square meters. Find the width.
2 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width 734 = 367 × width
To find the value of width, we need to shift 367 to the left side.
734/367 = width
Width = 2.
Problem 3
There are 734 pencils and 2 boxes. How many pencils will be in each box?
Each box will have 367 pencils.
Explanation
To find the pencils in each box, divide the total pencils by the number of boxes.
734/2 = 367
Problem 4
There are 734 people attending a concert, and 2 gates. How many people should pass through each gate to equally distribute the crowd?
367 people should pass through each gate.
Explanation
Dividing the people by the total gates, we will get the number of people passing through each gate.
734/2 = 367
Problem 5
734 books need to be arranged in 2 sections. How many books will go in each section?
Each of the sections has 367 books.
Explanation
Divide total books by sections.
734/2 = 367
FAQs on Factors of 734
1.What are the factors of 734?
2.Mention the prime factors of 734.
3.Is 734 a multiple of 2?
4.Mention the factor pairs of 734?
5.What is the square of 734?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 734?
7.What are some fun ways kids in United Kingdom can practice Factors of 734 with numbers?
8.What role do numbers and Factors of 734 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 734 skills?
Important Glossaries for Factors of 734
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 734 are 1, 2, 367, and 734.
- Prime factors: The factors which are prime numbers. For example, 2 and 367 are prime factors of 734.
- 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 734 are (1, 734) and (2, 367).
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to the original number.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 734 is 2 × 367.
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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.
