100 LearnersLast updated on May 26th, 2025
Factors of 1671
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 1671, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1671?
The numbers that divide 1671 evenly are known as factors of 1671.
A factor of 1671 is a number that divides the number without remainder.
The factors of 1671 are 1, 3, 557, and 1671.
Negative factors of 1671: -1, -3, -557, and -1671.
Prime factors of 1671: 3 and 557.
Prime factorization of 1671: 3 × 557.
The sum of factors of 1671: 1 + 3 + 557 + 1671 = 2232
How to Find Factors of 1671?
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 1671. Identifying the numbers which are multiplied to get the number 1671 is the multiplication method.
Step 1: Multiply 1671 by 1, 1671 × 1 = 1671.
Step 2: Check for other numbers that give 1671 after multiplying
3 × 557 = 1671
Therefore, the positive factor pairs of 1671 are: (1, 1671) and (3, 557). All these factor pairs result in 1671.
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 the simple division method
Step 1: Divide 1671 by 1, 1671 ÷ 1 = 1671.
Step 2: Continue dividing 1671 by the numbers until the remainder becomes 0.
1671 ÷ 1 = 1671
1671 ÷ 3 = 557
Therefore, the factors of 1671 are: 1, 3, 557, 1671.
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: In this process, prime factors of 1671 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1671 ÷ 3 = 557
557 ÷ 557 = 1
The prime factors of 1671 are 3 and 557.
The prime factorization of 1671 is: 3 × 557.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1671 is divided by 3 to get 557.
Step 2: Now divide 557 by 557 to get 1. Here, 557 is a prime number that cannot be divided further. So, the prime factorization of 1671 is: 3 × 557.
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 1671: (1, 1671) and (3, 557).
Negative factor pairs of 1671: (-1, -1671) and (-3, -557).
Common Mistakes and How to Avoid Them in Factors of 1671
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 1671, 1 and 1671 are also factors.
Factors of 1671 Examples
Problem 1
A teacher wants to distribute 1671 pencils to 3 schools equally. How many pencils does each school get?
Each school will get 557 pencils.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of schools.
1671/3 = 557
Problem 2
A rectangular garden has an area of 1671 square meters and one side of 3 meters. What is the length of the other side?
557 meters.
Explanation
To find the length of the other side, we use the formula, Area = length × width
1671 = 3 × width
To find the value of width, we need to shift 3 to the other side.
1671/3 = width
Width = 557.
Problem 3
There are 557 chairs to be arranged in 3 rows. How many chairs will be in each row?
Each row will have 186 chairs.
Explanation
To find the number of chairs in each row, divide the total chairs by the number of rows.
557/3 = 186
Problem 4
1671 apples need to be packed equally into 557 boxes. How many apples will go into each box?
Each box will have 3 apples.
Explanation
To find the number of apples in each box, divide the total apples by the number of boxes.
1671/557 = 3
Problem 5
A painter has 1671 liters of paint, which needs to be distributed in 557 containers. How many liters will each container have?
Each container will have 3 liters.
Explanation
Divide the total paint by the number of containers.
1671/557 = 3
FAQs on Factors of 1671
1.What are the factors of 1671?
2.Mention the prime factors of 1671.
3.Is 1671 a multiple of 3?
4.Mention the factor pairs of 1671?
5.What is the square of 1671?
Important Glossaries for Factor of 1671
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1671 are 1, 3, 557, and 1671.
- Prime factors: The factors which are prime numbers. For example, 3 and 557 are prime factors of 1671.
- 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 1671 are (1, 1671) and (3, 557).
- Prime factorization: Breaking down a number into its prime components. For example, the prime factorization of 1671 is 3 × 557.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 1671 is a multiple of 3.
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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.
