118 LearnersLast updated on May 26th, 2025
Factors of 1031
Factors are the 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 1031, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1031?
The numbers that divide 1031 evenly are known as factors of 1031.
A factor of 1031 is a number that divides the number without a remainder.
Since 1031 is a prime number, its only factors are 1 and 1031.
Negative factors of 1031: -1 and -1031.
Prime factors of 1031: 1031.
The sum of factors of 1031: 1 + 1031 = 1032
How to Find Factors of 1031?
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 1031.
Since 1031 is a prime number, it can only be expressed as a product of 1 and 1031.
Therefore, the positive factor pair of 1031 is: (1, 1031). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 1031 by 1, 1031 ÷ 1 = 1031.
1031 ÷ 1031 = 1.
Therefore, the factors of 1031 are: 1 and 1031.
Prime Factors and Prime Factorization
The factors can be found by dividing it by prime numbers. Since 1031 is a prime number, its only prime factor is itself, 1031. The prime factorization of 1031 is: 1031.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. For a prime number like 1031, the factor tree is trivial because it only has itself and 1 as its factors. So, the prime factorization of 1031 is: 1031.
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 pair of 1031: (1, 1031).
Negative factor pair of 1031: (-1, -1031).
Common Mistakes and How to Avoid Them in Factors of 1031
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
People 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 1031, 1 and 1031 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1031 include -1 and -1031.
Mistake 3
Including Fractions
Sometimes fractions are mistakenly added as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1031/1.5 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, 1031 is a prime number, so it has only itself and 1 as factors.
Mistake 5
Mistake in Factorization
People might skip the verification step in factorization and end up with incorrect factors.
For example, not verifying that 1031 is a prime number and mistakenly thinking it can be broken down further.
Factors of 1031 Examples
Problem 1
There are 1031 pages in a book, and it needs to be distributed equally among 1 person. How many pages will each person get?
They will get 1031 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of people.
1031/1 = 1031
Problem 2
A marathon has 1031 participants and 1 award. How is the award distributed?
The award is given to 1 participant.
Explanation
The award can only be given to one participant, as there is only 1 award.
Problem 3
A concert has 1031 seats and 1 row. How many seats are there in each row?
There are 1031 seats in the row.
Explanation
Each row has all the seats since there is only 1 row. 1031/1 = 1031
Problem 4
A single lecture hall has 1031 chairs. If you have to arrange them in 1 section, how many chairs will be in that section?
There will be 1031 chairs in that section.
Explanation
All chairs go into a single section since there is only 1 section.
1031/1 = 1031
Problem 5
You have 1031 apples and 1 basket. How many apples can you put in each basket?
All 1031 apples will go into the basket.
Explanation
The basket holds all the apples since there is only 1 basket.
1031/1 = 1031
FAQs on Factors of 1031
1.What are the factors of 1031?
2.Mention the prime factors of 1031.
3.Is 1031 a multiple of any number besides 1 and itself?
4.Mention the factor pair of 1031?
5.Is 1031 a prime number?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 1031?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 1031 with numbers?
8.What role do numbers and Factors of 1031 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 1031 skills?
Important Glossaries for Factor of 1031
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1031 are 1 and 1031.
- Prime factors: The factors which are prime numbers. For example, 1031 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 1031 is (1, 1031).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1031 is a prime number.
- Negative factors: Factors that are negative numbers. For example, -1 and -1031 are negative factors of 1031.
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About BrightChamps in Saudi Arabia
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.
