100 LearnersLast updated on May 26th, 2025
Factors of 346
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 346, how they are used in real life, and tips to learn them quickly.
What are the Factors of 346?
The numbers that divide 346 evenly are known as factors of 346.
A factor of 346 is a number that divides the number without remainder.
The factors of 346 are 1, 2, 173, and 346.
Negative factors of 346: -1, -2, -173, and -346.
Prime factors of 346: 2 and 173.
Prime factorization of 346: 2 × 173.
The sum of factors of 346: 1 + 2 + 173 + 346 = 522
How to Find Factors of 346?
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 346. Identifying the numbers that are multiplied to get the number 346 is the multiplication method.
Step 1: Multiply 346 by 1, 346 × 1 = 346.
Step 2: Check for other numbers that give 346 after multiplying 2 × 173 = 346
Therefore, the positive factor pairs of 346 are: (1, 346) and (2, 173).
All these factor pairs result in 346.
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 346 by 1, 346 ÷ 1 = 346.
Step 2: Continue dividing 346 by the numbers until the remainder becomes 0.
346 ÷ 1 = 346
346 ÷ 2 = 173
Therefore, the factors of 346 are: 1, 2, 173, 346.
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 346 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
346 ÷ 2 = 173
173 ÷ 173 = 1
The prime factors of 346 are 2 and 173.
The prime factorization of 346 is: 2 × 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, 346 is divided by 2 to get 173. Here, 173 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 346 is: 2 × 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 346: (1, 346) and (2, 173).
Negative factor pairs of 346: (-1, -346) and (-2, -173).
Common Mistakes and How to Avoid Them in Factors of 346
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 factors for every whole number. Always remember to include 1 and the number itself.
For example, in factors of 346, 1 and 346 are also factors.
Factors of 346 Examples
Problem 1
There are 346 apples and 2 baskets. How will they divide them equally?
They will get 173 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
346/2 = 173
Problem 2
A rectangular plot has a length of 173 meters and a total area of 346 square meters. Find the width.
2 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
346 = 173 × width
To find the value of width, we need to shift 173 to the left side.
346/173 = width Width = 2.
Problem 3
There are 173 boxes and 346 toys. How many toys will be in each box?
Each box will have 2 toys.
Explanation
To find the toys in each box, divide the total toys with the boxes.
346/173 = 2
Problem 4
In a class, there are 346 students, and 173 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
346/173 = 2
Problem 5
346 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 173 books.
Explanation
Divide total books with shelves.
346/2 = 173
FAQs on Factors of 346
1.What are the factors of 346?
2.Mention the prime factors of 346.
3.Is 346 a multiple of 173?
4.Mention the factor pairs of 346?
5.What is the square of 346?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 346?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 346 with numbers?
8.What role do numbers and Factors of 346 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 346 skills?
Important Glossaries for Factor of 346
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 346 are 1, 2, 173, and 346.
- Prime factors: The factors which are prime numbers. For example, 2 and 173 are prime factors of 346.
- 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 346 are (1, 346) and (2, 173).
- Multiplication method: A method to find factors by identifying number pairs that multiply to the target number.
- Division method: A method to find factors by dividing the number by integers to see if they result in a whole number.
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About BrightChamps in Saudi Arabia
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.
