Last updated on May 29th, 2025
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 463, how they are used in real life, and tips to learn them quickly.
The number that divides 463 evenly is known as a factor of 463.
A factor of 463 is a number that divides the number without a remainder.
The factors of 463 are 1 and 463, because 463 is a prime number.
Negative factors of 463: -1 and -463.
Prime factors of 463: 463.
Prime factorization of 463: 463.
The sum of factors of 463: 1 + 463 = 464
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify pairs of numbers that are multiplied to give 463. Since 463 is a prime number, it only has trivial multiplication factors:
Step 1: Multiply 463 by 1, 463 × 1 = 463.
Therefore, the positive factor pairs of 463 are: (1, 463).
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 that result in whole numbers as factors. Since 463 is a prime number, it only divides evenly by 1 and itself:
Step 1: Divide 463 by 1, 463 ÷ 1 = 463.
Step 2: Try dividing 463 by other numbers, but they will not divide evenly.
Therefore, the factors of 463 are: 1 and 463.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, because 463 is a prime number, it cannot be broken down further.
The prime factor of 463 is 463 itself.
The prime factorization of 463 is: 463.
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 463 is a prime number, it cannot be broken down further using a factor tree. The prime factorization of 463 is: 463.
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 463: (1, 463).
Negative factor pairs of 463: (-1, -463).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A charity has 463 books and wants to distribute them equally among 1 school. How many books will each school receive?
Each school will receive 463 books.
To divide the books equally, we divide the total number of books by the number of schools.
463/1
= 463
An art gallery has 463 paintings and wants to hang them in 1 row. How many paintings will be in each row?
There will be 463 paintings in each row.
To find the number of paintings in each row, divide the total number of paintings by the number of rows.
463/1
= 463
A team has 463 points and wants to distribute them equally among 1 player. How many points will each player receive?
Each player will receive 463 points.
To divide the points equally, divide the total points by the number of players.
463/1
= 463
A library has 463 books, and they want to place them on 1 shelf. How many books will be on each shelf?
There will be 463 books on each shelf.
To find the number of books on each shelf, divide the total books by the number of shelves.
463/1
= 463
A school has 463 students participating in a single event. How many students will attend the event?
All 463 students will attend the event.
All students are participating, so the total number attending is the total number of students.
463/1
= 463
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.