101 LearnersLast updated on May 26th, 2025
Factors of 334
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 334, how they are used in real life, and tips to learn them quickly.
What are the Factors of 334?
The numbers that divide 334 evenly are known as factors of 334.
A factor of 334 is a number that divides the number without remainder.
The factors of 334 are 1, 2, 167, and 334.
Negative factors of 334: -1, -2, -167, and -334.
Prime factors of 334: 2 and 167.
Prime factorization of 334: 2 × 167.
The sum of factors of 334: 1 + 2 + 167 + 334 = 504
How to Find Factors of 334?
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 334. Identifying the numbers which are multiplied to get the number 334 is the multiplication method.
Step 1: Multiply 334 by 1, 334 × 1 = 334.
Step 2: Check for other numbers that give 334 after multiplying
2 × 167 = 334
Therefore, the positive factor pairs of 334 are: (1, 334) and (2, 167). All these factor pairs result in 334.
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 334 by 1, 334 ÷ 1 = 334.
Step 2: Continue dividing 334 by the numbers until the remainder becomes 0.
334 ÷ 1 = 334
334 ÷ 2 = 167
Therefore, the factors of 334 are: 1, 2, 167, and 334.
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 334 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
334 ÷ 2 = 167
167 ÷ 167 = 1
The prime factors of 334 are 2 and 167.
The prime factorization of 334 is: 2 × 167.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 334 is divided by 2 to get 167. Here, 167 is a prime number, which cannot be divided anymore. So, the prime factorization of 334 is: 2 × 167.
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 334: (1, 334) and (2, 167).
Negative factor pairs of 334: (-1, -334) and (-2, -167).
Common Mistakes and How to Avoid Them in Factors of 334
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 334, 1 and 334 are also factors.
Factors of 334 Examples
Problem 1
There are 2 teams and 334 apples. How will they divide them equally?
They will get 167 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of teams. 334/2 = 167
Problem 2
A ribbon is 334 cm long and needs to be cut into 2 equal pieces. How long will each piece be?
Each piece will be 167 cm long.
Explanation
To find the length of each piece, we divide the total length by the number of pieces. 334/2 = 167
Problem 3
A farmer has 334 kilograms of grain and wants to distribute them into bags weighing 167 kilograms each. How many bags will he need?
He will need 2 bags.
Explanation
To find the number of bags, divide the total weight by the weight of each bag. 334/167 = 2
FAQs on Factors of 334
1.What are the factors of 334?
2.Mention the prime factors of 334.
3.Is 334 a multiple of 2?
4.Mention the factor pairs of 334?
5.What is the square of 334?
6.How can children in Canada use numbers in everyday life to understand Factors of 334?
7.What are some fun ways kids in Canada can practice Factors of 334 with numbers?
8.What role do numbers and Factors of 334 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 334 skills?
Important Glossaries for Factors of 334
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 334 are 1, 2, 167, and 334.
- Prime factors: The factors which are prime numbers. For example, 2 and 167 are prime factors of 334.
- 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 334 are (1, 334) and (2, 167).
- Prime factorization: Expressing a number as the product of its prime factors. For example, 334 is 2 × 167.
- Negative factors: Factors that include the negative counterparts of positive factors. For example, -1, -2, -167, and -334 are negative factors of 334.
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About BrightChamps in Canada
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.
