122 LearnersLast updated on May 26th, 2025
Factors of 1027
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.
What are the Factors of 1027?
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
How to Find Factors of 1027?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1027
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 1027, 1 and 1027 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1027 consist of -1, -19, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1027/1.5 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 1027 are prime numbers.
For example, 19 and 53 are the prime factors of 1027, but it has other factors like 1 and 1027.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1027 as 19 × 53 and missing all the key factors.
Factors of 1027 Examples
Problem 1
There are 1027 apples to be packed in boxes of 19 apples each. How many boxes are needed?
53 boxes are needed.
Explanation
To determine the number of boxes, divide the total apples by the number of apples per box.
1027/19 = 53
Problem 2
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.
Explanation
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.
Problem 3
A library has 1027 books to be arranged on shelves, with 53 books per shelf. How many shelves are needed?
19 shelves are needed.
Explanation
To find the number of shelves needed, divide the total books by books per shelf.
1027/53 = 19
Problem 4
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.
Explanation
Dividing the tasks with the total workers, we will get the number of tasks each.
1027/19 = 54 R1
Problem 5
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.
Explanation
Divide total donations by the number of groups.
1027/53 = 19 R10
FAQs on Factors of 1027
1.What are the factors of 1027?
2.Mention the prime factors of 1027.
3.Is 1027 a multiple of 19?
4.Mention the factor pairs of 1027?
5.What is the square of 1027?
6.How can children in Australia use numbers in everyday life to understand Factors of 1027?
7.What are some fun ways kids in Australia can practice Factors of 1027 with numbers?
8.What role do numbers and Factors of 1027 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1027 skills?
Important Glossaries for Factor of 1027
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1027 are 1, 19, 53, and 1027.
- Prime factors: The factors which are prime numbers. For example, 19 and 53 are prime factors of 1027.
- 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 1027 are (1, 1027) and (19, 53).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1027 is 19 × 53.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For example, identifying 19 × 53 = 1027.
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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
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