118 LearnersLast updated on May 26th, 2025
Factors of 1978
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1978, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1978?
The numbers that divide 1978 evenly are known as factors of 1978.
A factor of 1978 is a number that divides the number without remainder.
The factors of 1978 are 1, 2, 989, and 1978.
Negative factors of 1978: -1, -2, -989, and -1978.
Prime factors of 1978: 2 and 989.
Prime factorization of 1978: 2 × 989.
The sum of factors of 1978: 1 + 2 + 989 + 1978 = 2970
How to Find Factors of 1978?
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 1978. Identifying the numbers which are multiplied to get the number 1978 is the multiplication method.
Step 1: Multiply 1978 by 1, 1978 × 1 = 1978.
Step 2: Check for other numbers that give 1978 after multiplying 2 × 989 = 1978
Therefore, the positive factor pairs of 1978 are: (1, 1978) and (2, 989).
All these factor pairs result in 1978.
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 1978 by 1, 1978 ÷ 1 = 1978.
Step 2: Continue dividing 1978 by the numbers until the remainder becomes 0.
1978 ÷ 1 = 1978
1978 ÷ 2 = 989
Therefore, the factors of 1978 are: 1, 2, 989, and 1978.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1978 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1978 ÷ 2 = 989
989 is a prime number and cannot be divided further by any number except itself and 1.
The prime factors of 1978 are 2 and 989.
The prime factorization of 1978 is: 2 × 989.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1978 is divided by 2 to get 989. Here, 989 is a prime number and cannot be divided anymore. So, the prime factorization of 1978 is: 2 × 989.
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 1978: (1, 1978) and (2, 989).
Negative factor pairs of 1978: (-1, -1978) and (-2, -989).
Common Mistakes and How to Avoid Them in Factors of 1978
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1978, 1 and 1978 are also factors.
Mistake 2
Missing Negative Factors
We tend to only mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1978 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1978/1.5 = 1318.666, 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 1978 are prime numbers.
For example, 2 and 989 are the prime factors of 1978, but it has other factors like 1, 1978.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1978 as 2 × 989 and missing all the key factors.
Factors of 1978 Examples
Problem 1
There are 2 teams and 1978 participants. How will the participants be divided equally?
Each team will have 989 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1978/2 = 989
Problem 2
A rectangular garden has a width of 2 meters and a total area of 1978 square meters. Find the length.
989 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1978 = length × 2
To find the value of the length, we need to shift 2 to the left side.
1978/2 = length
Length = 989.
Problem 3
There are 1978 toys to be packed in 989 boxes. How many toys will be in each box?
Each box will have 2 toys.
Explanation
To find the toys in each box, divide the total toys by the boxes.
1978/989 = 2
Problem 4
A library has 1978 books and 2 shelves. How many books are there on each shelf?
There are 989 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1978/2 = 989
Problem 5
1978 pages need to be printed over 989 printers. How many pages will each printer print?
Each printer will print 2 pages.
Explanation
Divide total pages by printers.
1978/989 = 2
FAQs on Factors of 1978
1.What are the factors of 1978?
2.Mention the prime factors of 1978.
3.Is 1978 a multiple of 2?
4.Mention the factor pairs of 1978?
5.What is the square of 1978?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1978?
7.What are some fun ways kids in Vietnam can practice Factors of 1978 with numbers?
8.What role do numbers and Factors of 1978 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1978 skills?
Important Glossaries for Factor of 1978
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1978 are 1, 2, 989, and 1978.
- Prime factors: The factors which are prime numbers. For example, 2 and 989 are prime factors of 1978.
- 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 1978 are (1, 1978) and (2, 989).
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 1978 is 2 × 989.
- Negative factors: Factors of a number that are negative. For example, negative factors of 1978 are -1, -2, -989, and -1978.
Explore More numbers
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.
