Last updated on May 28th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 teams and 1587 apples. How will they divide it equally?
They will get 529 apples each.
To divide the apples equally, we need to divide the total apples with the number of teams.
1587/3 = 529
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.
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.
There are 9 boxes and 1587 marbles. How many marbles will be in each box?
Each box will have 176 marbles.
To find the marbles in each box, divide the total marbles by the boxes.
1587/9 = 176
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.
Dividing the students with the total groups, we will get the number of students in each group.
1587/529 = 3
1587 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 529 books.
Divide total books by shelves.
1587/3 = 529
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.
: She loves to read number jokes and games.