Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the pages equally, we need to divide the total pages by the number of people.
1031/1 = 1031
A marathon has 1031 participants and 1 award. How is the award distributed?
The award is given to 1 participant.
The award can only be given to one participant, as there is only 1 award.
A concert has 1031 seats and 1 row. How many seats are there in each row?
There are 1031 seats in the row.
Each row has all the seats since there is only 1 row. 1031/1 = 1031
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.
All chairs go into a single section since there is only 1 section.
1031/1 = 1031
You have 1031 apples and 1 basket. How many apples can you put in each basket?
All 1031 apples will go into the basket.
The basket holds all the apples since there is only 1 basket.
1031/1 = 1031
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.
: She loves to read number jokes and games.