102 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: 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 3 × 23 = 69 Therefore, the positive factor pairs of 69 are: (1, 69) and (3, 23). All these factor pairs result in 69. 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 that 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 Therefore, the factors of 69 are: 1, 3, 23, 69.
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 69 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 69 ÷ 3 = 23 23 ÷ 23 = 1 The prime factors of 69 are 3 and 23. The prime factorization of 69 is: 3 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 69 is divided by 3 to get 23. Step 2: Now divide 23 by 23 to get 1. Here, 23 is a prime number that cannot be divided further. So, the prime factorization of 69 is: 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) and (3, 23). Negative factor pairs of 69: (-1, -69) and (-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
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 69, 1 and 69 are also factors.
Factors of 69 Examples
Problem 1
A class of 69 students needs to be divided into 3 equal groups. How many students will be in each group?
There will be 23 students in each group.
Explanation
To divide the students equally, we need to divide the total students by the number of groups. 69/3 = 23
Problem 2
A garden is rectangular, with a length of 3 meters and a total area of 69 square meters. Find the width.
23 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 69 = 3 × width To find the value of width, we need to shift 3 to the left side. 69/3 = width Width = 23.
Problem 3
There are 69 apples to be stored in 23 baskets. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets. 69/23 = 3
Problem 4
A work project requires 69 hours and is split among 23 workers. How many hours will each worker contribute?
Each worker will contribute 3 hours.
Explanation
Dividing the total hours by the total workers, we will get the number of hours each worker contributes. 69/23 = 3
Problem 5
69 chairs need to be arranged in 3 rows. How many chairs will go in each row?
Each row will have 23 chairs.
Explanation
Divide the total chairs by the number of rows. 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 United States use numbers in everyday life to understand Factors of 69?
7.What are some fun ways kids in United States can practice Factors of 69 with numbers?
8.What role do numbers and Factors of 69 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 69 skills?
Important Glossaries for Factors 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) and (3, 23). Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 69 is 3 × 23. Multiple: A number that can be divided by another number without a remainder. For example, 69 is a multiple of 3.
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About BrightChamps in United States
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.
