Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To determine the number of rows, divide the total seeds by the number of seeds per row.
1018/2 = 509
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.
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
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.
To find the number of cards in each deck, divide the total cards by the number of decks.
1018/509 = 2
There are 1018 pages to be printed and 2 printers available. How many pages will each printer print?
Each printer will print 509 pages.
Dividing the total pages by the printers gives the number of pages per printer.
1018/2 = 509
1018 students need to be seated in 509 rows. How many students will be in each row?
Each row will have 2 students.
Divide the total students by the number of rows.
1018/509 = 2
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.
: She loves to read number jokes and games.