100 LearnersLast updated on May 26th, 2025
Factors of 1667
Factors are the numbers that divide any given number evenly without a 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 1667, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1667?
The numbers that divide 1667 evenly are known as factors of 1667. A factor of 1667 is a number that divides the number without a remainder. Since 1667 is a prime number, its only factors are 1 and 1667. Negative factors of 1667: -1 and -1667. Prime factors of 1667: 1667. Prime factorization of 1667: 1667 × 1. The sum of factors of 1667: 1 + 1667 = 1668
How to Find Factors of 1667?
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 1667. Since 1667 is a prime number, the only multiplication that results in 1667 is: Step 1: Multiply 1667 by 1, 1667 × 1 = 1667. Therefore, the positive factor pair of 1667 is: (1, 1667). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1667 by 1, 1667 ÷ 1 = 1667. Step 2: Since 1667 is a prime number, it does not divide evenly by any other number except itself and 1. Therefore, the factors of 1667 are: 1 and 1667.
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 1667 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1. Since 1667 is a prime number, it cannot be broken down further. The prime factorization of 1667 is: 1667 × 1.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. For a prime number like 1667, the factor tree is quite simple: Step 1: Recognize 1667 as a prime number. Step 2: It cannot be divided further except by 1 and itself. So, the prime factorization of 1667 is: 1667 × 1. 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 pair of 1667: (1, 1667). Negative factor pair of 1667: (-1, -1667).
Common Mistakes and How to Avoid Them in Factors of 1667
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
People might forget to add the given number itself and 1 as factors. 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 1667, 1 and 1667 are also factors.
Factors of 1667 Examples
Problem 1
There are 3 friends and 1667 apples. How will they divide them equally?
They cannot divide the apples equally because 1667 is a prime number and not divisible by 3.
Explanation
1667 is a prime number, so it cannot be evenly divided by any number other than 1 and itself.
Problem 2
A rectangular plot has a length of 1 meter and a total area of 1667 square meters. Find the width.
1667 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width 1667 = 1 × width Width = 1667.
Problem 3
A museum has 1667 artifacts and 1 display case. How many artifacts will be in each case?
All 1667 artifacts will be in the single display case.
Explanation
1667/1 = 1667.
Problem 4
A library has 1667 books and 1667 shelves. How many books will be on each shelf?
Each shelf will have 1 book.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf. 1667/1667 = 1
Problem 5
1667 paintings need to be arranged in a single exhibition hall. How will they be arranged?
All 1667 paintings will be arranged in the hall.
Explanation
Since there is one hall, all paintings will be arranged together.
FAQs on Factors of 1667
1.What are the factors of 1667?
2.Mention the prime factors of 1667.
3.Is 1667 a multiple of any number other than 1 and 1667?
4.Mention the factor pair of 1667?
5.Is 1667 a prime number?
Important Glossaries for Factors of 1667
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1667 are 1 and 1667. Prime factors: The factors which are prime numbers. For example, 1667 is a prime factor of itself. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1667 is (1, 1667). Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1667 is a prime number. Division method: A method to find factors by dividing the number by integers to check for zero remainders.
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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.
