100 LearnersLast updated on May 26th, 2025
Factors of 1463
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 1463, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1463?
The numbers that divide 1463 evenly are known as factors of 1463.
A factor of 1463 is a number that divides the number without remainder.
The factors of 1463 are 1, 7, 11, 13, 77, 91, 143, and 1463.
Negative factors of 1463: -1, -7, -11, -13, -77, -91, -143, and -1463.
Prime factors of 1463: 7, 11, and 13.
Prime factorization of 1463: 7 × 11 × 13.
The sum of factors of 1463: 1 + 7 + 11 + 13 + 77 + 91 + 143 + 1463 = 1806
How to Find Factors of 1463?
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 1463. Identifying the numbers which are multiplied to get the number 1463 is the multiplication method.
Step 1: Multiply 1463 by 1, 1463 × 1 = 1463.
Step 2: Check for other numbers that give 1463 after multiplying
7 × 209 = 1463
11 × 133 = 1463
13 × 113 = 1463
Therefore, the positive factor pairs of 1463 are: (1, 1463), (7, 209), (11, 133), (13, 113).
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 1463 by 1, 1463 ÷ 1 = 1463.
Step 2: Continue dividing 1463 by the numbers until the remainder becomes 0.
1463 ÷ 1 = 1463
1463 ÷ 7 = 209
1463 ÷ 11 = 133
1463 ÷ 13 = 113
Therefore, the factors of 1463 are: 1, 7, 11, 13, 77, 91, 143, 1463.
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 1463 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1463 ÷ 7 = 209
209 ÷ 11 = 19
19 ÷ 19 = 1
The prime factors of 1463 are 7, 11, and 13.
The prime factorization of 1463 is: 7 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1463 is divided by 7 to get 209.
Step 2: Now divide 209 by 11 to get 19.
Step 3: Divide 19 by 19 to get 1.
Here, 19 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1463 is: 7 × 11 × 13.
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 1463: (1, 1463), (7, 209), (11, 133), and (13, 113).
Negative factor pairs of 1463: (-1, -1463), (-7, -209), (-11, -133), and (-13, -113).
Common Mistakes and How to Avoid Them in Factors of 1463
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 1463, 1 and 1463 are also factors.
Factors of 1463 Examples
Problem 1
There are 7 teams and 1463 players. How will they distribute the players equally?
They will get 209 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of teams.
1463/7 = 209
Problem 2
A rectangular garden has a length of 11 meters and a total area of 1463 square meters. Find the width.
133 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1463 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1463/11 = width
Width = 133.
Problem 3
There are 13 classrooms and 1463 chairs. How many chairs will be in each classroom?
Each classroom will have 113 chairs.
Explanation
To find the chairs in each classroom, divide the total chairs by the number of classrooms.
1463/13 = 113
Problem 4
In a school, there are 1463 students and 19 sections. How many students are there in each section?
There are 77 students in each section.
Explanation
Dividing the students by the total sections, we will get the number of students in each section.
1463/19 = 77
Problem 5
1463 books need to be arranged on 11 shelves. How many books will go on each shelf?
Each of the shelves has 133 books.
Explanation
Divide total books by shelves.
1463/11 = 133
FAQs on Factors of 1463
1.What are the factors of 1463?
2.Mention the prime factors of 1463.
3.Is 1463 a multiple of 11?
4.Mention the factor pairs of 1463?
5.What is the square of 1463?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1463?
7.What are some fun ways kids in Vietnam can practice Factors of 1463 with numbers?
8.What role do numbers and Factors of 1463 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1463 skills?
Important Glossaries for Factors of 1463
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1463 are 1, 7, 11, 13, 77, 91, 143, and 1463.
- Prime factors: The factors which are prime numbers. For example, 7, 11, and 13 are prime factors of 1463.
- 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 1463 are (1, 1463), (7, 209), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1463 is 7 × 11 × 13.
- Division method: A method of finding factors by dividing the number with whole numbers until the remainder is zero. For example, using the division method to find factors of 1463.
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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.
