133 LearnersLast updated on May 28th, 2025
Factors of 1588
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.
What are the Factors of 1588?
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
How to Find Factors of 1588?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1588
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 1588, 1 and 1588 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 1588 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1588/1.5 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 1588 are prime numbers.
For example, 2 and 397 are the prime factors of 1588, but it has other factors like 4, 794.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1588 as 2² × 397 and missing all the key factors.
Factors of 1588 Examples
Problem 1
There are 4 friends and 1588 candies. How will they divide it equally?
They will get 397 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1588/4 = 397
Problem 2
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.
Explanation
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.
Problem 3
There are 2 storage bins and 1588 marbles. How many marbles will be in each bin?
Each bin will have 794 marbles.
Explanation
To find the marbles in each bin, divide the total marbles by the bins.
1588/2 = 794
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1588/397 = 4
Problem 5
1588 seeds need to be planted in 1588 pots. How many seeds will go in each pot?
Each of the pots has 1 seed.
Explanation
Divide total seeds by pots.
1588/1588 = 1
FAQs on Factors of 1588
1.What are the factors of 1588?
2.Mention the prime factors of 1588.
3.Is 1588 a multiple of 4?
4.Mention the factor pairs of 1588?
5.What is the square of 1588?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1588?
7.What are some fun ways kids in Vietnam can practice Factors of 1588 with numbers?
8.What role do numbers and Factors of 1588 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1588 skills?
Important Glossaries for Factors of 1588
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1588 are 1, 2, 4, 397, 794, and 1588.
- Prime factors: The factors which are prime numbers. For example, 2 and 397 are prime factors of 1588.
- 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 1588 are (1, 1588), (2, 794), etc.
- Prime factorization: Breaking down a number into its basic prime numbers. For example, the prime factorization of 1588 is 2² × 397.
- Multiple: A number that can be divided by another number without a remainder. For example, 1588 is a multiple of 4.
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About BrightChamps in Vietnam
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.
