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 816, how they are used in real life, and tips to learn them quickly.
The numbers that divide 816 evenly are known as factors of 816.
A factor of 816 is a number that divides the number without remainder.
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, and 816.
Negative factors of 816: -1, -2, -3, -4, -6, -8, -12, -17, -24, -34, -48, -51, -68, -102, -136, -204, -272, -408, and -816.
Prime factors of 816: 2, 3, and 17.
Prime factorization of 816: (24 times 3 times 17).
The sum of factors of 816: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 17 + 24 + 34 + 48 + 51 + 68 + 102 + 136 + 204 + 272 + 408 + 816 = 2214
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 816. Identifying the numbers which are multiplied to get the number 816 is the multiplication method.
Step 1: Multiply 816 by 1, 816 × 1 = 816.
Step 2: Check for other numbers that give 816 after multiplying
2 × 408 = 816
3 × 272 = 816
4 × 204 = 816
6 × 136 = 816
8 × 102 = 816
12 × 68 = 816
17 × 48 = 816
24 × 34 = 816
Therefore, the positive factor pairs of 816 are: (1, 816), (2, 408), (3, 272), (4, 204), (6, 136), (8, 102), (12, 68), (17, 48), (24, 34).
All these factor pairs result in 816.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 816 by 1, 816 ÷ 1 = 816.
Step 2: Continue dividing 816 by the numbers until the remainder becomes 0.
816 ÷ 1 = 816
816 ÷ 2 = 408
816 ÷ 3 = 272
816 ÷ 4 = 204
816 ÷ 6 = 136
816 ÷ 8 = 102
816 ÷ 12 = 68
816 ÷ 17 = 48
816 ÷ 24 = 34
Therefore, the factors of 816 are: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816.
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 816 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
816 ÷ 2 = 408
408 ÷ 2 = 204
204 ÷ 2 = 102
102 ÷ 2 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1
The prime factors of 816 are 2, 3, and 17.
The prime factorization of 816 is: (24 times 3 times 17).
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 816 is divided by 2 to get 408.
Step 2: Now divide 408 by 2 to get 204.
Step 3: Then divide 204 by 2 to get 102.
Step 4: Divide 102 by 2 to get 51.
Step 5: Divide 51 by 3 to get 17. Here, 17 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 816 is: (24 times 3 times 17).
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 816: (1, 816), (2, 408), (3, 272), (4, 204), (6, 136), (8, 102), (12, 68), (17, 48), and (24, 34).
Negative factor pairs of 816: (-1, -816), (-2, -408), (-3, -272), (-4, -204), (-6, -136), (-8, -102), (-12, -68), (-17, -48), and (-24, -34).
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 12 teams and 816 points in a tournament. How will they divide them equally?
They will get 68 points each.
To divide the points equally, we need to divide the total points by the number of teams.
816/12 = 68
A rectangular garden has a length of 24 meters and a total area of 816 square meters. What is the width?
34 meters.
To find the width of the garden, we use the formula, Area = length × width
816 = 24 × width
To find the value of width, we need to shift 24 to the left side.
816/24 = width
Width = 34.
There are 34 boxes and 816 apples. How many apples will be in each box?
Each box will have 24 apples.
To find the apples in each box, divide the total apples by the boxes.
816/34 = 24
In a class, there are 816 students, and 68 groups. How many students are there in each group?
There are 12 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
816/68 = 12
816 books need to be arranged in 136 shelves. How many books will go on each shelf?
Each of the shelves has 6 books.
Divide total books by shelves.
816/136 = 6
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.