122 LearnersLast updated on June 9th, 2025
Factors of 1487
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 1487, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1487?
The numbers that divide 1487 evenly are known as factors of 1487.
A factor of 1487 is a number that divides the number without a remainder.
The factors of 1487 are 1 and 1487.
Negative factors of 1487: -1 and -1487.
Prime factors of 1487: 1487 (since 1487 is a prime number).
Prime factorization of 1487: 1487.
The sum of factors of 1487: 1 + 1487 = 1488
How to Find Factors of 1487?
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 pairs of numbers that are multiplied to give 1487. Since 1487 is a prime number, the multiplication method involves only the number itself and 1.
Step 1: Multiply 1487 by 1, 1487 × 1 = 1487.
Therefore, the positive factor pair of 1487 is: (1, 1487).
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 1487 by 1, 1487 ÷ 1 = 1487.
Step 2: Continue dividing 1487 by numbers greater than 1. Since 1487 is a prime number, it is only divisible by itself and 1.
Therefore, the factors of 1487 are: 1 and 1487.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: Since 1487 is a prime number, it cannot be broken down into smaller prime factors.
The prime factorization of 1487 is simply 1487.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1487 is a prime number, the factor tree will only consist of the number itself.
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 pair of 1487: (1, 1487).
Negative factor pair of 1487: (-1, -1487).
Common Mistakes and How to Avoid Them in Factors of 1487
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 1487, 1 and 1487 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 1487 include -1 and -1487.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1487/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1487 are prime numbers is incorrect because 1 is not a prime number.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not recognizing that 1487 is a prime number and mistakenly breaking it down further.
Factors of 1487 Examples
Problem 1
There are 2 classes and 1487 students. How will they divide it equally?
It is not possible to divide students equally between 2 classes because 1487 is a prime number.
Explanation
Since 1487 is a prime number, it cannot be divided evenly except by 1 and 1487 itself.
Problem 2
A rectangular banner has an area of 1487 square meters and a width of 1 meter. Find the length?
1487 meters.
Explanation
To find the length of the banner, we use the formula: Area = length × width
1487 = length × 1
Therefore, length = 1487 meters.
Problem 3
If a group has 1 person, how many groups can you form with 1487 people?
You can form 1487 groups.
Explanation
Since each group has 1 person, the total number of groups is equal to the total number of people, which is 1487.
Problem 4
A shipment has 1487 boxes, each containing 1 item. How many items are there in total?
There are 1487 items in total.
Explanation
Since each box contains 1 item, the total number of items is equal to the number of boxes, which is 1487.
Problem 5
1487 books are to be arranged in 1 shelf. How many books will go on each shelf?
All 1487 books will go on the single shelf.
Explanation
Since there is only 1 shelf, all the books will be placed on it.
FAQs on Factors of 1487
1.What are the factors of 1487?
2.Mention the prime factors of 1487.
3.Is 1487 a multiple of 4?
4.Mention the factor pairs of 1487.
5.What is the square of 1487?
Important Glossaries for Factors of 1487
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1487 are 1 and 1487.
- Prime number: A number that has exactly two distinct factors, 1 and itself. For example, 1487 is a prime number.
- Prime factors: The factors which are prime numbers. For example, 1487 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 1487 is (1, 1487).
- Division method: A method to find factors by dividing the number by whole numbers and checking for zero remainders.
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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.
