100 LearnersLast updated on May 26th, 2025
Factors of 1291
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 1291, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1291?
The numbers that divide 1291 evenly are known as factors of 1291.
A factor of 1291 is a number that divides the number without a remainder.
The factors of 1291 are 1, 11, 17, 77, 19, 209, 901, and 1291.
Negative factors of 1291: -1, -11, -17, -77, -19, -209, -901, and -1291.
Prime factors of 1291: 11, 17, and 19.
Prime factorization of 1291: 11 × 17 × 19.
The sum of factors of 1291: 1 + 11 + 17 + 77 + 19 + 209 + 901 + 1291 = 2526
How to Find Factors of 1291?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1291. Identifying the numbers which are multiplied to get the number 1291 is the multiplication method.
Step 1: Multiply 1291 by 1, 1291 × 1 = 1291.
Step 2: Check for other numbers that give 1291 after multiplying
11 × 117 = 1291
17 × 76 = 1291
19 × 68 = 1291
Therefore, the positive factor pairs of 1291 are: (1, 1291), (11, 117), (17, 76), (19, 68).
All these factor pairs result in 1291. 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 1291 by 1, 1291 ÷ 1 = 1291.
Step 2: Continue dividing 1291 by the numbers until the remainder becomes 0.
1291 ÷ 1 = 1291
1291 ÷ 11 = 117
1291 ÷ 17 = 76
1291 ÷ 19 = 68
Therefore, the factors of 1291 are: 1, 11, 17, 19, 76, 68, 117, 1291.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1291 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1291 ÷ 11 = 117
117 ÷ 17 = 6.8823 (approximately 7, so it stops here)
Therefore, the prime factors of 1291 are 11, 17, and 19.
The prime factorization of 1291 is: 11 × 17 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1291 is divided by 11 to get 117.
Step 2: Now divide 117 by 17 to get approximately 6.8823.
Step 3: Since 6.8823 is not a whole number, proceed to check for other factors.
Step 4: The next prime factor is 19 and 1291 ÷ 19 = 68.
So, the prime factorization of 1291 is: 11 × 17 × 19.
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 1291: (1, 1291), (11, 117), (17, 76), and (19, 68).
Negative factor pairs of 1291: (-1, -1291), (-11, -117), (-17, -76), and (-19, -68).
Common Mistakes and How to Avoid Them in Factors of 1291
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 1291, 1 and 1291 are also factors.
Factors of 1291 Examples
Problem 1
There are 11 teams and 1291 players. How will they divide the players equally?
They will get 117 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
1291/11 = 117
Problem 2
A garden is rectangular, the length of the garden is 17 meters and the total area is 1291 square meters. Find the width?
76 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1291 = 17 × width
To find the value of width, we need to shift 17 to the left side.
1291/17 = width
Width = 76.
Problem 3
There are 19 boxes and 1291 marbles. How many marbles will be in each box?
Each box will have 68 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1291/19 = 68
Problem 4
In a hall, there are 1291 chairs and 17 rows. How many chairs are there in each row?
There are 76 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1291/17 = 76
Problem 5
1291 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 117 books.
Explanation
Divide total books by shelves.
1291/11 = 117
FAQs on Factors of 1291
1.What are the factors of 1291?
2.Mention the prime factors of 1291.
3.Is 1291 a multiple of 11?
4.Mention the factor pairs of 1291?
5.What is the square of 1291?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1291?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1291 with numbers?
8.What role do numbers and Factors of 1291 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1291 skills?
Important Glossaries for Factors of 1291
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1291 are 1, 11, 17, 19, 76, 68, 117, 1291.
- Prime factors: The factors which are prime numbers. For example, 11, 17, and 19 are prime factors of 1291
- 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 1291 are (1, 1291), (11, 117), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1291 is 11 × 17 × 19.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in United Arab Emirates
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.
