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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1056, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1056 evenly are known as factors of 1056.
A factor of 1056 is a number that divides the number without remainder.
The factors of 1056 are 1, 2, 3, 4, 6, 8, 12, 16, 22, 24, 32, 44, 48, 66, 88, 132, 176, 264, 352, 528, and 1056.
Negative factors of 1056: -1, -2, -3, -4, -6, -8, -12, -16, -22, -24, -32, -44, -48, -66, -88, -132, -176, -264, -352, -528, and -1056.
Prime factors of 1056: 2 and 3.
Prime factorization of 1056: 25 × 3 × 11.
The sum of factors of 1056: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 22 + 24 + 32 + 44 + 48 + 66 + 88 + 132 + 176 + 264 + 352 + 528 + 1056 = 3456
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 1056. Identifying the numbers which are multiplied to get the number 1056 is the multiplication method.
Step 1: Multiply 1056 by 1, 1056 × 1 = 1056.
Step 2: Check for other numbers that give 1056 after multiplying
2 × 528 = 1056
3 × 352 = 1056
4 × 264 = 1056
6 × 176 = 1056
8 × 132 = 1056
11 × 96 = 1056
16 × 66 = 1056
22 × 48 = 1056
24 × 44 = 1056
32 × 33 = 1056
Therefore, the positive factor pairs of 1056 are: (1, 1056), (2, 528), (3, 352), (4, 264), (6, 176), (8, 132), (11, 96), (16, 66), (22, 48), (24, 44), and (32, 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 1056 by 1, 1056 ÷ 1 = 1056.
Step 2: Continue dividing 1056 by the numbers until the remainder becomes 0.
1056 ÷ 1 = 1056
1056 ÷ 2 = 528
1056 ÷ 3 = 352
1056 ÷ 4 = 264
1056 ÷ 6 = 176
1056 ÷ 8 = 132
1056 ÷ 11 = 96
1056 ÷ 16 = 66
1056 ÷ 22 = 48
1056 ÷ 24 = 44
1056 ÷ 32 = 33
Therefore, the factors of 1056 are: 1, 2, 3, 4, 6, 8, 11, 16, 22, 24, 32, 33, 44, 48, 66, 88, 132, 176, 264, 352, 528, and 1056.
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 1056 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1056 ÷ 2 = 528
528 ÷ 2 = 264
264 ÷ 2 = 132
132 ÷ 2 = 66
66 ÷ 2 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
The prime factors of 1056 are 2, 3, and 11.
The prime factorization of 1056 is: 25 × 3 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1056 is divided by 2 to get 528.
Step 2: Now divide 528 by 2 to get 264.
Step 3: Then divide 264 by 2 to get 132.
Step 4: Divide 132 by 2 to get 66.
Step 5: Divide 66 by 2 to get 33.
Step 6: Divide 33 by 3 to get 11.
Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1056 is: 25 × 3 × 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 1056: (1, 1056), (2, 528), (3, 352), (4, 264), (6, 176), (8, 132), (11, 96), (16, 66), (22, 48), (24, 44), and (32, 33).
Negative factor pairs of 1056: (-1, -1056), (-2, -528), (-3, -352), (-4, -264), (-6, -176), (-8, -132), (-11, -96), (-16, -66), (-22, -48), (-24, -44), and (-32, -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 22 friends and 1056 candies. How will they divide it equally?
They will get 48 candies each.
To divide the candies equally, we need to divide the total candies with the number of friends.
1056/22 = 48
A field is rectangular, the length of the field is 32 meters and the total area is 1056 square meters. Find the width?
33 meters.
To find the width of the field, we use the formula,
Area = length × width
1056 = 32 × width
To find the value of width, we need to shift 32 to the left side.
1056/32 = width
Width = 33.
There are 66 bags and 1056 candies. How many candies will be in each bag?
Each bag will have 16 candies.
To find the candies in each bag, divide the total candies with the bags.
1056/66 = 16
In a class, there are 1056 students, and 88 groups. How many students are there in each group?
There are 12 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1056/88 = 12
1056 books need to be arranged in 44 shelves. How many books will go on each shelf?
Each of the shelves has 24 books.
Divide total books with shelves. 1056/44 = 24
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.