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 1027, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1027 evenly are known as factors of 1027.
A factor of 1027 is a number that divides the number without remainder.
The factors of 1027 are 1, 19, 53, and 1027.
Negative factors of 1027: -1, -19, -53, and -1027.
Prime factors of 1027: 19 and 53.
Prime factorization of 1027: 19 × 53.
The sum of factors of 1027: 1 + 19 + 53 + 1027 = 1100
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 1027. Identifying the numbers which are multiplied to get the number 1027 is the multiplication method.
Step 1: Multiply 1027 by 1, 1027 × 1 = 1027.
Step 2: Check for other numbers that give 1027 after multiplying 19 × 53 = 1027
Therefore, the positive factor pairs of 1027 are: (1, 1027) and (19, 53).
All these factor pairs result in 1027. For every positive factor, there is a negative factor.
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 simple division method -
Step 1: Divide 1027 by 1, 1027 ÷ 1 = 1027
Step 2: Continue dividing 1027 by the numbers until the remainder becomes 0.
1027 ÷ 1 = 1027
1027 ÷ 19 = 53
1027 ÷ 53 = 19
Therefore, the factors of 1027 are: 1, 19, 53, and 1027.
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 1027 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1027 ÷ 19 = 53
53 ÷ 53 = 1
The prime factors of 1027 are 19 and 53.
The prime factorization of 1027 is: 19 × 53.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1027 is divided by 19 to get 53.
Step 2: 53 is a prime number, so it cannot be divided anymore. So, the prime factorization of 1027 is: 19 × 53. 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 1027: (1, 1027) and (19, 53).
Negative factor pairs of 1027: (-1, -1027) and (-19, -53).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 1027 apples to be packed in boxes of 19 apples each. How many boxes are needed?
53 boxes are needed.
To determine the number of boxes, divide the total apples by the number of apples per box.
1027/19 = 53
A rectangular garden has a length of 19 meters and an area of 1027 square meters. What is the width of the garden?
53 meters.
To find the width of the garden, use the formula,
Area = length × width
1027 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1027/19 = width
Width = 53.
A library has 1027 books to be arranged on shelves, with 53 books per shelf. How many shelves are needed?
19 shelves are needed.
To find the number of shelves needed, divide the total books by books per shelf.
1027/53 = 19
There are 19 workers and 1027 tasks. How many tasks will each worker take if divided equally?
Each worker will take 54 tasks, with 1 task remaining.
Dividing the tasks with the total workers, we will get the number of tasks each.
1027/19 = 54 R1
A fundraiser collected 1027 donations, and they want to distribute them into 53 groups. How many donations will each group receive?
Each group will receive 19 donations, with 10 donations remaining.
Divide total donations by the number of groups.
1027/53 = 19 R10
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.