101 LearnersLast updated on May 26th, 2025
Factors of 1378
Factors are numbers that divide any given number evenly without a 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 1378, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1378?
The numbers that divide 1378 evenly are known as factors of 1378.
A factor of 1378 is a number that divides the number without a remainder.
The factors of 1378 are 1, 2, 689, and 1378.
Negative factors of 1378: -1, -2, -689, and -1378.
Prime factors of 1378: 2 and 689.
Prime factorization of 1378: 2 × 689.
The sum of factors of 1378: 1 + 2 + 689 + 1378 = 2070
How to Find Factors of 1378?
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 1378. Identifying the numbers which are multiplied to get the number 1378 is the multiplication method.
Step 1: Multiply 1378 by 1, 1378 × 1 = 1378.
Step 2: Check for other numbers that give 1378 after multiplying 2 × 689 = 1378
Therefore, the positive factor pairs of 1378 are: (1, 1378) and (2, 689).
All these factor pairs result in 1378.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1378 by 1, 1378 ÷ 1 = 1378.
Step 2: Continue dividing 1378 by the numbers until the remainder becomes 0.
1378 ÷ 1 = 1378
1378 ÷ 2 = 689
Therefore, the factors of 1378 are: 1, 2, 689, and 1378.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1378 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1378 ÷ 2 = 689
689 ÷ 689 = 1
The prime factors of 1378 are 2 and 689.
The prime factorization of 1378 is: 2 × 689.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1378 is divided by 2 to get 689.
Step 2: Now divide 689 by 689 to get 1. Here, 689 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1378 is: 2 × 689.
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 1378: (1, 1378) and (2, 689).
Negative factor pairs of 1378: (-1, -1378) and (-2, -689).
Common Mistakes and How to Avoid Them in Factors of 1378
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1378, 1 and 1378 are also factors.
Factors of 1378 Examples
Problem 1
A group of 1378 apples needs to be packed into boxes with 2 apples in each box. How many boxes will be needed?
689 boxes will be needed.
Explanation
To find the number of boxes, divide the total apples by the number of apples per box.
1378/2 = 689
Problem 2
A rectangular garden has a length of 1378 meters and a total area of 1378 square meters. What is the width of the garden?
1 meter.
Explanation
To find the width of the garden, use the formula, Area = length × width 1378 = 1378 × width
To find the value of width, divide both sides by 1378.
1378/1378 = width
Width = 1.
Problem 3
There are 2 buses and 1378 students. How many students will be in each bus?
Each bus will have 689 students.
Explanation
To find the students in each bus, divide the total students by the number of buses.
1378/2 = 689
Problem 4
A company wants to distribute 1378 pens equally among 1378 employees. How many pens will each employee get?
Each employee will get 1 pen.
Explanation
Dividing the total pens by the number of employees, we will get the number of pens each employee receives.
1378/1378 = 1
Problem 5
A storage room has 1378 boxes of supplies, and each shelf can hold 2 boxes. How many shelves are needed?
689 shelves will be needed.
Explanation
Divide the total boxes by the number of boxes per shelf.
1378/2 = 689
FAQs on Factors of 1378
1.What are the factors of 1378?
2.Mention the prime factors of 1378.
3.Is 1378 a multiple of 2?
4.Mention the factor pairs of 1378?
5.What is the square of 1378?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1378?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1378 with numbers?
8.What role do numbers and Factors of 1378 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 1378 skills?
Important Glossaries for Factors of 1378
- Factors: Numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 1378 are 1, 2, 689, and 1378.
- Prime factors: Factors that are prime numbers. For example, 2 and 689 are prime factors of 1378.
- 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 1378 are (1, 1378) and (2, 689).
- Multiplication method: A method used to find factor pairs by identifying numbers that multiply to the given number.
- Division method: A method used to identify factors by dividing the number by whole numbers and checking for a remainder of zero.
Explore More numbers
Previous to Factors of 1378
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.
