117 LearnersLast updated on May 26th, 2025
Factors of 1328
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 1328, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1328?
The numbers that divide 1328 evenly are known as factors of 1328.
A factor of 1328 is a number that divides the number without remainder.
The factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, and 1328.
Negative factors of 1328: -1, -2, -4, -8, -16, -83, -166, -332, -664, and -1328.
Prime factors of 1328: 2 and 83.
Prime factorization of 1328: 24 × 83.
The sum of factors of 1328: 1 + 2 + 4 + 8 + 16 + 83 + 166 + 332 + 664 + 1328 = 2604
How to Find Factors of 1328?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1328. Identifying the numbers which are multiplied to get the number 1328 is the multiplication method.
Step 1: Multiply 1328 by 1, 1328 × 1 = 1328.
Step 2: Check for other numbers that give 1328 after multiplying
2 × 664 = 1328
4 × 332 = 1328
8 × 166 = 1328
16 × 83 = 1328
Therefore, the positive factor pairs of 1328 are: (1, 1328), (2, 664), (4, 332), (8, 166), (16, 83).
All these factor pairs result in 1328.
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 1328 by 1, 1328 ÷ 1 = 1328.
Step 2: Continue dividing 1328 by the numbers until the remainder becomes 0.
1328 ÷ 1 = 1328
1328 ÷ 2 = 664
1328 ÷ 4 = 332
1328 ÷ 8 = 166
1328 ÷ 16 = 83
Therefore, the factors of 1328 are: 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1328 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1328 ÷ 2 = 664
664 ÷ 2 = 332
332 ÷ 2 = 166
166 ÷ 2 = 83
83 ÷ 83 = 1
The prime factors of 1328 are 2 and 83.
The prime factorization of 1328 is: 24 × 83.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1328 is divided by 2 to get 664.
Step 2: Now divide 664 by 2 to get 332.
Step 3: Then divide 332 by 2 to get 166.
Step 4: Divide 166 by 2 to get 83. Here, 83 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1328 is: 2^4 × 83.
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 1328: (1, 1328), (2, 664), (4, 332), (8, 166), and (16, 83).
Negative factor pairs of 1328: (-1, -1328), (-2, -664), (-4, -332), (-8, -166), and (-16, -83).
Common Mistakes and How to Avoid Them in Factors of 1328
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1328, 1 and 1328 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1328 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 1328/1.5 ≈ 885.33, 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 1328 are prime numbers.
For example, 2 and 83 are the prime factors of 1328, but it has other factors like 4, 16.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1328 as 2^4 × 83 and missing all the key factors.
Factors of 1328 Examples
Problem 1
There are 16 friends and 1328 candies. How will they divide it equally?
They will get 83 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1328/16 = 83
Problem 2
A field is rectangular, the length of the field is 8 meters and the total area is 1328 square meters. Find the width?
166 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1328 = 8 × width
To find the value of width, we need to shift 8 to the left side.
1328/8 = width
Width = 166.
Problem 3
There are 664 bags and 1328 marbles. How many marbles will be in each bag?
Each bag will have 2 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
1328/664 = 2
Problem 4
In a class, there are 1328 students, and 4 groups. How many students are there in each group?
There are 332 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1328/4 = 332
Problem 5
1328 books need to be arranged in 83 shelves. How many books will go on each shelf?
Each of the shelves has 16 books.
Explanation
Divide total books with shelves.
1328/83 = 16
FAQs on Factors of 1328
1.What are the factors of 1328?
2.Mention the prime factors of 1328.
3.Is 1328 a multiple of 8?
4.Mention the factor pairs of 1328?
5.What is the square of 1328?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1328?
7.What are some fun ways kids in Qatar can practice Factors of 1328 with numbers?
8.What role do numbers and Factors of 1328 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1328 skills?
Important Glossaries for Factor of 1328
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, and 1328.
- Prime factors: The factors which are prime numbers. For example, 2 and 83 are prime factors of 1328.
- 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 1328 are (1, 1328), (2, 664), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1328 is 24 × 83.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to the given number. For example, using the multiplication method for 1328, we find (16, 83) as a factor pair.
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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.
