101 LearnersLast updated on May 26th, 2025
Factors of 2016
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 2016, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2016?
The numbers that divide 2016 evenly are known as factors of 2016.
A factor of 2016 is a number that divides the number without remainder.
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 288, 336, 504, 672, 1008, and 2016.
Negative factors of 2016: -1, -2, -3, -4, -6, -7, -8, -9, -12, -14, -16, -18, -21, -24, -28, -32, -36, -42, -48, -56, -63, -72, -84, -112, -126, -144, -168, -252, -288, -336, -504, -672, -1008, and -2016.
Prime factors of 2016: 2, 3, and 7.
Prime factorization of 2016: 25 × 32 × 7.
The sum of factors of 2016: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 28 + 32 + 36 + 42 + 48 + 56 + 63 + 72 + 84 + 112 + 126 + 144 + 168 + 252 + 288 + 336 + 504 + 672 + 1008 + 2016 = 6552
How to Find Factors of 2016?
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 2016. Identifying the numbers which are multiplied to get the number 2016 is the multiplication method.
Step 1: Multiply 2016 by 1, 2016 × 1 = 2016.
Step 2: Check for other numbers that give 2016 after multiplying
2 × 1008 = 2016
3 × 672 = 2016
4 × 504 = 2016
6 × 336 = 2016
7 × 288 = 2016
8 × 252 = 2016
9 × 224 = 2016
12 × 168 = 2016
14 × 144 = 2016
16 × 126 = 2016
18 × 112 = 2016
21 × 96 = 2016
24 × 84 = 2016
28 × 72 = 2016
32 × 63 = 2016
36 × 56 = 2016
42 × 48 = 2016
Therefore, the positive factor pairs of 2016 are: (1, 2016), (2, 1008), (3, 672), (4, 504), (6, 336), (7, 288), (8, 252), (9, 224), (12, 168), (14, 144), (16, 126), (18, 112), (21, 96), (24, 84), (28, 72), (32, 63), (36, 56), (42, 48).
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 2016 by 1, 2016 ÷ 1 = 2016.
Step 2: Continue dividing 2016 by the numbers until the remainder becomes 0.
2016 ÷ 1 = 2016
2016 ÷ 2 = 1008
2016 ÷ 3 = 672
2016 ÷ 4 = 504
2016 ÷ 6 = 336
2016 ÷ 7 = 288
2016 ÷ 8 = 252
2016 ÷ 9 = 224
2016 ÷ 12 = 168
2016 ÷ 14 = 144
2016 ÷ 16 = 126
2016 ÷ 18 = 112
2016 ÷ 21 = 96
2016 ÷ 24 = 84
2016 ÷ 28 = 72
2016 ÷ 32 = 63
2016 ÷ 36 = 56
2016 ÷ 42 = 48
Therefore, the factors of 2016 are: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 288, 336, 504, 672, 1008, 2016.
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 2016 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2016 ÷ 2 = 1008
1008 ÷ 2 = 504
504 ÷ 2 = 252
252 ÷ 2 = 126
126 ÷ 2 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
The prime factors of 2016 are 2, 3, and 7.
The prime factorization of 2016 is: 25 × 32 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2016 is divided by 2 to get 1008.
Step 2: Now divide 1008 by 2 to get 504.
Step 3: Then divide 504 by 2 to get 252.
Step 4: Divide 252 by 2 to get 126.
Step 5: Divide 126 by 2 to get 63.
Step 6: Divide 63 by 3 to get 21.
Step 7: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2016 is: 25 × 32 × 7.
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 2016: (1, 2016), (2, 1008), (3, 672), (4, 504), (6, 336), (7, 288), (8, 252), (9, 224), (12, 168), (14, 144), (16, 126), (18, 112), (21, 96), (24, 84), (28, 72), (32, 63), (36, 56), (42, 48).
Negative factor pairs of 2016: (-1, -2016), (-2, -1008), (-3, -672), (-4, -504), (-6, -336), (-7, -288), (-8, -252), (-9, -224), (-12, -168), (-14, -144), (-16, -126), (-18, -112), (-21, -96), (-24, -84), (-28, -72), (-32, -63), (-36, -56), (-42, -48).
Common Mistakes and How to Avoid Them in Factors of 2016
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 2016, 1 and 2016 is also a factor.
Factors of 2016 Examples
Problem 1
There are 36 participants and 2016 pieces of candy. How will they distribute it equally?
They will get 56 pieces of candy each.
Explanation
To distribute the candy equally, we need to divide the total pieces of candy by the number of participants.
2016/36 = 56
Problem 2
A rectangular garden has a length of 42 meters, and the total area is 2016 square meters. Find the width.
48 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2016 = 42 × width
To find the value of the width, we need to shift 42 to the left side.
2016/42 = width
Width = 48.
Problem 3
There are 84 seats and 2016 tickets. How many tickets will be allocated per seat?
Each seat will have 24 tickets.
Explanation
To find the tickets per seat, divide the total tickets by the seats.
2016/84 = 24
Problem 4
In a conference, there are 252 attendees, and there are 8 groups. How many attendees are there in each group?
There are 31 attendees in each group.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group.
252/8 = 31.5
Since 31.5 is not a whole number, this division is not feasible with whole numbers.
Problem 5
2016 pages need to be divided into 18 chapters. How many pages will go in each chapter?
Each chapter will have 112 pages.
Explanation
Divide total pages by chapters.
2016/18 = 112
FAQs on Factors of 2016
1.What are the factors of 2016?
2.Mention the prime factors of 2016.
3.Is 2016 a multiple of 9?
4.Mention the factor pairs of 2016?
5.What is the square of 2016?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2016?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2016 with numbers?
8.What role do numbers and Factors of 2016 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 2016 skills?
Important Glossaries for Factors of 2016
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2016 are 1, 2, 3, 4, 6, 7, ... , 1008, 2016.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of 2016.
- 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 2016 are (1, 2016), (2, 1008), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 2016 is 25 × 32 × 7.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 2016 is a multiple of 9.
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About BrightChamps in United Arab Emirates
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.
Fun Fact
: She loves to read number jokes and games.
