117 LearnersLast updated on May 26th, 2025
Factors of 1018
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 1018, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1018?
The numbers that divide 1018 evenly are known as factors of 1018.
A factor of 1018 is a number that divides the number without remainder.
The factors of 1018 are 1, 2, 509, and 1018.
Negative factors of 1018: -1, -2, -509, and -1018.
Prime factors of 1018: 2 and 509.
Prime factorization of 1018: 2 × 509.
The sum of factors of 1018: 1 + 2 + 509 + 1018 = 1530
How to Find Factors of 1018?
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 1018. Identifying the numbers which are multiplied to get the number 1018 is the multiplication method.
Step 1: Multiply 1018 by 1, 1018 × 1 = 1018.
Step 2: Check for other numbers that give 1018 after multiplying 2 × 509 = 1018
Therefore, the positive factor pairs of 1018 are: (1, 1018) and (2, 509).
All these factor pairs result in 1018.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1018 by 1, 1018 ÷ 1 = 1018.
Step 2: Continue dividing 1018 by the numbers until the remainder becomes 0.
1018 ÷ 1 = 1018
1018 ÷ 2 = 509
Therefore, the factors of 1018 are: 1, 2, 509, and 1018.
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 1018 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1018 ÷ 2 = 509
509 ÷ 509 = 1
The prime factors of 1018 are 2 and 509.
The prime factorization of 1018 is: 2 × 509.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1018 is divided by 2 to get 509.
Step 2: Here, 509 is a prime number and cannot be divided further. So, the prime factorization of 1018 is: 2 × 509.
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 1018: (1, 1018) and (2, 509).
Negative factor pairs of 1018: (-1, -1018) and (-2, -509).
Common Mistakes and How to Avoid Them in Factors of 1018
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 1018, 1 and 1018 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1018 consist of -1, -2, -509, 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 1018/1.5 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 1018 are prime numbers.
For example, 2 and 509 are the prime factors of 1018, but it also has other factors like 1 and 1018.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1018 as 2 × 509 and missing all the key factors.
Factors of 1018 Examples
Problem 1
A gardener has 1018 seeds and wants to plant them in rows of 2. How many rows will there be?
There will be 509 rows.
Explanation
To determine the number of rows, divide the total seeds by the number of seeds per row.
1018/2 = 509
Problem 2
A rectangular banner has a length of 509 cm and an area of 1018 square cm. What is the width of the banner?
The width is 2 cm.
Explanation
To find the width of the banner, use the formula,
Area = length × width
1018 = 509 × width
To find the value of width, divide 1018 by 509.
Width = 1018/509 = 2
Problem 3
A pack of cards has 1018 cards and needs to be divided into 509 decks. How many cards will each deck contain?
Each deck will contain 2 cards.
Explanation
To find the number of cards in each deck, divide the total cards by the number of decks.
1018/509 = 2
Problem 4
There are 1018 pages to be printed and 2 printers available. How many pages will each printer print?
Each printer will print 509 pages.
Explanation
Dividing the total pages by the printers gives the number of pages per printer.
1018/2 = 509
Problem 5
1018 students need to be seated in 509 rows. How many students will be in each row?
Each row will have 2 students.
Explanation
Divide the total students by the number of rows.
1018/509 = 2
FAQs on Factors of 1018
1.What are the factors of 1018?
2.Mention the prime factors of 1018.
3.Is 1018 a multiple of 2?
4.Mention the factor pairs of 1018?
5.What is the square of 1018?
6.How can children in United States use numbers in everyday life to understand Factors of 1018?
7.What are some fun ways kids in United States can practice Factors of 1018 with numbers?
8.What role do numbers and Factors of 1018 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1018 skills?
Important Glossaries for Factor of 1018
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1018 are 1, 2, 509, and 1018.
- Prime factors: The factors which are prime numbers. For example, 2 and 509 are prime factors of 1018.
- 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 1018 are (1, 1018) and (2, 509).
- Prime factorization: It is the process of expressing a number as a product of its prime factors. For example, the prime factorization of 1018 is 2 × 509.
- Multiple: A number that can be divided by another number without a remainder. For example, 1018 is a multiple of 2.
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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.
