101 LearnersLast updated on May 26th, 2025
Factors of 1471
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 1471, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1471?
The numbers that divide 1471 evenly are known as factors of 1471.
A factor of 1471 is a number that divides the number without remainder.
The factors of 1471 are 1 and 1471.
Negative factors of 1471: -1 and -1471.
Prime factors of 1471: 1471.
Prime factorization of 1471: 1471 (since it's a prime number).
The sum of factors of 1471: 1 + 1471 = 1472
How to Find Factors of 1471?
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 1471. Since 1471 is a prime number, the only multiplication pair is:
Step 1: Multiply 1471 by 1, 1471 × 1 = 1471.
Therefore, the positive factor pair of 1471 is: (1, 1471).
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 1471 by 1, 1471 ÷ 1 = 1471.
Step 2: Check if dividing 1471 by any number other than 1 and itself results in a whole number.
Therefore, the factors of 1471 are: 1 and 1471.
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, since 1471 is a prime number, it cannot be divided further.
The prime factorization of 1471 is simply 1471 itself.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors.
However, as 1471 is a prime number, it cannot be broken down further.
So, the prime factorization of 1471 is simply 1471 itself.
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 pair of 1471: (1, 1471).
Negative factor pair of 1471: (-1, -1471).
Common Mistakes and How to Avoid Them in Factors of 1471
Mistakes are common while finding factors. We can identify and correct these 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 factors. 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 1471, 1 and 1471 are also factors.
Factors of 1471 Examples
Problem 1
There are 1471 pages to be split between 1 book. How many pages will each book have?
The book will have 1471 pages.
Explanation
To distribute the pages equally in one book, we calculate:
1471/1 = 1471
Problem 2
A garden plot is rectangular, the length of the plot is 1471 meters, and the total area is 1471 square meters. What is the width?
1 meter.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1471 = 1471 × width
To find the value of width, we solve:
1471/1471 = width
Width = 1.
Problem 3
A single shelf needs to hold 1471 books. How many books will go on the shelf?
The shelf will have 1471 books.
Explanation
To determine how many books will be on the shelf, calculate the total books divided by the number of shelves:
1471/1 = 1471
Problem 4
There is a class with 1471 students and only 1 group. How many students are there in each group?
There are 1471 students in the group.
Explanation
Dividing the students among the groups, we get the number of students in each group:
1471/1 = 1471
Problem 5
A single table can hold 1471 chairs. How many chairs will go on the table?
The table will have 1471 chairs.
Explanation
Dividing the total number of chairs by the number of tables gives:
1471/1 = 1471
FAQs on Factors of 1471
1.What are the factors of 1471?
2.Mention the prime factors of 1471.
3.Is 1471 a multiple of 1?
4.Mention the factor pair of 1471?
5.Is 1471 a prime number?
Important Glossaries for Factors of 1471
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1471 are 1 and 1471.
- Prime numbers: A number greater than 1 that has no divisors other than 1 and itself. For example, 1471.
- 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 1471 is (1, 1471).
- Prime factorization: Expressing a number as a product of its prime factors. For example, 1471 as 1471 itself since it is a prime.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1 and -1471 are negative factors of 1471.
Explore More numbers
Previous to Factors of 1471
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.
