101 LearnersLast updated on May 26th, 2025
Factors of 1988
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 1988, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1988?
The numbers that divide 1988 evenly are known as factors of 1988.
A factor of 1988 is a number that divides the number without remainder.
The factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, and 1988.
Negative factors of 1988: -1, -2, -4, -7, -14, -28, -71, -142, -284, -497, -994, and -1988.
Prime factors of 1988: 2, 7, and 71.
Prime factorization of 1988: 2² × 7 × 71.
The sum of factors of 1988: 1 + 2 + 4 + 7 + 14 + 28 + 71 + 142 + 284 + 497 + 994 + 1988 = 4032
How to Find Factors of 1988?
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 1988. Identifying the numbers which are multiplied to get the number 1988 is the multiplication method.
Step 1: Multiply 1988 by 1, 1988 × 1 = 1988.
Step 2: Check for other numbers that give 1988 after multiplying
2 × 994 = 1988
4 × 497 = 1988
7 × 284 = 1988
14 × 142 = 1988
28 × 71 = 1988
Therefore, the positive factor pairs of 1988 are: (1, 1988), (2, 994), (4, 497), (7, 284), (14, 142), (28, 71).
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 a simple division method
Step 1: Divide 1988 by 1, 1988 ÷ 1 = 1988.
Step 2: Continue dividing 1988 by the numbers until the remainder becomes 0.
1988 ÷ 1 = 1988
1988 ÷ 2 = 994
1988 ÷ 4 = 497
1988 ÷ 7 = 284
1988 ÷ 14 = 142
1988 ÷ 28 = 71
Therefore, the factors of 1988 are: 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988.
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 1988 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1988 ÷ 2 = 994
994 ÷ 2 = 497
497 ÷ 7 = 71
71 ÷ 71 = 1
The prime factors of 1988 are 2, 7, and 71.
The prime factorization of 1988 is: 2² × 7 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1988 is divided by 2 to get 994.
Step 2: Now divide 994 by 2 to get 497.
Step 3: Then divide 497 by 7 to get 71.
Step 4: Divide 71 by 71 to get 1. So, the prime factorization of 1988 is: 2² × 7 × 71.
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 1988: (1, 1988), (2, 994), (4, 497), (7, 284), (14, 142), (28, 71).
Negative factor pairs of 1988: (-1, -1988), (-2, -994), (-4, -497), (-7, -284), (-14, -142), (-28, -71).
Common Mistakes and How to Avoid Them in Factors of 1988
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 1988, 1 and 1988 are also factors.
Factors of 1988 Examples
Problem 1
There are 28 students and 1988 stickers. How will they divide it equally?
They will get 71 stickers each.
Explanation
To divide the stickers equally, we need to divide the total stickers with the number of students.
1988/28 = 71
Problem 2
A rectangular garden has a length of 71 meters and a total area of 1988 square meters. Find the width.
28 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1988 = 71 × width
To find the value of width, we need to shift 71 to the left side.
1988/71 = width
Width = 28.
Problem 3
There are 142 gift bags and 1988 candies. How many candies will be in each bag?
Each bag will have 14 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
1988/142 = 14
Problem 4
In a company event, there are 1988 attendees and 71 tables. How many attendees are there at each table?
There are 28 attendees at each table.
Explanation
Dividing the attendees with the total tables, we will get the number of attendees at each table.
1988/71 = 28
Problem 5
1988 pages need to be distributed across 497 notebooks. How many pages will go in each notebook?
Each notebook will have 4 pages.
Explanation
Divide total pages with notebooks.
1988/497 = 4
FAQs on Factors of 1988
1.What are the factors of 1988?
2.Mention the prime factors of 1988.
3.Is 1988 a multiple of 4?
4.Mention the factor pairs of 1988?
5.What is the square of 1988?
6.How can children in Australia use numbers in everyday life to understand Factors of 1988?
7.What are some fun ways kids in Australia can practice Factors of 1988 with numbers?
8.What role do numbers and Factors of 1988 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1988 skills?
Important Glossaries for Factor of 1988
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, and 1988.
- Prime factors: The factors which are prime numbers. For example, 2, 7, and 71 are prime factors of 1988.
- 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 1988 are (1, 1988), (2, 994), etc.
- Prime factorization: Breaking down a number into its prime factors. For 1988, the prime factorization is 2² × 7 × 71.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number.
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About BrightChamps in Australia
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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