Last updated on May 26th, 2025
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.
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.
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 9 students and 792 pages. How will they divide it equally?
They will get 88 pages each.
To divide the pages equally, we need to divide the total pages by the number of students.
792/9 = 88
A rectangular garden has a length of 22 meters and a total area of 792 square meters. Find the width.
36 meters.
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.
There are 33 gift bags and 792 candies. How many candies will be in each bag?
Each bag will have 24 candies.
To find the candies in each bag, divide the total candies by the bags.
792/33 = 24
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.
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)
792 apples need to be packed in 12 boxes. How many apples will go in each box?
Each of the boxes has 66 apples.
Divide total apples by boxes.
792/12 = 66
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.
: She loves to read number jokes and games.