100 LearnersLast updated on May 26th, 2025
Factors of 1987
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 1987, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1987?
The numbers that divide 1987 evenly are known as factors of 1987.
A factor of 1987 is a number that divides the number without a remainder.
The factors of 1987 are 1, 1987.
Negative factors of 1987: -1, -1987.
Prime factors of 1987: 1987 (since 1987 is a prime number).
Prime factorization of 1987: 1987.
The sum of factors of 1987: 1 + 1987 = 1988
How to Find Factors of 1987?
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 1987. Since 1987 is a prime number, it only has 1 and itself as factor pairs.
Step 1: Multiply 1987 by 1, 1987 × 1 = 1987.
Therefore, the only positive factor pair of 1987 is: (1, 1987).
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 in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1987 by 1, 1987 ÷ 1 = 1987.
Since 1987 is a prime number, it cannot be divided by any other number than 1 and 1987.
Therefore, the factors of 1987 are: 1, 1987.
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 Prime Factorization: In this process, prime factors of 1987 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 1987 is a prime number, its only prime factor is itself: 1987.
The prime factorization of 1987 is: 1987.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1987 is a prime number, it does not have any breakdown other than itself.
So, the prime factorization of 1987 is simply: 1987.
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 1987: (1, 1987).
Negative factor pairs of 1987: (-1, -1987).
Common Mistakes and How to Avoid Them in Factors of 1987
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 1987, 1 and 1987 are factors.
Factors of 1987 Examples
Problem 1
There are 2 friends and 1987 marbles. How will they divide them equally?
They cannot divide the marbles equally.
Explanation
Since 1987 is a prime number, it cannot be divided equally by any number other than 1 and 1987.
Problem 2
A plot of land is square-shaped with an area of 1987 square meters. What is the length of one side?
The length cannot be a whole number.
Explanation
To find the length of one side, we use the formula,
Area = side × side
1987 is not a perfect square,
so the side length will not be a whole number.
Problem 3
There are 1987 beads, and they need to be arranged in rows of equal length. What is the maximum number of beads that can be in one row?
1987 beads.
Explanation
Since 1987 is a prime number, it cannot be divided into rows of equal length other than 1 row of 1987 beads.
Problem 4
A company has 1987 employees. They want to form teams with an equal number of employees in each team. How many teams can they form?
1 team of 1987 employees.
Explanation
As 1987 is a prime number, it can only be divided into 1 team of 1987 employees.
Problem 5
1987 trees are to be planted in a single row. How many trees will be in each row?
1987 trees.
Explanation
Since 1987 is a prime number, it can only form one complete row of 1987 trees.
FAQs on Factors of 1987
1.What are the factors of 1987?
2.Mention the prime factors of 1987.
3.Is 1987 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1987.
5.What is the square of 1987?
6.How can children in Canada use numbers in everyday life to understand Factors of 1987?
7.What are some fun ways kids in Canada can practice Factors of 1987 with numbers?
8.What role do numbers and Factors of 1987 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1987 skills?
Important Glossaries for Factors of 1987
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1987 are 1 and 1987.
- Prime factors: The factors which are prime numbers. For example, 1987 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 1987 is (1, 1987).
- Prime number: A number greater than 1 that has no factors other than 1 and itself. For example, 1987 is a prime number.
- Division method: A method to find factors by dividing the number by whole numbers to see if the remainder is zero. For example, when dividing 1987 by 1, the remainder is zero.
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About BrightChamps in Canada
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.
