119 LearnersLast updated on May 26th, 2025
Factors of 1341
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 1341, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1341?
The numbers that divide 1341 evenly are known as factors of 1341.
A factor of 1341 is a number that divides the number without remainder.
The factors of 1341 are 1, 3, 7, 21, 63, 223, 447, and 1341.
Negative factors of 1341: -1, -3, -7, -21, -63, -223, -447, and -1341.
Prime factors of 1341: 3, 7, and 223.
Prime factorization of 1341: 3 × 7 × 223.
The sum of factors of 1341: 1 + 3 + 7 + 21 + 63 + 223 + 447 + 1341 = 2106
How to Find Factors of 1341?
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 1341. Identifying the numbers which are multiplied to get the number 1341 is the multiplication method.
Step 1: Multiply 1341 by 1, 1341 × 1 = 1341.
Step 2: Check for other numbers that give 1341 after multiplying
3 × 447 = 1341
7 × 191 = 1341
21 × 63 = 1341
Therefore, the positive factor pairs of 1341 are: (1, 1341), (3, 447), (7, 191), (21, 63).
All these factor pairs result in 1341.
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 1341 by 1, 1341 ÷ 1 = 1341.
Step 2: Continue dividing 1341 by the numbers until the remainder becomes 0.
1341 ÷ 1 = 1341
1341 ÷ 3 = 447
1341 ÷ 7 = 191
1341 ÷ 21 = 63
Therefore, the factors of 1341 are: 1, 3, 7, 21, 63, 223, 447, 1341.
Prime Factors and Prime Factorization
The factors can be found by dividing a number 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 1341 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1341 ÷ 3 = 447
447 ÷ 3 = 149
149 ÷ 7 = 21
21 ÷ 7 = 3
3 ÷ 3 = 1
The prime factors of 1341 are 3, 7, and 223.
The prime factorization of 1341 is: 3 × 7 × 223.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1341 is divided by 3 to get 447.
Step 2: Now divide 447 by 3 to get 149.
Step 3: Divide 149 by 7 to get 21.
Step 4: Divide 21 by 7 to get 3. Here, 3 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1341 is: 3 × 7 × 223.
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 1341: (1, 1341), (3, 447), (7, 191), and (21, 63).
Negative factor pairs of 1341: (-1, -1341), (-3, -447), (-7, -191), and (-21, -63).
Common Mistakes and How to Avoid Them in Factors of 1341
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1341, 1 and 1341 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1341 consist of -1, -3, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1341/1.5 = 894, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1341 are prime numbers.
For example, 3 and 7 are the prime factors of 1341, but it has other factors like 21, 63.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1341 as 3 × 7 × 223 and missing all the key factors.
Factors of 1341 Examples
Problem 1
There are 3 events and 1341 tickets. How will they distribute it equally?
They will distribute 447 tickets for each event.
Explanation
To distribute the tickets equally, we need to divide the total tickets by the number of events.
1341/3 = 447
Problem 2
A room is rectangular, the width of the room is 21 meters and the total area is 1341 square meters. Find the length?
63 meters.
Explanation
To find the length of the room, we use the formula,
Area = length × width
1341 = 21 × length
To find the value of the length, we need to shift 21 to the left side.
1341/21 = length
Length = 63.
Problem 3
There are 7 teams and 1341 players. How many players will be in each team?
Each team will have 191 players.
Explanation
To find the players in each team, divide the total players by the teams.
1341/7 = 191
Problem 4
In a library, there are 1341 books, and 21 shelves. How many books are there on each shelf?
There are 63 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1341/21 = 63
Problem 5
1341 marbles need to be arranged in 63 boxes. How many marbles will go in each box?
Each of the boxes has 21 marbles.
Explanation
Divide total marbles by boxes.
1341/63 = 21
FAQs on Factors of 1341
1.What are the factors of 1341?
2.Mention the prime factors of 1341.
3.Is 1341 a multiple of 7?
4.Mention the factor pairs of 1341?
5.What is the square of 1341?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1341?
7.What are some fun ways kids in Indonesia can practice Factors of 1341 with numbers?
8.What role do numbers and Factors of 1341 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1341 skills?
Important Glossaries for Factor of 1341
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1341 are 1, 3, 7, 21, 63, 223, 447, and 1341.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 223 are prime factors of 1341.
- 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 1341 are (1, 1341), (3, 447), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1341 is 3 × 7 × 223.
- Negative factors: These are the negative counterparts of positive factors. For example, the negative factors of 1341 are -1, -3, -7, -21, -63, -223, -447, and -1341.
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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
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