121 LearnersLast updated on May 26th, 2025
Factors of 1055
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 1055, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1055?
The numbers that divide 1055 evenly are known as factors of 1055
A factor of 1055 is a number that divides the number without remainder.
The factors of 1055 are 1, 5, 211, and 1055.
Negative factors of 1055: -1, -5, -211, and -1055.
Prime factors of 1055: 5 and 211.
Prime factorization of 1055: 5 × 211.
The sum of factors of 1055: 1 + 5 + 211 + 1055 = 1272
How to Find Factors of 1055?
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 1055. Identifying the numbers which are multiplied to get the number 1055 is the multiplication method.
Step 1: Multiply 1055 by 1, 1055 × 1 = 1055.
Step 2: Check for other numbers that give 1055 after multiplying 5 × 211 = 1055
Therefore, the positive factor pairs of 1055 are: (1, 1055) and (5, 211). All these factor pair result in 1055. 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 results as a whole numbers as factors. Factors can be calculated by following simple division method -
Step 1: Divide 1055 by 1, 1055 ÷ 1 = 1055.
Step 2: Continue dividing 1055 by the numbers until the remainder becomes 0.
1055 ÷ 1 = 1055
1055 ÷ 5 = 211
Therefore, the factors of 1055 are: 1, 5, 211, 1055.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1055 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1055 ÷ 5 = 211
211 ÷ 211 = 1
The prime factors of 1055 are 5 and 211.
The prime factorization of 1055 is: 5 × 211.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1055 is divided by 5 to get 211.
Step 2: Now divide 211 by 211 to get 1. Here, 5 and 211 are the prime numbers, that cannot be divided anymore. So, the prime factorization of 1055 is: 5 × 211.
Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1055: (1, 1055) and (5, 211).
Negative factor pairs of 1055: (-1, -1055) and (-5, -211).
Common Mistakes and How to Avoid Them in Factors of 1055
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 as factors
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 1055, 1 and 1055 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 1055 include -1, -5, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 1055/2.5 = 422, but 2.5 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 1055 are prime numbers. While 5 and 211 are the prime factors of 1055, it has other factors like 1 and 1055.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1055 as 5 × 211 and missing key factors.
Factors of 1055 Examples
Problem 1
A group of 5 people wants to share 1055 apples equally. How many apples will each person get?
They will get 211 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people.
1055/5 = 211
Problem 2
A rectangular painting has a length of 211 cm and the total area is 1055 square cm. What is the width?
5 cm.
Explanation
To find the width of the painting, we use the formula,
Area = length × width
1055 = 211 × width
To find the value of width, we need to shift 211 to the left side.
1055/211 = width
Width = 5.
Problem 3
A company has 1055 candies to distribute equally in 211 bags. How many candies will be in each bag?
Each bag will have 5 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1055/211 = 5
Problem 4
A classroom has 1055 books and 5 shelves. How many books are there on each shelf?
There are 211 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1055/5 = 211
Problem 5
In a storage unit, there are 1055 boxes and 211 compartments. How many boxes will go in each compartment?
Each compartment will have 5 boxes.
Explanation
Divide total boxes by compartments.
1055/211 = 5
FAQs on Factors of 1055
1.What are the factors of 1055?
2.Mention the prime factors of 1055.
3.Is 1055 a multiple of 5?
4.Mention the factor pairs of 1055.
5.What is the square of 1055?
Important Glossaries for Factors of 1055
- Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1055 are 1, 5, 211, and 1055.
- Prime factors: The factors which are prime numbers. For example, 5 and 211 are prime factors of 1055.
- 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 1055 are (1, 1055) and (5, 211).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1055 is 5 × 211.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 1055 are -1, -5, -211, and -1055.
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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.
