126 LearnersLast updated on May 26th, 2025
Factors of 1918
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 1918, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1918?
The numbers that divide 1918 evenly are known as factors of 1918.
A factor of 1918 is a number that divides the number without remainder.
The factors of 1918 are 1, 2, 959, and 1918.
Negative factors of 1918: -1, -2, -959, and -1918.
Prime factors of 1918: 2 and 959.
Prime factorization of 1918: 2 × 959.
The sum of factors of 1918: 1 + 2 + 959 + 1918 = 2880
How to Find Factors of 1918?
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 1918. Identifying the numbers which are multiplied to get the number 1918 is the multiplication method.
Step 1: Multiply 1918 by 1, 1918 × 1 = 1918.
Step 2: Check for other numbers that give 1918 after multiplying
2 × 959 = 1918
Therefore, the positive factor pairs of 1918 are: (1, 1918) and (2, 959). All these factor pairs result in 1918. 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 1918 by 1, 1918 ÷ 1 = 1918.
Step 2: Continue dividing 1918 by the numbers until the remainder becomes 0.
1918 ÷ 1 = 1918
1918 ÷ 2 = 959
Therefore, the factors of 1918 are: 1, 2, 959, 1918.
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 1918 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1918 ÷ 2 = 959
959 is a prime number The prime factors of 1918 are 2 and 959.
The prime factorization of 1918 is: 2 × 959.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1918 is divided by 2 to get 959.
Step 2: 959 is already a prime number and cannot be divided further. So, the prime factorization of 1918 is: 2 × 959.
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 1918: (1, 1918) and (2, 959).
Negative factor pairs of 1918: (-1, -1918) and (-2, -959).
Common Mistakes and How to Avoid Them in Factors of 1918
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1918, 1 and 1918 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 1918 consist of -1, -2, -959, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1918/1.5 = 1278.666, 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 1918 are prime numbers.
For example, 2 and 959 are the prime factors of 1918, but it has other factors like 1918 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, Not breaking 1918 as 2 × 959 and missing all the key factors.
Factors of 1918 Examples
Problem 1
There are 2 teams and 1918 points. How will they share it equally?
They will get 959 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
1918/2 = 959
Problem 2
A field is rectangular, the length of the field is 2 meters and the total area is 1918 square meters. Find the width?
959 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
1918 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1918/2 = width
Width = 959.
Problem 3
There are 1918 apples and 1 basket. How many apples will be in each basket?
Each basket will have 1918 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
1918/1 = 1918
Problem 4
In a class, there are 1918 students, and 959 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1918/959 = 2
Problem 5
1918 books need to be organized in 1 library. How many books will go on each shelf if there is only one shelf?
All 1918 books will go on the single shelf.
Explanation
Divide total books with shelves.
1918/1 = 1918
FAQs on Factors of 1918
1.What are the factors of 1918?
2.Mention the prime factors of 1918.
3.Is 1918 a multiple of 2?
4.Mention the factor pairs of 1918?
5.What is the square of 1918?
6.How can children in Canada use numbers in everyday life to understand Factors of 1918?
7.What are some fun ways kids in Canada can practice Factors of 1918 with numbers?
8.What role do numbers and Factors of 1918 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1918 skills?
Important Glossaries for Factor of 1918
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1918 are 1, 2, 959, and 1918.
- Prime factors: The factors which are prime numbers. For example, 2 and 959 are prime factors of 1918.
- 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 1918 are (1, 1918) and (2, 959).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1918 is 2 × 959.
- Negative factors: Factors that include negative numbers. For example, the negative factors of 1918 are -1, -2, -959, and -1918.
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About BrightChamps in Canada
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.
