135 LearnersLast updated on May 28th, 2025
Factors of 1587
Factors are the numbers that divide any given number evenly without 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 1587, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1587?
The numbers that divide 1587 evenly are known as factors of 1587.
A factor of 1587 is a number that divides the number without remainder.
The factors of 1587 are 1, 3, 9, 176, 529, and 1587.
Negative factors of 1587: -1, -3, -9, -176, -529, and -1587.
Prime factors of 1587: 3 and 176.
Prime factorization of 1587: 3 × 529.
The sum of factors of 1587: 1 + 3 + 9 + 176 + 529 + 1587 = 2305
How to Find Factors of 1587?
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 1587. Identifying the numbers which are multiplied to get the number 1587 is the multiplication method.
Step 1: Multiply 1587 by 1, 1587 × 1 = 1587.
Step 2: Check for other numbers that give 1587 after multiplying
3 × 529 = 1587
Therefore, the positive factor pairs of 1587 are: (1, 1587) and (3, 529).
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 1587 by 1, 1587 ÷ 1 = 1587.
Step 2: Continue dividing 1587 by the numbers until the remainder becomes 0.
1587 ÷ 1 = 1587
1587 ÷ 3 = 529
Therefore, the factors of 1587 are: 1, 3, 9, 176, 529, 1587.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1587 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1587 ÷ 3 = 529
The prime factors of 1587 are 3 and 529.
The prime factorization of 1587 is: 3 × 529.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1587 is divided by 3 to get 529.
Here, 529 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1587 is: 3 × 529.
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 1587: (1, 1587) and (3, 529).
Negative factor pairs of 1587: (-1, -1587) and (-3, -529).
Common Mistakes and How to Avoid Them in Factors of 1587
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 1587, 1 and 1587 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1587 consist of -1, -3, -9, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1587/1.5 = 1058, and it 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 1587 are prime numbers.
For example, 3 is a prime factor of 1587, but it has other factors like 9 and 176.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1587 as 3 × 529 and missing all the key factors.
Factors of 1587 Examples
Problem 1
There are 3 teams and 1587 apples. How will they divide it equally?
They will get 529 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of teams.
1587/3 = 529
Problem 2
A garden is rectangular, the length of the garden is 3 meters and the total area is 1587 square meters. Find the width?
529 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1587 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1587/3 = width
Width = 529.
Problem 3
There are 9 boxes and 1587 marbles. How many marbles will be in each box?
Each box will have 176 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1587/9 = 176
Problem 4
In a class, there are 1587 students, and 529 groups. How many students are there in each group?
There are 3 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1587/529 = 3
Problem 5
1587 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 529 books.
Explanation
Divide total books by shelves.
1587/3 = 529
FAQs on Factors of 1587
1.What are the factors of 1587?
2.Mention the prime factors of 1587.
3.Is 1587, a multiple of 3?
4.Mention the factor pairs of 1587?
5.What is the square of 1587?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1587?
7.What are some fun ways kids in Indonesia can practice Factors of 1587 with numbers?
8.What role do numbers and Factors of 1587 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1587 skills?
Important Glossaries for Factor of 1587
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1587 are 1, 3, 9, 176, 529, and 1587.
- Prime factors: The factors which are prime numbers. For example, 3 is a prime factor of 1587.
- 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 1587 are (1, 1587) and (3, 529).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1587 is 3 × 529.
- Multiple: A number that can be divided by another number without a remainder. For example, 1587 is a multiple of 3.
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About BrightChamps in Indonesia
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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