Last updated on May 30th, 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 1216, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1216 evenly are known as factors of 1216.
A factor of 1216 is a number that divides the number without remainder.
The factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608, and 1216.
Negative factors of 1216: -1, -2, -4, -8, -16, -19, -32, -38, -76, -152, -304, -608, and -1216.
Prime factors of 1216: 2 and 19. Prime factorization of 1216: 24 × 19.
The sum of factors of 1216: 1 + 2 + 4 + 8 + 16 + 19 + 32 + 38 + 76 + 152 + 304 + 608 + 1216 = 2476
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 1216. Identifying the numbers which are multiplied to get the number 1216 is the multiplication method.
Step 1: Multiply 1216 by 1, 1216 × 1 = 1216.
Step 2: Check for other numbers that give 1216 after multiplying
2 × 608 = 1216
4 × 304 = 1216
8 × 152 = 1216
16 × 76 = 1216
19 × 64 = 1216
Therefore, the positive factor pairs of 1216 are: (1, 1216), (2, 608), (4, 304), (8, 152), (16, 76), (19, 64). All these factor pairs result in 1216. For every positive factor, there is a negative factor.
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 1216 by 1, 1216 ÷ 1 = 1216.
Step 2: Continue dividing 1216 by the numbers until the remainder becomes 0.
1216 ÷ 1 = 1216
1216 ÷ 2 = 608
1216 ÷ 4 = 304
1216 ÷ 8 = 152
1216 ÷ 16 = 76
1216 ÷ 19 = 64
Therefore, the factors of 1216 are: 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608, 1216.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1216 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1216 ÷ 2 = 608
608 ÷ 2 = 304
304 ÷ 2 = 152
152 ÷ 2 = 76
76 ÷ 2 = 38
38 ÷ 2 = 19
19 ÷ 19 = 1
The prime factors of 1216 are 2 and 19.
The prime factorization of 1216 is: 26 × 19.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1216 is divided by 2 to get 608.
Step 2: Now divide 608 by 2 to get 304.
Step 3: Then divide 304 by 2 to get 152.
Step 4: Divide 152 by 2 to get 76.
Step 5: Divide 76 by 2 to get 38.
Step 6: Divide 38 by 2 to get 19. Here, 19 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1216 is: 26 × 19.
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 1216: (1, 1216), (2, 608), (4, 304), (8, 152), (16, 76), and (19, 64).
Negative factor pairs of 1216: (-1, -1216), (-2, -608), (-4, -304), (-8, -152), (-16, -76), and (-19, -64).
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 16 workers and 1216 bricks. How will they divide them equally?
They will get 76 bricks each.
To divide the bricks equally, we need to divide the total bricks by the number of workers.
1216/16 = 76
A garden is rectangular, the length of the garden is 19 meters, and the total area is 1216 square meters. Find the width?
64 meters.
To find the width of the garden, we use the formula, Area = length × width
1216 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1216/19 = width
Width = 64.
There are 32 bags and 1216 apples. How many apples will be in each bag?
Each bag will have 38 apples.
To find the apples in each bag, divide the total apples by the bags.
1216/32 = 38
In a class, there are 152 students, and 8 groups. How many students are there in each group?
There are 19 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
152/8 = 19
1216 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 64 books.
Divide total books by shelves.
1216/19 = 64
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.