146 LearnersLast updated on May 26th, 2025
Factors of 1262
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 1262, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1262?
The numbers that divide 1262 evenly are known as factors of 1262. A factor of 1262 is a number that divides the number without remainder. The factors of 1262 are 1, 2, 631, and 1262.
Negative factors of 1262: -1, -2, -631, and -1262.
Prime factors of 1262: 2 and 631.
Prime factorization of 1262: 2 × 631.
The sum of factors of 1262: 1 + 2 + 631 + 1262 = 1896
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How to Find Factors of 1262?
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 1262. Identifying the numbers which are multiplied to get the number 1262 is the multiplication method.
Step 1: Multiply 1262 by 1, 1262 × 1 = 1262.
Step 2: Check for other numbers that give 1262 after multiplying 2 × 631 = 1262
Therefore, the positive factor pairs of 1262 are: (1, 1262) and (2, 631). All these factor pairs result in 1262. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1262 by 1, 1262 ÷ 1 = 1262.
Step 2: Continue dividing 1262 by the numbers until the remainder becomes 0.
1262 ÷ 1 = 1262
1262 ÷ 2 = 631
Therefore, the factors of 1262 are: 1, 2, 631, and 1262.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1262 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1262 ÷ 2 = 631
631 is a prime number and cannot be divided further. The prime factors of 1262 are 2 and 631. The prime factorization of 1262 is: 2 × 631.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1262 is divided by 2 to get 631.
Step 2: 631 is a prime number and cannot be divided further. So, the prime factorization of 1262 is: 2 × 631.
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 1262: (1, 1262) and (2, 631).
- Negative factor pairs of 1262: (-1, -1262) and (-2, -631).
Common Mistakes and How to Avoid Them in Factors of 1262
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 1262, 1 and 1262 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 1262 include -1, -2, -631, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor. For example, thinking 1.5 as a factor because 1262/1.5 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, thinking all the factors of 1262 are prime numbers. For example, 2 and 631 are the prime factors of 1262, but it has other factors like 1 and 1262.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 1262 as 2 × 631 and missing all the key factors.
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Factors of 1262 Examples
Problem 1
There are 2 teams and 1262 players. How will they divide the players equally?
They will have 631 players in each team.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
1262/2 = 631
Problem 2
A banner is 1262 cm wide and needs to be divided into equal parts of 631 cm each. How many parts will there be?
There will be 2 parts.
Explanation
To find the number of parts, divide the total width by the width of each part.
1262/631 = 2
Problem 3
There are 631 chairs and 2 rows. How many chairs will be in each row?
Each row will have 315 chairs.
Explanation
To find the chairs in each row, divide the total chairs by the number of rows.
631/2 = 315.5
Problem 4
A group of 1262 people need to be seated equally in 631 rows. How many people will be in each row?
There will be 2 people in each row.
Explanation
Divide the total number of people by the number of rows.
1262/631 = 2
Problem 5
1262 books need to be arranged in 631 shelves. How many books will go on each shelf?
Each shelf will have 2 books.
Explanation
Divide the total books by the shelves.
1262/631 = 2
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FAQs on Factors of 1262
1.What are the factors of 1262?
2.Mention the prime factors of 1262.
3.Is 1262 a multiple of 2?
4.Mention the factor pairs of 1262?
5.What is the square of 1262?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1262?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1262 with numbers?
8.What role do numbers and Factors of 1262 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 1262 skills?
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Important Glossaries for Factor of 1262
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1262 are 1, 2, 631, and 1262.
- Prime factors: The factors which are prime numbers. For example, 2 and 631 are prime factors of 1262.
- 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 1262 are (1, 1262) and (2, 631).
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to give the original number.
- Division method: A method to find factors by dividing the number by whole numbers until the remainder is zero.
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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.
