100 LearnersLast updated on May 26th, 2025
Factors of 2744
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 2744, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2744?
The numbers that divide 2744 evenly are known as factors of 2744.
A factor of 2744 is a number that divides the number without remainder.
The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, and 2744.
Negative factors of 2744: -1, -2, -4, -7, -8, -14, -28, -49, -56, -98, -196, -343, -392, -686, -1372, and -2744.
Prime factors of 2744: 2 and 7.
Prime factorization of 2744: (23 times 73).
The sum of factors of 2744: 1 + 2 + 4 + 7 + 8 + 14 + 28 + 49 + 56 + 98 + 196 + 343 + 392 + 686 + 1372 + 2744 = 6000
How to Find Factors of 2744?
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 2744. Identifying the numbers which are multiplied to get the number 2744 is the multiplication method.
Step 1: Multiply 2744 by 1, 2744 × 1 = 2744.
Step 2: Check for other numbers that give 2744 after multiplying:
2 × 1372 = 2744
4 × 686 = 2744
7 × 392 = 2744
8 × 343 = 2744
14 × 196 = 2744
28 × 98 = 2744
49 × 56 = 2744
Therefore, the positive factor pairs of 2744 are: (1, 2744), (2, 1372), (4, 686), (7, 392), (8, 343), (14, 196), (28, 98), (49, 56). 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 2744 by 1, 2744 ÷ 1 = 2744.
Step 2: Continue dividing 2744 by the numbers until the remainder becomes 0.
2744 ÷ 1 = 2744
2744 ÷ 2 = 1372
2744 ÷ 4 = 686
2744 ÷ 7 = 392
2744 ÷ 8 = 343
2744 ÷ 14 = 196
2744 ÷ 28 = 98
2744 ÷ 49 = 56
Therefore, the factors of 2744 are: 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 2744 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2744 ÷ 2 = 1372
1372 ÷ 2 = 686
686 ÷ 2 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 2744 are 2 and 7.
The prime factorization of 2744 is: (23 times 73).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 2744 is divided by 2 to get 1372.
Step 2: Now divide 1372 by 2 to get 686.
Step 3: Then divide 686 by 2 to get 343.
Step 4: Divide 343 by 7 to get 49.
Step 5: Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 2744 is: (23 times 73).
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 2744: (1, 2744), (2, 1372), (4, 686), (7, 392), (8, 343), (14, 196), (28, 98), (49, 56).
Negative factor pairs of 2744: (-1, -2744), (-2, -1372), (-4, -686), (-7, -392), (-8, -343), (-14, -196), (-28, -98), (-49, -56).
Common Mistakes and How to Avoid Them in Factors of 2744
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 word. Always remember to include 1 and the number itself.
For example, in factors of 2744, 1 and 2744 are also factors.
Factors of 2744 Examples
Problem 1
A farmer has 2744 apples to pack and wants to distribute them evenly into baskets of 49 apples each. How many baskets does he need?
He will need 56 baskets.
Explanation
To determine the number of baskets, divide the total apples by the number of apples per basket.
2744/49 = 56
Problem 2
A rectangular garden has an area of 2744 square feet and a length of 56 feet. What is the width of the garden?
49 feet.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2744 = 56 × width
To find the value of width, we need to shift 56 to the left side.
2744/56 = width
Width = 49.
Problem 3
There are 343 gift boxes, and 2744 candies need to be equally distributed among them. How many candies will be in each box?
Each box will have 8 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
2744/343 = 8
Problem 4
A teacher has 2744 worksheets to distribute among 98 students. How many worksheets will each student receive?
Each student will receive 28 worksheets.
Explanation
Dividing the worksheets by the total students, we will get the number of worksheets each student receives.
2744/98 = 28
Problem 5
A library has 2744 books to be organized on shelves with 196 books each. How many shelves will be filled?
14 shelves will be filled.
Explanation
Divide total books by books per shelf.
2744/196 = 14
FAQs on Factors of 2744
1.What are the factors of 2744?
2.Mention the prime factors of 2744.
3.Is 2744 a multiple of 4?
4.Mention the factor pairs of 2744?
5.What is the square root of 2744?
6.How can children in Canada use numbers in everyday life to understand Factors of 2744?
7.What are some fun ways kids in Canada can practice Factors of 2744 with numbers?
8.What role do numbers and Factors of 2744 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 2744 skills?
Important Glossaries for Factors of 2744
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, and 2744.
- Prime factors: The factors which are prime numbers. For example, 2 and 7 are prime factors of 2744.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 2744 is (23 times 73).
- 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 2744 are (1, 2744), (2, 1372), etc.
- Multiplication method: Finding factors by identifying pairs of numbers that multiply to give the original number.
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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
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