101 LearnersLast updated on May 26th, 2025
Factors of -336
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 -336, how they are used in real life, and tips to learn them quickly.
What are the Factors of -336?
The numbers that divide -336 evenly are known as factors of -336.
A factor of -336 is a number that divides the number without remainder.
The factors of -336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, and 336.
Negative factors of -336: -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -42, -48, -56, -84, -112, -168, and -336.
Prime factors of 336: 2, 3, and 7.
Prime factorization of 336: 24 × 3 × 7.
The sum of factors of 336: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 24 + 28 + 42 + 48 + 56 + 84 + 112 + 168 + 336 = 1,176
How to Find Factors of -336?
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 -336. Identifying the numbers which are multiplied to get the number -336 is the multiplication method.
Step 1: Multiply -336 by -1, -336 × -1 = 336.
Step 2: Check for other numbers that give 336 after multiplying
2 × 168 = 336
3 × 112 = 336
4 × 84 = 336
6 × 56 = 336
7 × 48 = 336
8 × 42 = 336
12 × 28 = 336
14 × 24 = 336
16 × 21 = 336
Therefore, the positive factor pairs of 336 are: (1, 336), (2, 168), (3, 112), (4, 84), (6, 56), (7, 48), (8, 42), (12, 28), (14, 24), (16, 21).
For every positive factor, there is a corresponding 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 results as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide -336 by -1, -336 ÷ -1 = 336.
Step 2: Continue dividing -336 by the numbers until the remainder becomes 0.
-336 ÷ 1 = -336
-336 ÷ 2 = -168
-336 ÷ 3 = -112
-336 ÷ 4 = -84
-336 ÷ 6 = -56
-336 ÷ 7 = -48
-336 ÷ 8 = -42
-336 ÷ 12 = -28
-336 ÷ 14 = -24
-336 ÷ 16 = -21
Therefore, the factors of -336 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336.
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 336 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
336 ÷ 2 = 168
168 ÷ 2 = 84
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
The prime factors of 336 are 2, 3, and 7.
The prime factorization of 336 is: 24 × 3 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 336 is divided by 2 to get 168.
Step 2: Now divide 168 by 2 to get 84.
Step 3: Then divide 84 by 2 to get 42.
Step 4: Divide 42 by 2 to get 21.
Step 5: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 336 is: 24 × 3 × 7.
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 336: (1, 336), (2, 168), (3, 112), (4, 84), (6, 56), (7, 48), (8, 42), (12, 28), (14, 24), (16, 21).
Negative factor pairs of -336: (-1, -336), (-2, -168), (-3, -112), (-4, -84), (-6, -56), (-7, -48), (-8, -42), (-12, -28), (-14, -24), (-16, -21).
Common Mistakes and How to Avoid Them in Factors of -336
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 integer. Always remember to include 1 and the number itself.
For example, in factors of -336, 1 and 336 is also a factor.
Factors of -336 Examples
Problem 1
There are -336 apples and 16 baskets. How many apples will be in each basket?
Each basket will have -21 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
-336/16 = -21
Problem 2
A rectangular plot has a length of 24 meters and a total area of -336 square meters. What is the width?
-14 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width
-336 = 24 × width
To find the value of width, we need to shift 24 to the left side.
-336/24 = width
Width = -14.
Problem 3
A school has -336 students and 4 sections. How many students are there in each section?
There are -84 students in each section.
Explanation
Dividing the students by the total sections, we will get the number of students in each section.
-336/4 = -84
Problem 4
A factory has -336 units of product and 7 storage rooms. How many units will be in each storage room?
Each storage room will have -48 units.
Explanation
To find the units in each storage room, divide the total units by the storage rooms.
-336/7 = -48
Problem 5
A library has -336 books and 6 shelves. How many books will go on each shelf?
Each shelf will have -56 books.
Explanation
Divide total books by shelves.
-336/6 = -56
FAQs on Factors of -336
1.What are the factors of -336?
2.Mention the prime factors of 336.
3.Is 336 a multiple of 4?
4.Mention the factor pairs of 336?
5.What is the square of 336?
6.How can children in Qatar use numbers in everyday life to understand Factors of -336?
7.What are some fun ways kids in Qatar can practice Factors of -336 with numbers?
8.What role do numbers and Factors of -336 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of -336 skills?
Important Glossaries for Factors of -336
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -336 are 1, 2, 3, 4, 6, 7, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of 336.
- 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 336 are (1, 336), (2, 168), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 336 is 24 × 3 × 7.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to give the number. For example, 2 × 168 = 336.
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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.
