135 LearnersLast updated on May 26th, 2025
Factors of 1151
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1151, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1151?
The numbers that divide 1151 evenly are known as factors of 1151. A factor of 1151 is a number that divides the number without remainder. The factors of 1151 are 1 and 1151.
Negative factors of 1151: -1 and -1151.
Prime factorization of 1151: 1151 is a prime number, so it has no prime factors other than itself.
The sum of factors of 1151: 1 + 1151 = 1152
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How to Find Factors of 1151?
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 identify the pairs of numbers that multiply to give 1151. Since 1151 is a prime number, it can only be represented as 1151 × 1 or 1 × 1151.
Therefore, the positive factor pairs of 1151 are: (1, 1151). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1151 by 1, 1151 ÷ 1 = 1151.
Step 2: Check divisibility by other numbers until the square root of 1151. Since no other numbers divide 1151 evenly, it confirms 1151 is prime. Therefore, the factors of 1151 are: 1 and 1151.
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 method:
- Using prime factorization
- Using Prime Factorization:
Since 1151 is a prime number, it cannot be broken down into smaller prime factors. Therefore, 1151 itself is the prime factorization of 1151.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1151 is a prime number, it cannot be further divided into other prime numbers. So, the factor tree for 1151 would simply show 1151 as a terminal node with no breakdown.
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 1151: (1, 1151).
- Negative factor pairs of 1151: (-1, -1151).
Common Mistakes and How to Avoid Them in Factors of 1151
Mistakes are common while finding factors. We can identify and correct these mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
People might forget to include the given number itself and 1 as factors. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself. For example, in factors of 1151, 1 and 1151 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors. For example, the factors of 1151 include -1 and -1151.
Mistake 3
Including the Fraction
People might sometimes mistakenly consider fractions as factors. Only whole numbers can be factors. For example, thinking 1.5 as a factor, because 1151/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes. For example, thinking all factors of 1151 should be prime numbers. However, 1151 itself is a prime number and does not have other prime factors.
Mistake 5
Mistake in Factorization
People might skip the steps in determining factorization and end up with incorrect factors. For example, incorrectly assuming additional factors for 1151 when it is a prime number with no other factors.
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Factors of 1151 Examples
Problem 1
There are 1151 marbles and 1 basket. How will they distribute the marbles?
All 1151 marbles will go into the basket.
Explanation
To distribute the marbles, put all marbles into the basket. Since there is only 1 basket, all marbles will go into it.
Problem 2
A single rope is 1151 meters long. If you cut it into 1-meter pieces, how many pieces will you have?
You will have 1151 pieces.
Explanation
To find the number of pieces, divide the total length by the length of each piece.
1151/1 = 1151
Problem 3
A garden has an area of 1151 square meters and is in the shape of a square. What is the length of each side?
The length of each side is not an integer, so 1151 cannot form a perfect square.
Explanation
Since 1151 is not a perfect square, the side length of a square garden with an area of 1151 square meters is not a whole number.
Problem 4
There are 1151 books and 1 shelf. How many books will go on the shelf?
All 1151 books will go on the shelf.
Explanation
Divide the total number of books by the number of shelves.
1151/1 = 1151
Problem 5
A farmer has 1151 apples and distributes them equally into 1 basket. How many apples are in the basket?
The basket contains all 1151 apples.
Explanation
Since there is only 1 basket, all apples are placed in it.
1151/1 = 1151
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FAQs on Factors of 1151
1.What are the factors of 1151?
2.Is 1151 a prime number?
3.Can 1151 be divided evenly by any number besides 1 and itself?
4.What is the prime factorization of 1151?
5.How many factors does 1151 have?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1151?
7.What are some fun ways kids in Indonesia can practice Factors of 1151 with numbers?
8.What role do numbers and Factors of 1151 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1151 skills?
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Important Glossaries for Factors of 1151
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1151 are 1 and 1151.
- Prime factorization: Expressing a number as the product of its prime factors. For 1151, it is 1151 itself.
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. 1151 is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. The factor pair of 1151 is (1, 1151).
- Negative factors: Factors that are the negative counterparts of positive factors. For 1151, these are -1 and -1151.
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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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