101 LearnersLast updated on May 26th, 2025
Factors of 471
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 471, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 471?
The numbers that divide 471 evenly are known as factors of 471.
A factor of 471 is a number that divides the number without remainder.
The factors of 471 are 1, 3, 157, and 471.
Negative factors of 471: -1, -3, -157, and -471.
Prime factors of 471: 3 and 157.
Prime factorization of 471: 3 × 157. The sum of factors of 471: 1 + 3 + 157 + 471 = 632
How to Find Factors of 471?
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 471. Identifying the numbers which are multiplied to get the number 471 is the multiplication method.
Step 1: Multiply 471 by 1, 471 × 1 = 471.
Step 2: Check for other numbers that give 471 after multiplying
3 × 157 = 471
Therefore, the positive factor pairs of 471 are: (1, 471) and (3, 157).
All these factor pairs result in 471.
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 471 by 1, 471 ÷ 1 = 471.
Step 2: Continue dividing 471 by the numbers until the remainder becomes 0.
471 ÷ 1 = 471
471 ÷ 3 = 157
Therefore, the factors of 471 are: 1, 3, 157, 471.
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 471 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
471 ÷ 3 = 157
157 ÷ 157 = 1
The prime factors of 471 are 3 and 157.
The prime factorization of 471 is: 3 × 157.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 471 is divided by 3 to get 157.
Step 2: Now divide 157 by 157 to get 1. Here, 157 is a prime number, and it cannot be divided anymore. So, the prime factorization of 471 is: 3 × 157.
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 471: (1, 471) and (3, 157).
Negative factor pairs of 471: (-1, -471) and (-3, -157).
Common Mistakes and How to Avoid Them in Factors of 471
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 471, 1 and 471 are also factors.
Factors of 471 Examples
Problem 1
There are 3 teams and 471 apples. How will they divide it equally?
They will get 157 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
471 ÷ 3 = 157
Problem 2
A wall is rectangular, the length of the wall is 3 meters and the total area is 471 square meters. Find the width.
157 meters.
Explanation
To find the width of the wall, we use the formula,
Area = length × width
471 = 3 × width
To find the value of width, we need to shift 3 to the left side.
471 ÷ 3 = width
Width = 157.
Problem 3
There are 471 candies and 1 jar. How many candies will be in the jar?
The jar will have 471 candies.
Explanation
To find the candies in each jar, divide the total candies by the number of jars.
471 ÷ 1 = 471
Problem 4
In a class, there are 471 students, and 3 groups. How many students are there in each group?
There are 157 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
471 ÷ 3 = 157
Problem 5
471 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 157 books.
Explanation
Divide total books by shelves.
471 ÷ 3 = 157
FAQs on Factors of 471
1.What are the factors of 471?
2.Mention the prime factors of 471.
3.Is 471 a multiple of 3?
4.Mention the factor pairs of 471?
5.What is the square of 471?
6.How can children in Singapore use numbers in everyday life to understand Factors of 471?
7.What are some fun ways kids in Singapore can practice Factors of 471 with numbers?
8.What role do numbers and Factors of 471 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 471 skills?
Important Glossaries for Factors of 471
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 471 are 1, 3, 157, and 471.
- Prime factors: The factors which are prime numbers. For example, 3 and 157 are prime factors of 471.
- 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 471 are (1, 471) and (3, 157).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 471 is 3 × 157.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in Singapore
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.
