101 LearnersLast updated on May 26th, 2025
Factors of 1462
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 1462, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1462?
The numbers that divide 1462 evenly are known as factors of 1462.
A factor of 1462 is a number that divides the number without remainder.
The factors of 1462 are 1, 2, 731, and 1462.
Negative factors of 1462: -1, -2, -731, and -1462.
Prime factors of 1462: 2 and 731.
Prime factorization of 1462: 2 × 731.
The sum of factors of 1462: 1 + 2 + 731 + 1462 = 2196
How to Find Factors of 1462?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1462. Identifying the numbers which are multiplied to get the number 1462 is the multiplication method.
Step 1: Multiply 1462 by 1, 1462 × 1 = 1462.
Step 2: Check for other numbers that give 1462 after multiplying
2 × 731 = 1462
Therefore, the positive factor pairs of 1462 are: (1, 1462) and (2, 731).
All these factor pairs result in 1462.
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1462 by 1, 1462 ÷ 1 = 1462.
Step 2: Continue dividing 1462 by the numbers until the remainder becomes 0.
1462 ÷ 1 = 1462
1462 ÷ 2 = 731
Therefore, the factors of 1462 are: 1, 2, 731, 1462.
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 1462 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1462 ÷ 2 = 731
731 is a prime number and cannot be divided further.
The prime factors of 1462 are 2 and 731.
The prime factorization of 1462 is: 2 × 731.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1462 is divided by 2 to get 731.
Step 2: Since 731 is a prime number, it cannot be divided further.
The prime factorization of 1462 is: 2 × 731.
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 1462: (1, 1462) and (2, 731).
Negative factor pairs of 1462: (-1, -1462) and (-2, -731).
Common Mistakes and How to Avoid Them in Factors of 1462
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 1462, 1 and 1462 are also factors.
Factors of 1462 Examples
Problem 1
There are 2 teams and 1462 points. How will they divide the points equally?
They will get 731 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1462/2 = 731
Problem 2
A garden is rectangular, the length of the garden is 731 meters, and the total area is 1462 square meters. Find the width?
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1462 = 731 × width
To find the value of width, we need to shift 731 to the left side.
1462/731 = width
Width = 2.
Problem 3
There are 1,462 marbles and 731 boxes. How many marbles will be in each box?
Each box will have 2 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1462/731 = 2
Problem 4
In a competition, there are 1462 participants, and 2 teams. How many participants are there in each team?
There are 731 participants in each team.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
1462/2 = 731
Problem 5
1462 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 731 books.
Explanation
Divide total books by shelves.
1462/2 = 731
FAQs on Factors of 1462
1.What are the factors of 1462?
2.Mention the prime factors of 1462.
3.Is 1462 a multiple of 2?
4.Mention the factor pairs of 1462?
5.What is the square of 1462?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1462?
7.What are some fun ways kids in Vietnam can practice Factors of 1462 with numbers?
8.What role do numbers and Factors of 1462 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1462 skills?
Important Glossaries for Factors of 1462
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1462 are 1, 2, 731, and 1462.
- Prime factors: The factors which are prime numbers. For example, 2 and 731 are prime factors of 1462.
- 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 1462 are (1, 1462) and (2, 731).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1462 is 2 × 731.
- Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 1462 are -1, -2, -731, and -1462.
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About BrightChamps in Vietnam
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.
