101 LearnersLast updated on May 27th, 2025
Factors of 1187
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 1187, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1187?
The numbers that divide 1187 evenly are known as factors of 1187.
A factor of 1187 is a number that divides the number without a remainder.
Since 1187 is a prime number, its factors are 1 and 1187.
Negative factors of 1187: -1 and -1187.
Prime factors of 1187: 1187.
Prime factorization of 1187: 1187.
The sum of factors of 1187: 1 + 1187 = 1188
How to Find Factors of 1187?
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 1187. Since 1187 is a prime number, the multiplication method only shows it can be expressed as a multiplication of 1 and itself.
Step 1: Multiply 1187 by 1, 1187 × 1 = 1187.
Therefore, the positive factor pairs of 1187 are: (1, 1187).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1187 by 1, 1187 ÷ 1 = 1187.
Step 2: Continue dividing 1187 by other numbers and find that no other numbers divide 1187 without a remainder except 1187 itself.
Therefore, the factors of 1187 are: 1 and 1187.
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, the prime factor of 1187 divides the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 1187 is already a prime number, it cannot be broken down further. The prime factors of 1187 are 1187.
The prime factorization of 1187 is: 1187.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1187 is a prime number, a factor tree would simply show: 1187 The prime factorization of 1187 is: 1187.
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 1187: (1, 1187).
Negative factor pairs of 1187: (-1, -1187).
Common Mistakes and How to Avoid Them in Factors of 1187
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 1187, 1 and 1187 are factors.
Factors of 1187 Examples
Problem 1
A group of 1187 students is participating in a competition. How can they be divided into groups with each group containing an equal number of students?
Each group must have either 1 or 1187 students for equal distribution.
Explanation
Since 1187 is a prime number, the only way to divide them equally is by having 1 student per group or all 1187 students in one group.
Problem 2
A garden has 1187 flowers planted in a single line. How can they be grouped into equal rows?
The flowers can only be grouped into 1 row or 1187 rows of flowers.
Explanation
Since 1187 is a prime number, a single row of 1187 flowers or 1187 rows of 1 flower each are the only options.
Problem 3
A library has 1187 books. How can these books be arranged on shelves so that each shelf has the same number of books?
Each shelf can have either 1 or 1187 books.
Explanation
Since 1187 is a prime number, the books can only be divided into one shelf containing all 1187 books or 1187 shelves each containing 1 book.
Problem 4
A marathon with 1187 participants needs to be divided into equal groups for a relay. How can they be grouped?
They can be grouped into 1 group of 1187 or 1187 groups of 1 participant.
Explanation
Since 1187 is a prime number, it can only be divided into 1 full group or 1187 individual groups.
Problem 5
A classroom has 1187 chairs to be arranged equally in rows. How can this be achieved?
The chairs can be arranged in 1 row of 1187 chairs or 1187 rows of 1 chair each.
Explanation
Since 1187 is a prime number, the chairs can only be divided into one full row of 1187 chairs or 1187 rows of 1 chair each.
FAQs on Factors of 1187
1.What are the factors of 1187?
2.Mention the prime factors of 1187.
3.Is 1187 a multiple of 2?
4.Mention the factor pairs of 1187.
5.Is 1187 a prime number?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1187?
7.What are some fun ways kids in Qatar can practice Factors of 1187 with numbers?
8.What role do numbers and Factors of 1187 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1187 skills?
Important Glossaries for Factors of 1187
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1187 are 1 and 1187.
- Prime factors: The factors which are prime numbers. For example, 1187 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1187 is (1, 1187).
- Prime Numbers: Numbers that have exactly two distinct positive divisors: 1 and the number itself. For example, 1187 is a prime number.
- Division Method: A method to find factors by dividing the number by integers to see which results in a whole number quotient. For example, using this method confirms 1187 is only divisible by 1 and 1187.
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About BrightChamps in Qatar
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.
