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 1588, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1588 evenly are known as factors of 1588.
A factor of 1588 is a number that divides the number without remainder.
The factors of 1588 are 1, 2, 4, 397, 794, and 1588.
Negative factors of 1588: -1, -2, -4, -397, -794, and -1588.
Prime factors of 1588: 2 and 397.
Prime factorization of 1588: 2² × 397.
The sum of factors of 1588: 1 + 2 + 4 + 397 + 794 + 1588 = 2786
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 1588. Identifying the numbers which are multiplied to get the number 1588 is the multiplication method.
Step 1: Multiply 1588 by 1, 1588 × 1 = 1588.
Step 2: Check for other numbers that give 1588 after multiplying:
2 × 794 = 1588
4 × 397 = 1588
Therefore, the positive factor pairs of 1588 are: (1, 1588), (2, 794), (4, 397).
All these factor pairs result in 1588.
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 as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1588 by 1, 1588 ÷ 1 = 1588.
Step 2: Continue dividing 1588 by the numbers until the remainder becomes 0.
1588 ÷ 1 = 1588
1588 ÷ 2 = 794
1588 ÷ 4 = 397
Therefore, the factors of 1588 are: 1, 2, 4, 397, 794, 1588.
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 1588 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1588 ÷ 2 = 794
794 ÷ 2 = 397
397 is a prime number
The prime factors of 1588 are 2 and 397.
The prime factorization of 1588 is: 2² × 397.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1588 is divided by 2 to get 794.
Step 2: Now divide 794 by 2 to get 397.
Step 3: 397 is a prime number and cannot be divided further.
So, the prime factorization of 1588 is: 2² × 397.
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 1588: (1, 1588), (2, 794), (4, 397).
Negative factor pairs of 1588: (-1, -1588), (-2, -794), (-4, -397).
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 4 friends and 1588 candies. How will they divide it equally?
They will get 397 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
1588/4 = 397
A garden is rectangular, the length of the garden is 794 meters, and the total area is 1588 square meters. Find the width.
2 meters.
To find the width of the garden, we use the formula,
Area = length × width
1588 = 794 × width
To find the value of width, we need to shift 794 to the left side.
1588/794 = width
Width = 2.
There are 2 storage bins and 1588 marbles. How many marbles will be in each bin?
Each bin will have 794 marbles.
To find the marbles in each bin, divide the total marbles by the bins.
1588/2 = 794
In a class, there are 1588 students, and 397 groups. How many students are there in each group?
There are 4 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1588/397 = 4
1588 seeds need to be planted in 1588 pots. How many seeds will go in each pot?
Each of the pots has 1 seed.
Divide total seeds by pots.
1588/1588 = 1
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.