121 LearnersLast updated on May 26th, 2025
Factors of 1669
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 1669, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1669?
The numbers that divide 1669 evenly are known as factors of 1669.
A factor of 1669 is a number that divides the number without remainder.
The factors of 1669 are 1 and 1669.
Negative factors of 1669: -1 and -1669.
Prime factors of 1669: 1669 (since it is a prime number).
Prime factorization of 1669: 1669.
The sum of factors of 1669: 1 + 1669 = 1670
How to Find Factors of 1669?
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 pairs of numbers that are multiplied to give 1669. Since 1669 is a prime number, the only multiplication pair is:
Step 1: Multiply 1669 by 1, 1669 × 1 = 1669.
Therefore, the positive factor pair of 1669 is: (1, 1669).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 the simple division method
Step 1: Divide 1669 by 1, 1669 ÷ 1 = 1669.
Since 1669 is a prime number, it is only divisible by 1 and itself.
Therefore, the factors of 1669 are: 1 and 1669.
Prime Factors and Prime Factorization
Factors can be found by dividing 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 1669 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 1669 is a prime number, it cannot be broken down further.
The prime factorization of 1669 is: 1669.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1669 is a prime number, the factor tree is simple: 1669 is not divisible by any other number except 1 and 1669 itself.
So, the prime factorization of 1669 is: 1669.
Common Mistakes and How to Avoid Them in Factors of 1669
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 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 1669, 1 and 1669 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1669 consist of -1 and -1669.
Mistake 3
Including the Fraction
Sometimes fractions are mistakenly included as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 1669/2.5 = 667.6, which is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all factors of 1669 are prime numbers is incorrect, but 1669 itself is a prime number.
Mistake 5
Mistake in Factorization
Skipping steps in factorization might lead to wrong conclusions.
For instance, not recognizing 1669 as a prime number and incorrectly attempting further factorization.
Factors of 1669 Examples
Problem 1
There are 1669 apples to be packed equally in boxes, and there is only 1 box available. How many apples will go in the box?
All 1669 apples will go in the single box.
Explanation
Since only one box is available, all apples will be packed in it.
1669/1 = 1669
Problem 2
A bridge is 1669 meters long and only one car can cross at a time. How many meters will a single car travel to cross the bridge?
A single car will travel 1669 meters.
Explanation
Each car must travel the full length of the bridge.
1669 meters.
Problem 3
You have a 1669-page book, and you want to read the entire book in 1 day. How many pages will you read each day?
You will read 1669 pages in one day.
Explanation
Since you plan to read the entire book in one day, you will read all 1669 pages.
1669/1 = 1669
Problem 4
A field is rectangular, the length of the field is 1669 meters and the width is 1 meter. What is the area of the field?
The area is 1669 square meters.
Explanation
To find the area of the field, use the formula: Area = length × width
1669 × 1 = 1669 square meters.
Problem 5
There are 1669 students in a school, and each student gets 1 badge. How many badges are needed?
1669 badges are needed.
Explanation
Each student receives one badge, so the total is equal to the number of students.
1669/1 = 1669
FAQs on Factors of 1669
1.What are the factors of 1669?
2.Mention the prime factors of 1669.
3.Is 1669 a multiple of 3?
4.Mention the factor pair of 1669.
5.Is 1669 a prime number?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1669?
7.What are some fun ways kids in Philippines can practice Factors of 1669 with numbers?
8.What role do numbers and Factors of 1669 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1669 skills?
Important Glossaries for Factors of 1669
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1669 are 1 and 1669.
- Prime factors: The factors which are prime numbers. For example, 1669 is a prime factor of itself.
- Prime number: A number that has no divisors other than 1 and itself. For example, 1669 is a prime number.
- Factor pair: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1669 is (1, 1669).
- Composite number: A number that has more than two factors. Since 1669 only has two factors, it is not a composite number.
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About BrightChamps in Philippines
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.
