101 LearnersLast updated on May 26th, 2025
Factors of 744
Factors are the numbers that divide any given number evenly without a 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 744, how they are used in real life, and tips to learn them quickly.
What are the Factors of 744?
The numbers that divide 744 evenly are known as factors of 744
. A factor of 744 is a number that divides the number without a remainder.
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, and 744.
Negative factors of 744: -1, -2, -3, -4, -6, -8, -12, -24, -31, -62, -93, -124, -186, -248, -372, and -744.
Prime factors of 744: 2, 3, and 31.
Prime factorization of 744: 23 × 3 × 31.
The sum of factors of 744: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 31 + 62 + 93 + 124 + 186 + 248 + 372 + 744 = 1920
How to Find Factors of 744?
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 744. Identifying the numbers which are multiplied to get the number 744 is the multiplication method.
Step 1: Multiply 744 by 1, 744 × 1 = 744.
Step 2: Check for other numbers that give 744 after multiplying
2 × 372 = 744
3 × 248 = 744
4 × 186 = 744
6 × 124 = 744
8 × 93 = 744
12 × 62 = 744
24 × 31 = 744
Therefore, the positive factor pairs of 744 are: (1, 744), (2, 372), (3, 248), (4, 186), (6, 124), (8, 93), (12, 62), (24, 31).
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 744 by 1, 744 ÷ 1 = 744.
Step 2: Continue dividing 744 by the numbers until the remainder becomes 0.
744 ÷ 1 = 744
744 ÷ 2 = 372
744 ÷ 3 = 248
744 ÷ 4 = 186
744 ÷ 6 = 124
744 ÷ 8 = 93
744 ÷ 12 = 62
744 ÷ 24 = 31
Therefore, the factors of 744 are: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744.
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 744 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
744 ÷ 2 = 372
372 ÷ 2 = 186
186 ÷ 2 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
The prime factors of 744 are 2, 3, and 31.
The prime factorization of 744 is: 23 × 3 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 744 is divided by 2 to get 372.
Step 2: Now divide 372 by 2 to get 186.
Step 3: Then divide 186 by 2 to get 93.
Step 4: Divide 93 by 3 to get 31. Here, 31 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 744 is: 23 × 3 × 31.
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 744: (1, 744), (2, 372), (3, 248), (4, 186), (6, 124), (8, 93), (12, 62), (24, 31).
Negative factor pairs of 744: (-1, -744), (-2, -372), (-3, -248), (-4, -186), (-6, -124), (-8, -93), (-12, -62), (-24, -31).
Common Mistakes and How to Avoid Them in Factors of 744
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 744, 1 and 744 is also a factor.
Factors of 744 Examples
Problem 1
There are 12 students and 744 apples. How will they distribute it equally?
They will get 62 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples with the number of students.
744/12 = 62
Problem 2
A piece of fabric is rectangular, the length of the fabric is 31 meters, and the total area is 744 square meters. Find the width?
24 meters.
Explanation
To find the width of the fabric, we use the formula, Area = length × width 744 = 31 × width
To find the value of width, we need to shift 31 to the left side
. 744/31 = width
Width = 24.
Problem 3
There are 62 baskets and 744 oranges. How many oranges will be in each basket?
Each basket will have 12 oranges.
Explanation
To find the oranges in each basket, divide the total oranges with the baskets.
744/62 = 12
Problem 4
In a workshop, there are 186 participants, and 4 groups. How many participants are there in each group?
There are 46 participants in each group.
Explanation
Dividing the participants with the total groups, we will get the number of participants in each group.
744/4 = 186
Problem 5
744 books need to be arranged in 31 shelves. How many books will go on each shelf?
Each of the shelves has 24 books.
Explanation
Divide total books with shelves.
744/31 = 24
FAQs on Factors of 744
1.What are the factors of 744?
2.Mention the prime factors of 744.
3.Is 744 a multiple of 3?
4.Mention the factor pairs of 744?
5.What is the square of 744?
6.How can children in Australia use numbers in everyday life to understand Factors of 744?
7.What are some fun ways kids in Australia can practice Factors of 744 with numbers?
8.What role do numbers and Factors of 744 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 744 skills?
Important Glossaries for Factor of 744
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, and 744.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 31 are prime factors of 744.
- 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 744 are (1, 744), (2, 372), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 744 is 23 × 3 × 31.
- Multiple: A multiple is the product of a number and an integer. For example, 744 is a multiple of 3.
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About BrightChamps in Australia
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.
