101 LearnersLast updated on May 26th, 2025
Factors of 467
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 467, how they are used in real life, and tips to learn them quickly.
What are the Factors of 467?
The numbers that divide 467 evenly are known as factors of 467.
A factor of 467 is a number that divides the number without remainder.
Since 467 is a prime number, its only factors are 1 and 467.
Negative factors of 467: -1 and -467.
Prime factors of 467: 467.
Prime factorization of 467: 467 (since it is a prime number).
The sum of factors of 467: 1 + 467 = 468
How to Find Factors of 467?
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 pairs of numbers that are multiplied to give 467.
Since 467 is a prime number, the only multiplication that results in 467 is 1 × 467.
Therefore, the positive factor pairs of 467 are: (1, 467). 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 in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 467 by 1, 467 ÷ 1 = 467.
Since 467 is a prime number, it cannot be divided evenly by any other number except 1 and 467 itself.
Therefore, the factors of 467 are: 1 and 467.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: As 467 is a prime number, it cannot be factored into any other numbers besides itself and 1.
Therefore, the prime factorization of 467 is 467.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
Since 467 is a prime number, it cannot be broken down further.
So, the prime factorization of 467 is simply 467.
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 467: (1, 467).
Negative factor pairs of 467: (-1, -467).
Common Mistakes and How to Avoid Them in Factors of 467
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 467, 1 and 467 are factors.
Factors of 467 Examples
Problem 1
A team has 467 points, and each player scores 1 point. How many players are there in the team?
There are 467 players in the team.
Explanation
To find the number of players, divide the total points by the points each player scores. 467/1 = 467
Problem 2
A ribbon is 467 meters long, and each piece is cut to be 1 meter long. How many pieces are there?
There are 467 pieces.
Explanation
To find the number of pieces, divide the total length of the ribbon by the length of each piece. 467/1 = 467
Problem 3
A library has 467 books, and each shelf holds 1 book. How many shelves are needed?
467 shelves are needed.
Explanation
To find the number of shelves needed, divide the total number of books by the number of books per shelf. 467/1 = 467
Problem 4
A stadium has 467 seats, and each row has 1 seat. How many rows are there?
There are 467 rows.
Explanation
To find the number of rows, divide the total number of seats by the number of seats per row. 467/1 = 467
Problem 5
There are 467 apples, and each basket holds 1 apple. How many baskets are required?
467 baskets are required.
Explanation
Divide the total apples by the capacity of each basket. 467/1 = 467
FAQs on Factors of 467
1.What are the factors of 467?
2.Mention the prime factors of 467.
3.Is 467 a multiple of 2?
4.Mention the factor pairs of 467?
5.What is the square of 467?
6.How can children in India use numbers in everyday life to understand Factors of 467?
7.What are some fun ways kids in India can practice Factors of 467 with numbers?
8.What role do numbers and Factors of 467 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 467 skills?
Important Glossaries for Factors of 467
- Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 467 are 1 and 467.
- Prime factors: The factors which are prime numbers. For example, 467 is the prime factor of 467.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 467 is (1, 467).
- Prime number: A number that has no divisors other than 1 and itself. For example, 467 is a prime number.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 467 is 467.
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About BrightChamps in India
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.
