121 LearnersLast updated on May 26th, 2025
Factors of 1376
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 1376, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1376?
The numbers that divide 1376 evenly are known as factors of 1376.
A factor of 1376 is a number that divides the number without remainder.
The factors of 1376 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688, and 1376.
Negative factors of 1376: -1, -2, -4, -8, -16, -43, -86, -172, -344, -688, and -1376.
Prime factors of 1376: 2 and 43.
Prime factorization of 1376: 24 × 43.
The sum of factors of 1376: 1 + 2 + 4 + 8 + 16 + 43 + 86 + 172 + 344 + 688 + 1376 = 2740
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How to Find Factors of 1376?
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 1376. Identifying the numbers which are multiplied to get the number 1376 is the multiplication method.
Step 1: Multiply 1376 by 1, 1376 × 1 = 1376.
Step 2: Check for other numbers that give 1376 after multiplying
2 × 688 = 1376
4 × 344 = 1376
8 × 172 = 1376
16 × 86 = 1376
Therefore, the positive factor pairs of 1376 are: (1, 1376), (2, 688), (4, 344), (8, 172), (16, 86), and (43, 32).
All these factor pairs result in 1376.
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 1376 by 1, 1376 ÷ 1 = 1376.
Step 2: Continue dividing 1376 by the numbers until the remainder becomes 0.
1376 ÷ 1 = 1376
1376 ÷ 2 = 688
1376 ÷ 4 = 344
1376 ÷ 8 = 172
1376 ÷ 16 = 86
Therefore, the factors of 1376 are: 1, 2, 4, 8, 16, 43, 86, 172, 344, 688, and 1376.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1376 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1376 ÷ 2 = 688
688 ÷ 2 = 344
344 ÷ 2 = 172
172 ÷ 2 = 86
86 ÷ 43 = 2
43 ÷ 43 = 1
The prime factors of 1376 are 2 and 43.
The prime factorization of 1376 is: 24 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1376 is divided by 2 to get 688.
Step 2: Now divide 688 by 2 to get 344.
Step 3: Then divide 344 by 2 to get 172.
Step 4: Divide 172 by 2 to get 86. Step 5: Divide 86 by 43 to get 2. Here, 43 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1376 is: 24 × 43.
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 1376: (1, 1376), (2, 688), (4, 344), (8, 172), (16, 86), and (43, 32).
Negative factor pairs of 1376: (-1, -1376), (-2, -688), (-4, -344), (-8, -172), (-16, -86), and (-43, -32).
Common Mistakes and How to Avoid Them in Factors of 1376
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 1376, 1 and 1376 are also factors.
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 1376 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1376/1.5 ≈ 917.333, 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 1376 are prime numbers.
For example, 2 and 43 are the prime factors of 1376, 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 1376 as 24 × 43 and missing all the key factors.
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Factors of 1376 Examples
Problem 1
There are 16 teams and 1376 players. How will they divide them equally?
They will get 86 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
1376/16 = 86
Problem 2
A garden is rectangular, the length of the garden is 43 meters and the total area is 1376 square meters. Find the width?
32 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1376 = 43 × width
To find the value of width, we need to shift 43 to the left side.
1376/43 = width
Width = 32.
Problem 3
There are 8 groups and 1376 candies. How many candies will be in each group?
Each group will have 172 candies.
Explanation
To find the candies in each group, divide the total candies by the groups.
1376/8 = 172
Problem 4
There are 86 chocolates and 1376 children. How many children can get an equal number of chocolates?
16 children can get an equal number of chocolates.
Explanation
Divide the chocolates by the total number of children to find how many children can get an equal number of chocolates.
1376/86 ≈ 16
Problem 5
1376 books need to be arranged in 344 stacks. How many books will go on each stack?
Each stack will have 4 books.
Explanation
Divide total books by stacks.
1376/344 = 4
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FAQs on Factors of 1376
1.What are the factors of 1376?
2.Mention the prime factors of 1376.
3.Is 1376 a multiple of 43?
4.Mention the factor pairs of 1376?
5.What is the square of 1376?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1376?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1376 with numbers?
8.What role do numbers and Factors of 1376 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1376 skills?
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Important Glossaries for Factors of 1376
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1376 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688, and 1376.
- Prime factors: The factors which are prime numbers. For example, 2 and 43 are prime factors of 1376.
- 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 1376 are (1, 1376), (2, 688), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For 1376, it is 24 × 43.
- Multiplication method: A method used to find factor pairs by identifying numbers that multiply to give the original number.
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About BrightChamps in United Arab Emirates
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.
