103 LearnersLast updated on May 26th, 2025
Factors of -69
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 -69, how they are used in real life, and tips to learn them quickly.
What are the Factors of -69?
The numbers that divide -69 evenly are known as factors of -69.
A factor of -69 is a number that divides the number without a remainder.
The factors of -69 are 1, 3, 23, and 69.
Negative factors of -69: -1, -3, -23, and -69.
Prime factors of -69: 3 and 23.
Prime factorization of -69: -1 × 3 × 23.
The sum of factors of -69: 1 + 3 + 23 + 69 = 96
How to Find Factors of -69?
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 -69. Identifying the numbers which are multiplied to get the number -69 is the multiplication method.
Step 1: Multiply -69 by -1, -69 × -1 = 69.
Step 2: Check for other numbers that give -69 after multiplying:
-1 × 69 = -69
-3 × 23 = -69
Therefore, the positive factor pairs of -69 are: (-1, 69), (-3, 23).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide -69 by -1, -69 ÷ -1 = 69.
Step 2: Continue dividing -69 by the numbers until the remainder becomes 0.
-69 ÷ -1 = 69
-69 ÷ -3 = 23
-69 ÷ -23 = 3
-69 ÷ -69 = 1
Therefore, the factors of -69 are: 1, 3, 23, 69.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 -69 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
-69 ÷ -1 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
The prime factors of -69 are 3 and 23.
The prime factorization of -69 is: -1 × 3 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, -69 is divided by -1 to get 69.
Step 2: Now divide 69 by 3 to get 23.
Step 3: Divide 23 by 23 to get 1. Here, 23 is a prime number, that cannot be divided anymore. So, the prime factorization of -69 is: -1 × 3 × 23.
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 -69: (-1, 69), (-3, 23).
Negative factor pairs of -69: (1, -69), (3, -23).
Common Mistakes and How to Avoid Them in Factors of -69
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -69, 1 and -69 are also factors.
Factors of -69 Examples
Problem 1
There are 3 people and -69 apples. How will they divide it equally?
They will get -23 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people.
-69/3 = -23
Problem 2
A field is rectangular, the length of the field is 3 meters, and the total area is -69 square meters. Find the width?
-23 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width -69 = 3 × width
To find the value of width, we need to solve the equation.
-69/3 = width
Width = -23.
Problem 3
There are 23 boxes and -69 marbles. How many marbles will be in each box?
Each box will have -3 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
-69/23 = -3
Problem 4
In a class, there are -69 students, and 69 groups. How many students are there in each group?
There is 1 student in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
-69/69 = -1
Problem 5
-69 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has -23 books.
Explanation
Divide the total books by the number of shelves.
-69/3 = -23
FAQs on Factors of -69
1.What are the factors of -69?
2.Mention the prime factors of -69.
3.Is -69 a multiple of 3?
4.Mention the factor pairs of -69?
5.What is the square of -69?
6.How can children in Bahrain use numbers in everyday life to understand Factors of -69?
7.What are some fun ways kids in Bahrain can practice Factors of -69 with numbers?
8.What role do numbers and Factors of -69 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of -69 skills?
Important Glossaries for Factor of -69
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -69 are 1, 3, 23, and 69.
- Prime factors: The factors which are prime numbers. For example, 3 and 23 are prime factors of -69.
- 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 -69 are (-1, 69), (-3, 23).
- Negative factors: The negative counterparts of the positive factors. For example, -1, -3, -23, and -69 are negative factors of -69.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of -69 is -1 × 3 × 23.
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About BrightChamps in Bahrain
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.
