102 LearnersLast updated on May 26th, 2025
Factors of 738
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 738, how they are used in real life, and tips to learn them quickly.
What are the Factors of 738?
The numbers that divide 738 evenly are known as factors of 738.
A factor of 738 is a number that divides the number without remainder.
The factors of 738 are 1, 2, 3, 6, 123, 246, 369, and 738.
Negative factors of 738: -1, -2, -3, -6, -123, -246, -369, and -738.
Prime factors of 738: 2, 3, and 41.
Prime factorization of 738: 2 × 3 × 3 × 41.
The sum of factors of 738: 1 + 2 + 3 + 6 + 123 + 246 + 369 + 738 = 1488
How to Find Factors of 738?
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 738. Identifying the numbers which are multiplied to get the number 738 is the multiplication method.
Step 1: Multiply 738 by 1, 738 × 1 = 738.
Step 2: Check for other numbers that give 738 after multiplying
2 × 369 = 738
3 × 246 = 738
6 × 123 = 738
Therefore, the positive factor pairs of 738 are: (1, 738), (2, 369), (3, 246), (6, 123).
All these factor pairs result in 738.
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 a simple division method
Step 1: Divide 738 by 1, 738 ÷ 1 = 738.
Step 2: Continue dividing 738 by the numbers until the remainder becomes 0.
738 ÷ 1 = 738
738 ÷ 2 = 369
738 ÷ 3 = 246
738 ÷ 6 = 123
Therefore, the factors of 738 are: 1, 2, 3, 6, 123, 246, 369, and 738.
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 738 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
738 ÷ 2 = 369
369 ÷ 3 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
The prime factors of 738 are 2, 3, and 41.
The prime factorization of 738 is: 2 × 3 × 3 × 41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 738 is divided by 2 to get 369.
Step 2: Now divide 369 by 3 to get 123.
Step 3: Then divide 123 by 3 to get 41. Here, 41 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 738 is: 2 × 3 × 3 × 41.
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 738: (1, 738), (2, 369), (3, 246), (6, 123).
Negative factor pairs of 738: (-1, -738), (-2, -369), (-3, -246), (-6, -123).
Common Mistakes and How to Avoid Them in Factors of 738
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 738, 1 and 738 are also factors.
Factors of 738 Examples
Problem 1
There are 369 apples, and each basket can hold 2 apples. How many baskets are needed?
184 baskets are needed.
Explanation
To find how many baskets are needed, we divide the total apples by the number of apples each basket can hold.
369/2 = 184.5
Since we can't have half a basket, we round up to 185 baskets.
Problem 2
A rectangular floor has an area of 738 square meters and a width of 6 meters. What is the length of the floor?
123 meters.
Explanation
To find the length of the floor, we use the formula, Area = length × width 738 = 6 × length
To find the value of length, we divide the area by the width.
738/6 = length
Length = 123.
Problem 3
A shipment contains 246 boxes, and each container can hold 3 boxes. How many containers are required?
82 containers are required.
Explanation
To find the number of containers needed, divide the total boxes by the number of boxes each container holds.
246/3 = 82
Problem 4
In a school event, there are 738 chairs and 123 rows. How many chairs are in each row?
6 chairs are in each row.
Explanation
Dividing the total chairs by the number of rows gives the number of chairs in each row.
738/123 = 6
Problem 5
A library has 369 books to be arranged equally on 3 shelves. How many books will go on each shelf?
123 books will go on each shelf.
Explanation
Divide the total books by the number of shelves to find the number of books on each shelf.
369/3 = 123
FAQs on Factors of 738
1.What are the factors of 738?
2.Mention the prime factors of 738.
3.Is 738 a multiple of 3?
4.Mention the factor pairs of 738?
5.What is the square of 738?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 738?
7.What are some fun ways kids in United Kingdom can practice Factors of 738 with numbers?
8.What role do numbers and Factors of 738 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 738 skills?
Important Glossaries for Factors of 738
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 738 are 1, 2, 3, 6, 123, 246, 369, and 738.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 41 are prime factors of 738.
- 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 738 are (1, 738), (2, 369), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 738 is 2 × 3 × 3 × 41.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 738 are -1, -2, -3, -6, -123, -246, -369, and -738.
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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.
