100 LearnersLast updated on May 26th, 2025
Factors of 1394
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 1394, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1394?
The numbers that divide 1394 evenly are known as factors of 1394.
A factor of 1394 is a number that divides the number without remainder.
The factors of 1394 are 1, 2, 697, and 1394.
Negative factors of 1394: -1, -2, -697, and -1394.
Prime factors of 1394: 2 and 697.
Prime factorization of 1394: 2 × 697.
The sum of factors of 1394: 1 + 2 + 697 + 1394 = 2094
How to Find Factors of 1394?
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 1394. Identifying the numbers which are multiplied to get the number 1394 is the multiplication method.
Step 1: Multiply 1394 by 1, 1394 × 1 = 1394.
Step 2: Check for other numbers that give 1394 after multiplying 2 × 697 = 1394
Therefore, the positive factor pairs of 1394 are: (1, 1394) and (2, 697).
All these factor pairs result in 1394.
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 1394 by 1, 1394 ÷ 1 = 1394.
Step 2: Continue dividing 1394 by the numbers until the remainder becomes 0.
1394 ÷ 1 = 1394
1394 ÷ 2 = 697
Therefore, the factors of 1394 are: 1, 2, 697, 1394.
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 1394 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1394 ÷ 2 = 697
697 ÷ 697 = 1
The prime factors of 1394 are 2 and 697.
The prime factorization of 1394 is: 2 × 697.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1394 is divided by 2 to get 697.
Step 2: Now divide 697 by 697 to get 1. Here, 697 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1394 is: 2 × 697.
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 1394: (1, 1394) and (2, 697).
Negative factor pairs of 1394: (-1, -1394) and (-2, -697).
Common Mistakes and How to Avoid Them in Factors of 1394
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 1394, 1 and 1394 are also factors.
Factors of 1394 Examples
Problem 1
There are 2 teams and 1394 points. How will they divide the points equally?
They will get 697 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1394/2 = 697
Problem 2
A ribbon is 1394 cm long. If it is cut into 2 equal parts, what will be the length of each part?
Each part will be 697 cm long.
Explanation
To find the length of each part, divide the total length by the number of parts.
1394/2 = 697
Problem 3
A box contains 1394 marbles, and there are 2 containers. How many marbles will be in each container if distributed equally?
Each container will have 697 marbles.
Explanation
To find the marbles in each container, divide the total marbles by the number of containers.
1394/2 = 697
Problem 4
A field is rectangular, and the length of the field is 2 meters. If the total area is 1394 square meters, find the width.
697 meters.
Explanation
To find the width of the field, use the formula,
Area = length × width
1394 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1394/2 = width
Width = 697.
Problem 5
1394 apples need to be packed in 2 boxes. How many apples will go in each box?
Each box will have 697 apples.
Explanation
Divide the total apples by the number of boxes.
1394/2 = 697
FAQs on Factors of 1394
1.What are the factors of 1394?
2.Mention the prime factors of 1394.
3.Is 1394 a multiple of 2?
4.Mention the factor pairs of 1394?
5.What is the square of 1394?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1394?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1394 with numbers?
8.What role do numbers and Factors of 1394 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 1394 skills?
Important Glossaries for Factors of 1394
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1394 are 1, 2, 697, and 1394.
- Prime factors: The factors which are prime numbers. For example, 2 and 697 are prime factors of 1394.
- 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 1394 are (1, 1394) and (2, 697).
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 1394 is 2 × 697.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 1394 are -1, -2, -697, and -1394.
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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.
