101 LearnersLast updated on May 26th, 2025
Factors of 669
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 669, how they are used in real life, and tips to learn them quickly.
What are the Factors of 669?
The numbers that divide 669 evenly are known as factors of 669.
A factor of 669 is a number that divides the number without remainder.
The factors of 669 are 1, 3, 223, and 669.
Negative factors of 669: -1, -3, -223, and -669.
Prime factors of 669: 3 and 223.
Prime factorization of 669: 3 × 223.
The sum of factors of 669: 1 + 3 + 223 + 669 = 896
How to Find Factors of 669?
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 669. Identifying the numbers which are multiplied to get the number 669 is the multiplication method.
Step 1: Multiply 669 by 1, 669 × 1 = 669.
Step 2: Check for other numbers that give 669 after multiplying
3 × 223 = 669
Therefore, the positive factor pairs of 669 are: (1, 669) and (3, 223).
All these factor pairs result in 669.
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 669 by 1, 669 ÷ 1 = 669.
Step 2: Continue dividing 669 by the numbers until the remainder becomes 0.
669 ÷ 1 = 669
669 ÷ 3 = 223
Therefore, the factors of 669 are: 1, 3, 223, 669.
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 669 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
669 ÷ 3 = 223
223 is a prime number and cannot be divided further.
The prime factors of 669 are 3 and 223.
The prime factorization of 669 is: 3 × 223.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 669 is divided by 3 to get 223.
Step 2: 223 is a prime number and cannot be divided further. So, the prime factorization of 669 is: 3 × 223.
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 669: (1, 669) and (3, 223).
Negative factor pairs of 669: (-1, -669) and (-3, -223).
Common Mistakes and How to Avoid Them in Factors of 669
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 669, 1 and 669 are also factors.
Factors of 669 Examples
Problem 1
There are 3 teams and 669 apples. How will they divide them equally among the teams?
Each team will get 223 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
669/3 = 223
Problem 2
A garden is rectangular, the width of the garden is 3 meters, and the total area is 669 square meters. Find the length.
223 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width 669 = length × 3
To find the value of the length, we need to shift 3 to the left side.
669/3 = length
Length = 223.
Problem 3
There are 669 chocolates and 223 gift bags. How many chocolates will be in each bag?
Each bag will have 3 chocolates.
Explanation
To find the chocolates in each bag, divide the total chocolates by the number of bags.
669/223 = 3
Problem 4
In a school, there are 669 students, and 1 group. How many students are there in the group?
There are 669 students in the group.
Explanation
Dividing the students by the total number of groups, we will get the number of students in each group.
669/1 = 669
Problem 5
669 books need to be arranged in 3 bookshelves. How many books will go on each shelf?
Each of the shelves has 223 books.
Explanation
Divide the total books by the number of shelves.
669/3 = 223
FAQs on Factors of 669
1.What are the factors of 669?
2.Mention the prime factors of 669.
3.Is 669 a multiple of 3?
4.Mention the factor pairs of 669?
5.What is the square of 669?
Important Glossaries for Factor of 669
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 669 are 1, 3, 223, and 669.
- Prime factors: The factors which are prime numbers. For example, 3 and 223 are prime factors of 669.
- 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 669 are (1, 669) and (3, 223).
- Prime factorization: Expressing a number as a product of its prime factors. For example, 669 is 3 × 223.
- Multiples: The result of multiplying a number by an integer. For example, 669 is a multiple of 3.
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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.
