101 LearnersLast updated on May 26th, 2025
Factors of 1668
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 1668, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1668?
The numbers that divide 1668 evenly are known as factors of 1668. A factor of 1668 is a number that divides the number without remainder.
The factors of 1668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 186, 279, 334, 558, 837, and 1668.
Negative factors of 1668: -1, -2, -3, -4, -6, -9, -12, -18, -27, -31, -36, -54, -62, -93, -108, -186, -279, -334, -558, -837, and -1668.
Prime factors of 1668: 2, 3, and 31.
Prime factorization of 1668: 2 × 2 × 3 × 3 × 31 or (22 times 32 times 31).
The sum of factors of 1668: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 31 + 36 + 54 + 62 + 93 + 108 + 186 + 279 + 334 + 558 + 837 + 1668 = 4350
How to Find Factors of 1668?
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 1668. Identifying the numbers which are multiplied to get the number 1668 is the multiplication method.
Step 1: Multiply 1668 by 1, 1668 × 1 = 1668.
Step 2: Check for other numbers that give 1668 after multiplying
2 × 834 = 1668
3 × 556 = 1668
4 × 417 = 1668
6 × 278 = 1668
9 × 186 = 1668
12 × 139 = 1668
18 × 93 = 1668
27 × 62 = 1668
31 × 54 = 1668
36 × 46.333 = 1668
Therefore, the positive factor pairs of 1668 are: (1, 1668), (2, 834), (3, 556), (4, 417), (6, 278), (9, 186), (12, 139), (18, 93), (27, 62), (31, 54). All these factor pairs result in 1668.
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 the simple division method
Step 1: Divide 1668 by 1, 1668 ÷ 1 = 1668.
Step 2: Continue dividing 1668 by the numbers until the remainder becomes 0.
1668 ÷ 1 = 1668
1668 ÷ 2 = 834
1668 ÷ 3 = 556
1668 ÷ 4 = 417
1668 ÷ 6 = 278
1668 ÷ 9 = 186
1668 ÷ 12 = 139
1668 ÷ 18 = 93
1668 ÷ 27 = 62
1668 ÷ 31 = 54
Therefore, the factors of 1668 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 186, 279, 334, 558, 837, 1668.
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 1668 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1668 ÷ 2 = 834
834 ÷ 2 = 417
417 ÷ 3 = 139
139 ÷ 31 = 1
The prime factors of 1668 are 2, 3, and 31. The prime factorization of 1668 is: (22 times 3 times 31).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1668 is divided by 2 to get 834.
Step 2: Now divide 834 by 2 to get 417.
Step 3: Then divide 417 by 3 to get 139.
Step 4: Divide 139 by 31 to get 1. Here, 31 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1668 is: (22 times 3 times 31).
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 1668: (1, 1668), (2, 834), (3, 556), (4, 417), (6, 278), (9, 186), (12, 139), (18, 93), (27, 62), (31, 54).
Negative factor pairs of 1668: (-1, -1668), (-2, -834), (-3, -556), (-4, -417), (-6, -278), (-9, -186), (-12, -139), (-18, -93), (-27, -62), (-31, -54).
Common Mistakes and How to Avoid Them in Factors of 1668
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 1668, 1 and 1668 are also factors.
Factors of 1668 Examples
Problem 1
There are 9 teams and 1668 candies. How will they divide it equally?
They will get 186 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1668/9 = 186
Problem 2
A rectangular garden has a length of 18 meters and a total area of 1668 square meters. Find the width?
93 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1668 = 18 × width
To find the value of width, we need to shift 18 to the left side.
1668/18 = width
Width = 93.
Problem 3
There are 31 classes and 1668 students. How many students will be in each class?
Each class will have 54 students.
Explanation
To find the students in each class, divide the total students by the number of classes.
1668/31 = 54
Problem 4
In a company, there are 1668 employees, and 27 groups. How many employees are there in each group?
There are 62 employees in each group.
Explanation
Dividing the employees with the total groups, we will get the number of employees in each group.
1668/27 = 62
Problem 5
1668 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 278 books.
Explanation
Divide total books by shelves.
1668/6 = 278
FAQs on Factors of 1668
1.What are the factors of 1668?
2.Mention the prime factors of 1668.
3.Is 1668 a multiple of 9?
4.Mention the factor pairs of 1668?
5.What is the square of 1668?
Important Glossaries for Factor of 1668
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 186, 279, 334, 558, 837, 1668.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 31 are prime factors of 1668.
- 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 1668 are (1, 1668), (2, 834), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1668 is (22 times 3 times 31).
- Multiplication method: A method to find factor pairs by identifying two numbers that multiply to the given number. For example, 9 × 186 = 1668.
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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.
