122 LearnersLast updated on May 26th, 2025
Factors of 792
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 792, how they are used in real life, and tips to learn them quickly.
What are the Factors of 792?
The numbers that divide 792 evenly are known as factors of 792.
A factor of 792 is a number that divides the number without remainder.
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, and 792.
Negative factors of 792: -1, -2, -3, -4, -6, -8, -9, -11, -12, -18, -22, -24, -33, -36, -44, -66, -72, -88, -99, -132, -198, -264, -396, and -792.
Prime factors of 792: 2, 3, and 11.
Prime factorization of 792: 23 × 32 × 11.
The sum of factors of 792: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 18 + 22 + 24 + 33 + 36 + 44 + 66 + 72 + 88 + 99 + 132 + 198 + 264 + 396 + 792 = 2016.
How to Find Factors of 792?
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 792. Identifying the numbers which are multiplied to get the number 792 is the multiplication method.
Step 1: Multiply 792 by 1, 792 × 1 = 792. Step 2: Check for other numbers that give 792 after multiplying
2 × 396 = 792
3 × 264 = 792
4 × 198 = 792
6 × 132 = 792
8 × 99 = 792
9 × 88 = 792
11 × 72 = 792
12 × 66 = 792
18 × 44 = 792
22 × 36 = 792
24 × 33 = 792
Therefore, the positive factor pairs of 792 are: (1, 792), (2, 396), (3, 264), (4, 198), (6, 132), (8, 99), (9, 88), (11, 72), (12, 66), (18, 44), (22, 36), (24, 33).
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 792 by 1, 792 ÷ 1 = 792.
Step 2: Continue dividing 792 by the numbers until the remainder becomes 0.
792 ÷ 1 = 792
792 ÷ 2 = 396
792 ÷ 3 = 264
792 ÷ 4 = 198
792 ÷ 6 = 132
792 ÷ 8 = 99
792 ÷ 9 = 88
792 ÷ 11 = 72
792 ÷ 12 = 66
792 ÷ 18 = 44
792 ÷ 22 = 36
792 ÷ 24 = 33
Therefore, the factors of 792 are: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.
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 792 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
792 ÷ 2 = 396
396 ÷ 2 = 198
198 ÷ 2 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
The prime factors of 792 are 2, 3, and 11.
The prime factorization of 792 is: 23 × 32 × 11.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 792 is divided by 2 to get 396.
Step 2: Now divide 396 by 2 to get 198.
Step 3: Then divide 198 by 2 to get 99.
Step 4: Divide 99 by 3 to get 33.
Step 5: Divide 33 by 3 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 792 is: 23 × 32 × 11.
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 792: (1, 792), (2, 396), (3, 264), (4, 198), (6, 132), (8, 99), (9, 88), (11, 72), (12, 66), (18, 44), (22, 36), (24, 33).
Negative factor pairs of 792: (-1, -792), (-2, -396), (-3, -264), (-4, -198), (-6, -132), (-8, -99), (-9, -88), (-11, -72), (-12, -66), (-18, -44), (-22, -36), (-24, -33).
Common Mistakes and How to Avoid Them in Factors of 792
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 792, 1 and 792 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 792 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 792/1.5 = 528, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 792 are prime numbers.
For example, 2, 3, and 11 are the prime factors of 792, but it has other factors like 4, 8, 9, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 792 as 23 × 32 × 11 and missing all the key factors.
Factors of 792 Examples
Problem 1
There are 9 students and 792 pages. How will they divide it equally?
They will get 88 pages each.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
792/9 = 88
Problem 2
A rectangular garden has a length of 22 meters and a total area of 792 square meters. Find the width.
36 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
792 = 22 × width
To find the value of width, we need to shift 22 to the left side.
792/22 = width
Width = 36.
Problem 3
There are 33 gift bags and 792 candies. How many candies will be in each bag?
Each bag will have 24 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
792/33 = 24
Problem 4
In a class, there are 72 students, and 11 groups. How many students are there in each group?
There are 6 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
72/11 = 6.545, rounded down = 6 (since only whole students can be in a group)
Problem 5
792 apples need to be packed in 12 boxes. How many apples will go in each box?
Each of the boxes has 66 apples.
Explanation
Divide total apples by boxes.
792/12 = 66
FAQs on Factors of 792
1.What are the factors of 792?
2.Mention the prime factors of 792.
3.Is 792 a multiple of 4?
4.Mention the factor pairs of 792?
5.What is the square of 792?
6.How can children in India use numbers in everyday life to understand Factors of 792?
7.What are some fun ways kids in India can practice Factors of 792 with numbers?
8.What role do numbers and Factors of 792 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 792 skills?
Important Glossaries for Factors of 792
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 792 are 1, 2, 3, and so on.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 11 are prime factors of 792.
- 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 792 are (1, 792), (2, 396), etc.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the target number.
- Division method: A method used to find factors by dividing the target number by whole numbers until the remainder is zero.
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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.
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