100 LearnersLast updated on May 26th, 2025
Factors of 1094
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 1094, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1094?
The numbers that divide 1094 evenly are known as factors of 1094.
A factor of 1094 is a number that divides the number without remainder.
The factors of 1094 are 1, 2, 547, and 1094.
Negative factors of 1094: -1, -2, -547, and -1094.
Prime factors of 1094: 2 and 547.
Prime factorization of 1094: 2 × 547.
The sum of factors of 1094: 1 + 2 + 547 + 1094 = 1644
How to Find Factors of 1094?
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 1094. Identifying the numbers which are multiplied to get the number 1094 is the multiplication method.
Step 1: Multiply 1094 by 1, 1094 × 1 = 1094.
Step 2: Check for other numbers that give 1094 after multiplying
2 × 547 = 1094
Therefore, the positive factor pairs of 1094 are: (1, 1094) and (2, 547).
All these factor pairs result in 1094.
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1094 by 1, 1094 ÷ 1 = 1094.
Step 2: Continue dividing 1094 by the numbers until the remainder becomes 0.
1094 ÷ 1 = 1094
1094 ÷ 2 = 547
Therefore, the factors of 1094 are: 1, 2, 547, and 1094.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1094 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1094 ÷ 2 = 547
547 is a prime number and cannot be divided further.
The prime factors of 1094 are 2 and 547.
The prime factorization of 1094 is: 2 × 547.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1094 is divided by 2 to get 547.
Step 2: 547 is a prime number and cannot be divided further.
So, the prime factorization of 1094 is: 2 × 547.
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 1094: (1, 1094) and (2, 547).
Negative factor pairs of 1094: (-1, -1094) and (-2, -547).
Common Mistakes and How to Avoid Them in Factors of 1094
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 1094, 1 and 1094 are also factors.
Factors of 1094 Examples
Problem 1
A crafting group has 1094 beads and 2 boxes. How will they divide them equally?
They will get 547 beads in each box.
Explanation
To divide the beads equally, we need to divide the total beads by the number of boxes.
1094/2 = 547
Problem 2
A piece of cloth is 1094 meters long. If you cut it into 547 equal pieces, what will be the length of each piece?
Each piece will be 2 meters long.
Explanation
To find the length of each piece, divide the total length by the number of pieces.
1094/547 = 2
Problem 3
There are 4 classrooms, and a total of 1094 chairs need to be arranged equally in each classroom. How many chairs will each classroom have?
This scenario does not divide evenly as 4 is not a factor of 1094.
Explanation
1094 cannot be evenly divided by 4, as 4 is not a factor of 1094.
FAQs on Factors of 1094
1.What are the factors of 1094?
2.Mention the prime factors of 1094.
3.Is 1094 a multiple of 3?
4.Mention the factor pairs of 1094?
5.What is the square of 1094?
6.How can children in Australia use numbers in everyday life to understand Factors of 1094?
7.What are some fun ways kids in Australia can practice Factors of 1094 with numbers?
8.What role do numbers and Factors of 1094 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1094 skills?
Important Glossaries for Factor of 1094
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1094 are 1, 2, 547, and 1094.
- Prime factors: The factors which are prime numbers. For example, 2 and 547 are prime factors of 1094.
- 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 1094 are (1, 1094) and (2, 547).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1094 is 2 × 547.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 1094 are -1, -2, -547, and -1094.
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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
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