117 LearnersLast updated on May 26th, 2025
Factors of 1336
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 1336, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1336?
The numbers that divide 1336 evenly are known as factors of 1336.
A factor of 1336 is a number that divides the number without remainder.
The factors of 1336 are 1, 2, 4, 8, 167, 334, 668, and 1336.
Negative factors of 1336: -1, -2, -4, -8, -167, -334, -668, and -1336.
Prime factors of 1336: 2 and 167.
Prime factorization of 1336: 23 × 167.
The sum of factors of 1336: 1 + 2 + 4 + 8 + 167 + 334 + 668 + 1336 = 2520
How to Find Factors of 1336?
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 1336. Identifying the numbers which are multiplied to get the number 1336 is the multiplication method.
Step 1: Multiply 1336 by 1, 1336 × 1 = 1336.
Step 2: Check for other numbers that give 1336 after multiplying
2 × 668 = 1336
4 × 334 = 1336
8 × 167 = 1336
Therefore, the positive factor pairs of 1336 are: (1, 1336), (2, 668), (4, 334), (8, 167).
All these factor pairs result in 1336.
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 1336 by 1, 1336 ÷ 1 = 1336.
Step 2: Continue dividing 1336 by the numbers until the remainder becomes 0.
1336 ÷ 1 = 1336
1336 ÷ 2 = 668
1336 ÷ 4 = 334
1336 ÷ 8 = 167
Therefore, the factors of 1336 are: 1, 2, 4, 8, 167, 334, 668, 1336.
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 1336 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1336 ÷ 2 = 668
668 ÷ 2 = 334
334 ÷ 2 = 167
167 ÷ 167 = 1
The prime factors of 1336 are 2 and 167.
The prime factorization of 1336 is: 23 × 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, 1336 is divided by 2 to get 668.
Step 2: Now divide 668 by 2 to get 334.
Step 3: Then divide 334 by 2 to get 167. Here, 167 is a prime number, that cannot be divided anymore. So, the prime factorization of 1336 is: 23 × 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 1336: (1, 1336), (2, 668), (4, 334), (8, 167).
Negative factor pairs of 1336: (-1, -1336), (-2, -668), (-4, -334), (-8, -167).
Common Mistakes and How to Avoid Them in Factors of 1336
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 1336, 1 and 1336 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 1336 consist of -1, -2, -4, 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 1336/1.5 = 890.666..., 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 1336 are prime numbers.
For example, 2 and 167 are the prime factors of 1336, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1336 as 2^3 × 167 and missing all the key factors.
Factors of 1336 Examples
Problem 1
There are 8 friends and 1336 apples. How will they divide it equally?
They will get 167 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
1336/8 = 167
Problem 2
A garden is rectangular, the length of the garden is 4 meters and the total area is 1336 square meters. Find the width?
334 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1336 = 4 × width
To find the value of the width, we need to shift 4 to the left side.
1336/4 = width
Width = 334.
Problem 3
There are 4 teams and 1336 t-shirts. How many t-shirts will each team get?
Each team will have 334 t-shirts.
Explanation
To find the t-shirts for each team, divide the total t-shirts with the teams.
1336/4 = 334
Problem 4
In a warehouse, there are 1336 boxes and 2 sections. How many boxes are in each section?
There are 668 boxes in each section.
Explanation
Dividing the boxes with the total sections, we will get the number of boxes in each section.
1336/2 = 668
Problem 5
1336 books need to be arranged in 167 shelves. How many books will go on each shelf?
Each of the shelves has 8 books.
Explanation
Divide total books with shelves.
1336/167 = 8
FAQs on Factors of 1336
1.What are the factors of 1336?
2.Mention the prime factors of 1336.
3.Is 1336 a multiple of 4?
4.Mention the factor pairs of 1336?
5.What is the square of 1336?
Important Glossaries for Factors of 1336
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1336 are 1, 2, 4, 8, 167, 334, 668, and 1336.
- Prime factors: The factors which are prime numbers. For example, 2 and 167 are prime factors of 1336.
- 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 1336 are (1, 1336), (2, 668), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1336 is 23 × 167.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the target number.
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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
: She loves to read number jokes and games.
