101 LearnersLast updated on May 26th, 2025
Factors of 671
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 671, how they are used in real life, and tips to learn them quickly.
What are the Factors of 671?
The numbers that divide 671 evenly are known as factors of 671.
A factor of 671 is a number that divides the number without a remainder.
The factors of 671 are 1, 11, 61, and 671.
Negative factors of 671: -1, -11, -61, and -671.
Prime factors of 671: 11 and 61.
Prime factorization of 671: 11 × 61.
The sum of factors of 671: 1 + 11 + 61 + 671 = 744
How to Find Factors of 671?
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 671. Identifying the numbers which are multiplied to get the number 671 is the multiplication method.
Step 1: Multiply 671 by 1, 671 × 1 = 671.
Step 2: Check for other numbers that give 671 after multiplying
11 × 61 = 671
Therefore, the positive factor pairs of 671 are: (1, 671), (11, 61).
All these factor pairs result in 671.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 671 by 1, 671 ÷ 1 = 671.
Step 2: Continue dividing 671 by the numbers until the remainder becomes 0.
671 ÷ 1 = 671
671 ÷ 11 = 61
Therefore, the factors of 671 are: 1, 11, 61, and 671.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. 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 671 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
671 ÷ 11 = 61
61 ÷ 61 = 1
The prime factors of 671 are 11 and 61.
The prime factorization of 671 is: 11 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 671 is divided by 11 to get 61.
Step 2: Now divide 61 by 61 to get 1. Here, 11 and 61 are the smallest prime numbers, that cannot be divided anymore. So, the prime factorization of 671 is: 11 × 61.
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 671: (1, 671), (11, 61).
Negative factor pairs of 671: (-1, -671), (-11, -61).
Common Mistakes and How to Avoid Them in Factors of 671
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 671, 1 and 671 are also factors.
Factors of 671 Examples
Problem 1
There are 11 friends and 671 marbles. How will they divide it equally?
They will get 61 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
671/11 = 61
Problem 2
A rectangular garden has a length of 61 meters and a total area of 671 square meters. Find the width?
11 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 671 = 61 × width
To find the value of width, we need to shift 61 to the left side.
671/61 = width
Width = 11.
Problem 3
There are 671 pages and 61 chapters in a book. How many pages will be in each chapter?
Each chapter will have 11 pages.
Explanation
To find the pages in each chapter, divide the total pages with the chapters.
671/61 = 11
Problem 4
In a class, there are 671 students, and 11 groups. How many students are there in each group?
There are 61 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
671/11 = 61
Problem 5
671 plants need to be arranged in 11 rows. How many plants will go in each row?
Each of the rows has 61 plants.
Explanation
Divide the total plants with rows.
671/11 = 61
FAQs on Factors of 671
1.What are the factors of 671?
2.Mention the prime factors of 671.
3.Is 671 a multiple of 11?
4.Mention the factor pairs of 671?
5.What is the square of 671?
Important Glossaries for Factors of 671
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 671 are 1, 11, 61, and 671.
- Prime factors: The factors which are prime numbers. For example, 11 and 61 are prime factors of 671.
- 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 671 are (1, 671) and (11, 61).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 671 is 11 × 61.
- Negative factors: The negative counterpart of the positive factors of a number. For example, the negative factors of 671 are -1, -11, -61, and -671.
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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.
