100 LearnersLast updated on May 26th, 2025
Factors of 1392
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 1392, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1392?
The numbers that divide 1392 evenly are known as factors of 1392.
A factor of 1392 is a number that divides the number without remainder.
The factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, and 1392.
Negative factors of 1392: -1, -2, -3, -4, -6, -8, -12, -16, -24, -29, -48, -58, -87, -116, -174, -232, -348, -464, -696, and -1392.
Prime factors of 1392: 2, 3, and 29.
Prime factorization of 1392: 24 × 3 × 29.
The sum of factors of 1392: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 29 + 48 + 58 + 87 + 116 + 174 + 232 + 348 + 464 + 696 + 1392 = 3720
How to Find Factors of 1392?
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 1392. Identifying the numbers which are multiplied to get the number 1392 is the multiplication method.
Step 1: Multiply 1392 by 1, 1392 × 1 = 1392.
Step 2: Check for other numbers that give 1392 after multiplying
2 × 696 = 1392
3 × 464 = 1392
4 × 348 = 1392
6 × 232 = 1392
8 × 174 = 1392
12 × 116 = 1392
16 × 87 = 1392
24 × 58 = 1392
29 × 48 = 1392
Therefore, the positive factor pairs of 1392 are: (1, 1392), (2, 696), (3, 464), (4, 348), (6, 232), (8, 174), (12, 116), (16, 87), (24, 58), and (29, 48).
All these factor pairs result in 1392.
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 the simple division method
Step 1: Divide 1392 by 1, 1392 ÷ 1 = 1392.
Step 2: Continue dividing 1392 by the numbers until the remainder becomes 0.
1392 ÷ 1 = 1392
1392 ÷ 2 = 696
1392 ÷ 3 = 464
1392 ÷ 4 = 348
1392 ÷ 6 = 232
1392 ÷ 8 = 174
1392 ÷ 12 = 116
1392 ÷ 16 = 87
1392 ÷ 24 = 58
1392 ÷ 29 = 48
Therefore, the factors of 1392 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, and 1392.
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 1392 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1392 ÷ 2 = 696
696 ÷ 2 = 348
348 ÷ 2 = 174
174 ÷ 2 = 87
87 ÷ 3 = 29
29 ÷ 29 = 1
The prime factors of 1392 are 2, 3, and 29.
The prime factorization of 1392 is: 24 × 3 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1392 is divided by 2 to get 696.
Step 2: Now divide 696 by 2 to get 348.
Step 3: Then divide 348 by 2 to get 174.
Step 4: Divide 174 by 2 to get 87.
Step 5: Divide 87 by 3 to get 29. Here, 29 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1392 is: 24 × 3 × 29.
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 1392: (1, 1392), (2, 696), (3, 464), (4, 348), (6, 232), (8, 174), (12, 116), (16, 87), (24, 58), and (29, 48).
Negative factor pairs of 1392: (-1, -1392), (-2, -696), (-3, -464), (-4, -348), (-6, -232), (-8, -174), (-12, -116), (-16, -87), (-24, -58), and (-29, -48).
Common Mistakes and How to Avoid Them in Factors of 1392
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 1392, 1 and 1392 are also factors.
Factors of 1392 Examples
Problem 1
There are 12 friends and 1392 candies. How will they divide it equally?
They will get 116 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1392/12 = 116
Problem 2
A rectangular garden has a length of 48 meters and a total area of 1392 square meters. Find the width.
29 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1392 = 48 × width
To find the value of width, we need to shift 48 to the left side.
1392/48 = width
Width = 29.
Problem 3
There are 29 baskets and 1392 apples. How many apples will be in each basket?
Each basket will have 48 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1392/29 = 48
Problem 4
In a class, there are 1392 students, and 6 groups. How many students are there in each group?
There are 232 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1392/6 = 232
Problem 5
1392 books need to be arranged in 87 shelves. How many books will go on each shelf?
Each of the shelves has 16 books.
Explanation
Divide total books by shelves.
1392/87 = 16
FAQs on Factors of 1392
1.What are the factors of 1392?
2.Mention the prime factors of 1392.
3.Is 1392 a multiple of 4?
4.Mention the factor pairs of 1392?
5.What is the square of 1392?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1392?
7.What are some fun ways kids in Bahrain can practice Factors of 1392 with numbers?
8.What role do numbers and Factors of 1392 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1392 skills?
Important Glossaries for Factor of 1392
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1392 are 1, 2, 3, 4, 6, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 29 are prime factors of 1392.
- 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 1392 are (1, 1392), (2, 696), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1392 is 24 × 3 × 29.
- Multiple: A number that can be divided by another number without a remainder. For example, 1392 is a multiple of 4.
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About BrightChamps in Bahrain
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.
