114 LearnersLast updated on May 26th, 2025
Factors of 1355
Factors are the numbers that divide any given number evenly without a 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 1355, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1355?
The numbers that divide 1355 evenly are known as factors of 1355.
A factor of 1355 is a number that divides the number without a remainder.
The factors of 1355 are 1, 5, 271, and 1355.
Negative factors of 1355: -1, -5, -271, and -1355.
Prime factors of 1355: 5 and 271.
Prime factorization of 1355: 5 × 271.
The sum of factors of 1355: 1 + 5 + 271 + 1355 = 1632
How to Find Factors of 1355?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1355. Identifying the numbers which are multiplied to get the number 1355 is the multiplication method.
Step 1: Multiply 1355 by 1, 1355 × 1 = 1355.
Step 2: Check for other numbers that give 1355 after multiplying: 5 × 271 = 1355
Therefore, the positive factor pairs of 1355 are: (1, 1355) and (5, 271).
All these factor pairs result in 1355.
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 1355 by 1, 1355 ÷ 1 = 1355.
Step 2: Continue dividing 1355 by the numbers until the remainder becomes 0.
1355 ÷ 1 = 1355
1355 ÷ 5 = 271
Therefore, the factors of 1355 are: 1, 5, 271, and 1355.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1355 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1355 ÷ 5 = 271
271 ÷ 271 = 1
The prime factors of 1355 are 5 and 271.
The prime factorization of 1355 is: 5 × 271.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1355 is divided by 5 to get 271.
Step 2: Now divide 271 by 271 to get 1. Here, 271 is a prime number that cannot be divided further. So, the prime factorization of 1355 is: 5 × 271.
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 1355: (1, 1355) and (5, 271).
Negative factor pairs of 1355: (-1, -1355) and (-5, -271).
Common Mistakes and How to Avoid Them in Factors of 1355
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1355, 1 and 1355 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1355 include -1, -5, -271, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction as a factor. Only whole numbers can be a factor.
For example, thinking 2.5 is a factor because 1355/2.5 = 542, and it 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 1355 are prime numbers.
For example, 5 and 271 are the prime factors of 1355, but it has other factors like 1 and 1355.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 1355 as 5 × 271 and missing all the key factors.
Factors of 1355 Examples
Problem 1
A library has 1355 books and 5 sections. How many books will be in each section?
Each section will have 271 books.
Explanation
To divide the books equally, we need to divide the total books by the number of sections.
1355/5 = 271
Problem 2
A farmer has a plot of land measuring 1355 square meters and wants to divide it into 5 equal parts. How large will each part be?
Each part will be 271 square meters.
Explanation
To find the size of each part, we divide the total area by the number of parts.
1355/5 = 271
Problem 3
There are 271 chairs and 1355 people. How many people will share each chair?
Each chair will be shared by 5 people.
Explanation
To find how many people will share each chair, divide the total number of people by the number of chairs.
1355/271 = 5
Problem 4
A company has 1355 units of a product and wants to pack them into boxes containing 5 units each. How many boxes will they need?
They will need 271 boxes.
Explanation
To find the number of boxes needed, divide the total units by the units per box.
1355/5 = 271
Problem 5
A concert hall seats 1355 people and has 271 rows. How many seats are in each row?
Each row has 5 seats.
Explanation
To find the seats in each row, divide the total seats by the number of rows.
1355/271 = 5
FAQs on Factors of 1355
1.What are the factors of 1355?
2.Mention the prime factors of 1355.
3.Is 1355 a multiple of 5?
4.Mention the factor pairs of 1355.
5.What is the square of 1355?
6.How can children in Singapore use numbers in everyday life to understand Factors of 1355?
7.What are some fun ways kids in Singapore can practice Factors of 1355 with numbers?
8.What role do numbers and Factors of 1355 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 1355 skills?
Important Glossaries for Factor of 1355
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1355 are 1, 5, 271, and 1355.
- Prime factors: The factors which are prime numbers. For example, 5 and 271 are prime factors of 1355.
- 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 1355 are (1, 1355) and (5, 271).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1355 is 5 × 271.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 1355 are -1, -5, -271, and -1355.
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About BrightChamps in Singapore
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.
