120 LearnersLast updated on May 26th, 2025
Factors of 1041
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 1041, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1041?
The numbers that divide 1041 evenly are known as factors of 1041.
A factor of 1041 is a number that divides the number without a remainder.
The factors of 1041 are 1, 3, 347, and 1041.
Negative factors of 1041: -1, -3, -347, and -1041.
Prime factors of 1041: 3 and 347.
Prime factorization of 1041: 3 × 347.
The sum of factors of 1041: 1 + 3 + 347 + 1041 = 1392
How to Find Factors of 1041?
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 1041. Identifying the numbers that are multiplied to get the number 1041 is the multiplication method.
Step 1: Multiply 1041 by 1, 1041 × 1 = 1041.
Step 2: Check for other numbers that give 1041 after multiplying:
3 × 347 = 1041
Therefore, the positive factor pairs of 1041 are: (1, 1041) and (3, 347). All these factor pairs result in 1041. 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 that result as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1041 by 1, 1041 ÷ 1 = 1041.
Step 2: Continue dividing 1041 by the numbers until the remainder becomes 0.
1041 ÷ 1 = 1041
1041 ÷ 3 = 347
Therefore, the factors of 1041 are: 1, 3, 347, 1041.
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 1041 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1041 ÷ 3 = 347
347 ÷ 347 = 1
The prime factors of 1041 are 3 and 347.
The prime factorization of 1041 is: 3 × 347.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1041 is divided by 3 to get 347.
Step 2: Now divide 347 by 347 to get 1. Here, 347 is a prime number and cannot be divided anymore. So, the prime factorization of 1041 is: 3 × 347.
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 1041: (1, 1041) and (3, 347).
Negative factor pairs of 1041: (-1, -1041) and (-3, -347).
Common Mistakes and How to Avoid Them in Factors of 1041
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1041, 1 and 1041 are also factors.
Mistake 2
Missing Negative Factors
We have often used only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1041 consist of -1, -3, -347, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1041/1.5 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 1041 are prime numbers. For example, 3 and 347 are the prime factors of 1041, but it has other factors like 1, 1041.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 1041 as 3 × 347 and missing all the key factors.
Factors of 1041 Examples
Problem 1
A farmer has 1041 apples and wants to distribute them equally among 3 baskets. How many apples will each basket contain?
Each basket will contain 347 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1041/3 = 347
Problem 2
A painting is rectangular, the width of the painting is 3 meters and the total area is 1041 square meters. Find the length.
347 meters.
Explanation
To find the length of the painting, we use the formula,
Area = length × width
1041 = length × 3
To find the value of length, we need to divide 1041 by 3.
1041/3 = length
Length = 347.
Problem 3
There are 1041 students and 347 teams. How many students will be in each team?
Each team will have 3 students.
Explanation
To find the number of students in each team, divide the total number of students by the number of teams.
1041/347 = 3
Problem 4
A library has 1041 books and wants to arrange them equally on 3 shelves. How many books will go on each shelf?
Each shelf will have 347 books.
Explanation
Divide the total number of books by the number of shelves.
1041/3 = 347
Problem 5
1041 marbles need to be packed into boxes. If each box holds 347 marbles, how many boxes are needed?
3 boxes are needed.
Explanation
Divide the total number of marbles by the capacity of each box. 1041/347 = 3
FAQs on Factors of 1041
1.What are the factors of 1041?
2.Mention the prime factors of 1041.
3.Is 1041 a multiple of 3?
4.Mention the factor pairs of 1041?
5.What is the square of 1041?
Important Glossaries for Factors of 1041
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1041 are 1, 3, 347, and 1041.
- Prime factors: The factors which are prime numbers. For example, 3 and 347 are prime factors of 1041.
- 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 1041 are (1, 1041) and (3, 347).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1041 is 3 × 347.
- Negative factors: The negative counterparts of the positive factors. For example, the negative factors of 1041 are -1, -3, -347, and -1041.
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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.
