100 LearnersLast updated on May 26th, 2025
Factors of 1071
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 1071, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1071?
The numbers that divide 1071 evenly are known as factors of 1071.
A factor of 1071 is a number that divides the number without remainder.
The factors of 1071 are 1, 3, 357, and 1071.
Negative factors of 1071: -1, -3, -357, and -1071.
Prime factors of 1071: 3 and 357.
Prime factorization of 1071: 3 × 357.
The sum of factors of 1071: 1 + 3 + 357 + 1071 = 1432
How to Find Factors of 1071?
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 1071. Identifying the numbers which are multiplied to get the number 1071 is the multiplication method.
Step 1: Multiply 1071 by 1, 1071 × 1 = 1071.
Step 2: Check for other numbers that give 1071 after multiplying
3 × 357 = 1071
Therefore, the positive factor pairs of 1071 are: (1, 1071) and (3, 357).
All these factor pairs result in 1071.
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 a simple division method -
Step 1: Divide 1071 by 1, 1071 ÷ 1 = 1071.
Step 2: Continue dividing 1071 by the numbers until the remainder becomes 0.
1071 ÷ 1 = 1071
1071 ÷ 3 = 357
Therefore, the factors of 1071 are: 1, 3, 357, and 1071.
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, prime factors of 1071 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1071 ÷ 3 = 357
357 ÷ 3 = 119
119 ÷ 7 = 17
17 ÷ 17 = 1
The prime factors of 1071 are 3, 7, and 17.
The prime factorization of 1071 is: 3 × 7 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1071 is divided by 3 to get 357.
Step 2: Now divide 357 by 3 to get 119.
Step 3: Then divide 119 by 7 to get 17.
Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1071 is: 3 × 7 × 17.
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 1071: (1, 1071) and (3, 357).
Negative factor pairs of 1071: (-1, -1071) and (-3, -357).
Common Mistakes and How to Avoid Them in Factors of 1071
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 1071, 1 and 1071 are also factors.
Factors of 1071 Examples
Problem 1
There are 3 teams and 1071 marbles. How will they distribute them equally among the teams?
Each team will get 357 marbles.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1071/3 = 357
Problem 2
A production line produces 1071 widgets in a day, and it operates 357 hours a day. How many widgets are produced per hour?
3 widgets.
Explanation
To find the number of widgets produced per hour, we divide the total widgets by the total hours.
1071/357 = 3
Problem 3
There are 17 boxes and 1071 candies. How many candies will be in each box?
Each box will have 63 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
1071/17 = 63
Problem 4
In a charity event, 1071 people attended, and they formed 7 groups. How many people are there in each group?
There are 153 people in each group.
Explanation
Dividing the people by the total groups, we will get the number of people in each group.
1071/7 = 153
Problem 5
1071 books need to be arranged in 357 shelves. How many books will go on each shelf?
Each of the shelves has 3 books.
Explanation
Divide total books by shelves.
1071/357 = 3
FAQs on Factors of 1071
1.What are the factors of 1071?
2.Mention the prime factors of 1071.
3.Is 1071 a multiple of 3?
4.Mention the factor pairs of 1071.
5.What is the square of 1071?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1071?
7.What are some fun ways kids in Bahrain can practice Factors of 1071 with numbers?
8.What role do numbers and Factors of 1071 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1071 skills?
Important Glossaries for Factor of 1071
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1071 are 1, 3, 357, and 1071.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 17 are prime factors of 1071.
- 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 1071 are (1, 1071) and (3, 357).
- Prime factorization: Breaking down a number into its prime number components. For example, the prime factorization of 1071 is 3 × 7 × 17.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -3, -357, and -1071 are negative factors of 1071.
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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.
