118 LearnersLast updated on May 26th, 2025
Factors of 3367
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 3367, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 3367?
The numbers that divide 3367 evenly are known as factors of 3367.
A factor of 3367 is a number that divides the number without remainder.
The factors of 3367 are 1, 29, 113, and 3367.
Negative factors of 3367: -1, -29, -113, and -3367.
Prime factors of 3367: 29 and 113.
Prime factorization of 3367: 29 × 113.
The sum of factors of 3367: 1 + 29 + 113 + 3367 = 3510
How to Find Factors of 3367?
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 3367. Identifying the numbers which are multiplied to get the number 3367 is the multiplication method.
Step 1: Multiply 3367 by 1, 3367 × 1 = 3367.
Step 2: Check for other numbers that give 3367 after multiplying 29 × 113 = 3367
Therefore, the positive factor pairs of 3367 are: (1, 3367) and (29, 113). All these factor pairs result in 3367. 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 3367 by 1, 3367 ÷ 1 = 3367.
Step 2: Continue dividing 3367 by the numbers until the remainder becomes 0.
3367 ÷ 1 = 3367
3367 ÷ 29 = 113
3367 ÷ 113 = 29
Therefore, the factors of 3367 are: 1, 29, 113, and 3367.
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 3367 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3367 ÷ 29 = 113
113 ÷ 113 = 1
The prime factors of 3367 are 29 and 113.
The prime factorization of 3367 is: 29 × 113.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 3367 is divided by 29 to get 113.
Step 2: Now divide 113 by 113 to get 1. Here, 113 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 3367 is: 29 × 113.
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 3367: (1, 3367) and (29, 113).
Negative factor pairs of 3367: (-1, -3367) and (-29, -113).
Common Mistakes and How to Avoid Them in Factors of 3367
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 3367, 1 and 3367 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 3367 consist of -1, -29, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 3367/1.5 = 2244.666..., and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 3367 are prime numbers.
For example, 29 and 113 are the prime factors of 3367, but it has other factors like 1, 3367.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, Not breaking 3367 as 29 × 113 and missing all the key factors.
Factors of 3367 Examples
Problem 1
There are 29 employees and 3367 tasks. How will they divide it equally?
They will get 116 tasks each.
Explanation
To divide the tasks equally, we need to divide the total tasks by the number of employees.
3367/29 = 116
Problem 2
A gallery wall is rectangular, the length of the wall is 113 feet and the total area is 3367 square feet. Find the width?
29 feet.
Explanation
To find the width of the wall, we use the formula,
Area = length × width
3367 = 113 × width
To find the value of width, we need to shift 113 to the left side.
3367/113 = width
Width = 29.
Problem 3
There are 113 bags and 3367 candies. How many candies will be in each bag?
Each bag will have 29 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
3367/113 = 29
Problem 4
In a conference, there are 3367 participants, and 29 groups. How many participants are there in each group?
There are 116 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
3367/29 = 116
Problem 5
3367 books need to be arranged in 113 shelves. How many books will go on each shelf?
Each of the shelves has 29 books.
Explanation
Divide total books by shelves.
3367/113 = 29
FAQs on Factors of 3367
1.What are the factors of 3367?
2.Mention the prime factors of 3367.
3.Is 3367 a multiple of 29?
4.Mention the factor pairs of 3367?
5.What is the square of 3367?
6.How can children in Qatar use numbers in everyday life to understand Factors of 3367?
7.What are some fun ways kids in Qatar can practice Factors of 3367 with numbers?
8.What role do numbers and Factors of 3367 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 3367 skills?
Important Glossaries for Factor of 3367
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3367 are 1, 29, 113, and 3367.
- Prime factors: The factors which are prime numbers. For example, 29 and 113 are prime factors of 3367.
- 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 3367 are (1, 3367) and (29, 113).
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A way to find factors by dividing the number by whole numbers to check for a remainder of zero.
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About BrightChamps in Qatar
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.
