125 LearnersLast updated on May 26th, 2025
Factors of 1548
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 1548, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1548?
The numbers that divide 1548 evenly are known as factors of 1548. A factor of 1548 is a number that divides the number without remainder. The factors of 1548 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 294, 441, 588, 772, and 1548.
Negative factors of 1548: -1, -2, -3, -4, -6, -7, -9, -12, -14, -18, -21, -28, -36, -42, -49, -63, -84, -98, -126, -147, -196, -294, -441, -588, -772, and -1548.
Prime factors of 1548: 2, 3, and 7.
Prime factorization of 1548: 2² × 3 × 7² × 3.
The sum of factors of 1548: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 12 + 14 + 18 + 21 + 28 + 36 + 42 + 49 + 63 + 84 + 98 + 126 + 147 + 196 + 294 + 441 + 588 + 772 + 1548 = 5040
How to Find Factors of 1548?
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 1548. Identifying the numbers which are multiplied to get the number 1548 is the multiplication method.
Step 1: Multiply 1548 by 1, 1548 × 1 = 1548.
Step 2: Check for other numbers that give 1548 after multiplying
2 × 774 = 1548
3 × 516 = 1548
4 × 387 = 1548
6 × 258 = 1548
7 × 221 = 1548
9 × 172 = 1548
12 × 129 = 1548
14 × 111 = 1548
18 × 86 = 1548
21 × 74 = 1548
28 × 55 = 1548
36 × 43 = 1548
Therefore, the positive factor pairs of 1548 are: (1, 1548), (2, 774), (3, 516), (4, 387), (6, 258), (7, 221), (9, 172), (12, 129), (14, 111), (18, 86), (21, 74), (28, 55), and (36, 43). 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 1548 by 1, 1548 ÷ 1 = 1548.
Step 2: Continue dividing 1548 by the numbers until the remainder becomes 0.
1548 ÷ 1 = 1548
1548 ÷ 2 = 774
1548 ÷ 3 = 516
1548 ÷ 4 = 387
1548 ÷ 6 = 258
1548 ÷ 7 = 221
1548 ÷ 9 = 172
1548 ÷ 12 = 129
1548 ÷ 14 = 111
1548 ÷ 18 = 86
1548 ÷ 21 = 74
1548 ÷ 28 = 55
1548 ÷ 36 = 43
Therefore, the factors of 1548 are: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 43, 55, 74, 86, 111, 129, 172, 221, 258, 387, 516, 774, 1548.
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 1548 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1548 ÷ 2 = 774
774 ÷ 2 = 387
387 ÷ 3 = 129
129 ÷ 3 = 43
43 is a prime number and cannot be divided further. The prime factors of 1548 are 2, 3, and 7. The prime factorization of 1548 is: 2² × 3 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1548 is divided by 2 to get 774.
Step 2: Now divide 774 by 2 to get 387.
Step 3: Then divide 387 by 3 to get 129.
Step 4: Divide 129 by 3 to get 43. Here, 43 is a prime number that cannot be divided anymore. So, the prime factorization of 1548 is: 2² × 3 × 43.
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 1548: (1, 1548), (2, 774), (3, 516), (4, 387), (6, 258), (7, 221), (9, 172), (12, 129), (14, 111), (18, 86), (21, 74), (28, 55), and (36, 43).
- Negative factor pairs of 1548: (-1, -1548), (-2, -774), (-3, -516), (-4, -387), (-6, -258), (-7, -221), (-9, -172), (-12, -129), (-14, -111), (-18, -86), (-21, -74), (-28, -55), and (-36, -43).
Common Mistakes and How to Avoid Them in Factors of 1548
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 factors for every number. Always remember to include 1 and the number itself. For example, in factors of 1548, 1 and 1548 are also factors.
Factors of 1548 Examples
Problem 1
A teacher has 1548 pencils and wants to distribute them equally among 18 students. How many pencils will each student receive?
Each student will receive 86 pencils.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
1548/18 = 86
Problem 2
A rectangular garden has a total area of 1548 square meters, and its length is 36 meters. What is the width of the garden?
The width is 43 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1548 = 36 × width
To find the value of width, we need to shift 36 to the other side
. 1548/36 = width
Width = 43.
Problem 3
There are 7 teams, and each team needs the same number of 1548 items. How many items will each team get?
Each team will get 221 items.
Explanation
To find the items for each team, divide the total items by the number of teams.
1548/7 = 221
Problem 4
A box contains 1548 marbles, and 9 bags are needed to pack them equally. How many marbles will be in each bag?
Each bag will have 172 marbles.
Explanation
Dividing the marbles with the total bags, we will get the number of marbles in each bag.
1548/9 = 172
Problem 5
1548 books need to be distributed equally in 12 libraries. How many books will each library receive?
Each library will receive 129 books.
Explanation
Divide total books by the number of libraries.
1548/12 = 129
FAQs on Factors of 1548
1.What are the factors of 1548?
2.Mention the prime factors of 1548.
3.Is 1548 a multiple of 4?
4.Mention the factor pairs of 1548?
5.What is the square of 1548?
6.How can children in Canada use numbers in everyday life to understand Factors of 1548?
7.What are some fun ways kids in Canada can practice Factors of 1548 with numbers?
8.What role do numbers and Factors of 1548 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1548 skills?
Important Glossaries for Factor of 1548
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1548 are 1, 2, 3, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 43 are prime factors of 1548.
- 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 1548 are (1, 1548), (2, 774), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For example, 1548 = 2² × 3 × 43.
- Negative factors: Factors of a number that are negative. For example, -1, -2, -3, etc., are negative factors of 1548.
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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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