100 LearnersLast updated on May 26th, 2025
Factors of 1097
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 1097, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1097?
The numbers that divide 1097 evenly are known as factors of 1097
. A factor of 1097 is a number that divides the number without remainder
The factors of 1097 are 1 and 1097.
Negative factors of 1097: -1 and -1097.
Prime factors of 1097: 1097.
Prime factorization of 1097: 1097 itself as it is a prime number.
The sum of factors of 1097: 1 + 1097 = 1098
How to Find Factors of 1097?
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 1097.
Since 1097 is a prime number, the only multiplication pair is 1 × 1097.
Therefore, the positive factor pairs of 1097 are: (1, 1097).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1097 by 1, 1097 ÷ 1 = 1097.
Since 1097 is a prime number, no division other than by 1 or 1097 results in a whole number.
Therefore, the factors of 1097 are: 1 and 1097.
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: Since 1097 is a prime number, it cannot be broken down further.
The prime factorization of 1097 is simply 1097.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 1097 is a prime number, it does not break down further.
The prime factorization of 1097 remains 1097.
Factor Pairs Two numbers that are multiplied to give a specific numbe
r are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1097: (1, 1097).
Negative factor pairs of 1097: (-1, -1097).
Common Mistakes and How to Avoid Them in Factors of 1097
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 1097, 1 and 1097 are factors.
Factors of 1097 Examples
Problem 1
A treasure chest has 1097 gold coins and needs to be distributed equally among 1097 pirates. How many coins will each pirate get?
Each pirate will get 1 coin.
Explanation
To distribute the coins equally, divide the total coins by the number of pirates.
1097/1097 = 1
Problem 2
A stamp collector has 1097 unique stamps and wants to display them on a board with 1 stamp per slot. How many slots are needed?
1097 slots.
Explanation
To find the number of slots needed, use the formula:
Total number of stamps = number of slots 1097 = number of slots
Problem 3
A marathon has 1097 participants. If each participant is given a unique badge number, what is the highest badge number given?
The highest badge number is 1097.
Explanation
Since each participant receives a unique number, the highest number corresponds to the total number of participants.
Problem 4
1097 apples need to be packed into boxes, each holding exactly 1 apple. How many boxes are required?
1097 boxes.
Explanation
Each apple requires one box, so the total number of boxes required is equal to the number of apples.
Problem 5
A teacher has 1097 crayons and wants to give each of the 1097 students 1 crayon each. How many crayons will be left after distribution?
0 crayons will be left.
Explanation
Each student gets 1 crayon, and since the number of crayons equals the number of students, there are no crayons left.
FAQs on Factors of 1097
1.What are the factors of 1097?
2.Mention the prime factors of 1097.
3.Is 1097 a multiple of 1?
4.Mention the factor pairs of 1097?
5.What is the square of 1097?
6.How can children in Australia use numbers in everyday life to understand Factors of 1097?
7.What are some fun ways kids in Australia can practice Factors of 1097 with numbers?
8.What role do numbers and Factors of 1097 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1097 skills?
Important Glossaries for Factors of 1097
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1097 are 1 and 1097.
- Prime factors: The factors which are prime numbers. For example, 1097 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1097 is (1, 1097).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. 1097 is a prime number.
- Multiplication: The process of combining quantities. In the context of factors, it's used to find factor pairs.
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About BrightChamps in Australia
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.
