101 LearnersLast updated on May 26th, 2025
Factors of 692
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 692, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 692?
The numbers that divide 692 evenly are known as factors of 692.
A factor of 692 is a number that divides the number without remainder.
The factors of 692 are 1, 2, 4, 173, 346, and 692.
Negative factors of 692: -1, -2, -4, -173, -346, and -692.
Prime factors of 692: 2 and 173.
Prime factorization of 692: 2² × 173.
The sum of factors of 692: 1 + 2 + 4 + 173 + 346 + 692 = 1218
How to Find Factors of 692?
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 692. Identifying the numbers which are multiplied to get the number 692 is the multiplication method.
Step 1: Multiply 692 by 1, 692 × 1 = 692.
Step 2: Check for other numbers that give 692 after multiplying
2 × 346 = 692
4 × 173 = 692
Therefore, the positive factor pairs of 692 are: (1, 692), (2, 346), (4, 173).
All these factor pairs result in 692.
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 the simple division method
Step 1: Divide 692 by 1, 692 ÷ 1 = 692.
Step 2: Continue dividing 692 by the numbers until the remainder becomes 0.
692 ÷ 1 = 692
692 ÷ 2 = 346
692 ÷ 4 = 173
Therefore, the factors of 692 are: 1, 2, 4, 173, 346, 692.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 692 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
692 ÷ 2 = 346
346 ÷ 2 = 173
173 ÷ 173 = 1
The prime factors of 692 are 2 and 173.
The prime factorization of 692 is: 2² × 173.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 692 is divided by 2 to get 346.
Step 2: Now divide 346 by 2 to get 173.
Step 3: Here, 173 is a prime number and cannot be divided further. So, the prime factorization of 692 is: 2² × 173.
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 692: (1, 692), (2, 346), and (4, 173).
Negative factor pairs of 692: (-1, -692), (-2, -346), and (-4, -173).
Common Mistakes and How to Avoid Them in Factors of 692
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 692, 1 and 692 are also factors.
Factors of 692 Examples
Problem 1
There are 4 teachers and 692 notebooks. How will they distribute them equally?
They will get 173 notebooks each.
Explanation
To divide the notebooks equally, we need to divide the total notebooks with the number of teachers.
692/4 = 173
Problem 2
A rectangular garden has a length of 4 meters and a total area of 692 square meters. Find the width?
173 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
692 = 4 × width
To find the value of width, we need to shift 4 to the left side.
692/4 = width
Width = 173.
Problem 3
There are 173 boxes and 692 apples. How many apples will be in each box?
Each box will have 4 apples.
Explanation
To find the apples in each box, divide the total apples with the boxes.
692/173 = 4
Problem 4
A school has 692 students, and they are divided into 346 pairs. How many students are there in each pair?
There are 2 students in each pair.
Explanation
Dividing the students with the total pairs, we will get the number of students in each pair.
692/346 = 2
Problem 5
692 pages need to be arranged in 173 folders. How many pages will go in each folder?
Each of the folders will have 4 pages.
Explanation
Divide the total pages with folders.
692/173 = 4
FAQs on Factors of 692
1.What are the factors of 692?
2.Mention the prime factors of 692.
3.Is 692 a multiple of 4?
4.Mention the factor pairs of 692?
5.What is the square of 692?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 692?
7.What are some fun ways kids in Indonesia can practice Factors of 692 with numbers?
8.What role do numbers and Factors of 692 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 692 skills?
Important Glossaries for Factors of 692
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 692 are 1, 2, 4, 173, 346, and 692.
- Prime factors: The factors which are prime numbers. For example, 2 and 173 are prime factors of 692.
- 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 692 are (1, 692), (2, 346), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 692 is 2² × 173.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to the target number. For example, using the multiplication method for 692 gives pairs like (2, 346).
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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
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