140 LearnersLast updated on May 26th, 2025
Factors of 1765
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 1765, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1765?
The numbers that divide 1765 evenly are known as factors of 1765.
A factor of 1765 is a number that divides the number without remainder.
The factors of 1765 are 1, 5, 353, and 1765.
Negative factors of 1765: -1, -5, -353, and -1765.
Prime factors of 1765: 5 and 353.
Prime factorization of 1765: 5 × 353.
The sum of factors of 1765: 1 + 5 + 353 + 1765 = 2124
How to Find Factors of 1765?
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 1765. Identifying the numbers which are multiplied to get the number 1765 is the multiplication method.
Step 1: Multiply 1765 by 1, 1765 × 1 = 1765.
Step 2: Check for other numbers that give 1765 after multiplying 5 × 353 = 1765
Therefore, the positive factor pairs of 1765 are: (1, 1765) and (5, 353).
All these factor pairs result in 1765.
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 a whole number as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1765 by 1, 1765 ÷ 1 = 1765.
Step 2: Continue dividing 1765 by the numbers until the remainder becomes 0.
1765 ÷ 1 = 1765
1765 ÷ 5 = 353
Therefore, the factors of 1765 are: 1, 5, 353, and 1765.
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 1765 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1765 ÷ 5 = 353
353 ÷ 353 = 1
The prime factors of 1765 are 5 and 353.
The prime factorization of 1765 is: 5 × 353.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1765 is divided by 5 to get 353.
Step 2: Now divide 353 by 353 to get 1. Here, 353 is a prime number and cannot be divided further.
So, the prime factorization of 1765 is: 5 × 353.
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 1765: (1, 1765) and (5, 353).
Negative factor pairs of 1765: (-1, -1765) and (-5, -353).
Common Mistakes and How to Avoid Them in Factors of 1765
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 1765, 1 and 1765 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 1765 consist of -1, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 2.5 as a factor, because 1765/2.5 = 706, 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 1765 are prime numbers.
For example, 5 and 353 are the prime factors of 1765, but it has other factors like 1 and 1765.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1765 as 5 × 353 and missing all the key factors.
Factors of 1765 Examples
Problem 1
A classroom has 5 tables and 1765 marbles. How will the teacher distribute them evenly?
Each table will have 353 marbles.
Explanation
To distribute the marbles equally, we need to divide the total marbles by the number of tables.
1765/5 = 353
Problem 2
A garden is rectangular, the width of the garden is 5 meters and the total area is 1765 square meters. Find the length?
353 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1765 = 5 × length
To find the value of length, we need to shift 5 to the left side.
1765/5 = length
Length = 353.
Problem 3
There are 353 gift bags and 1765 candies. 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.
1765/353 = 5
Problem 4
In a competition, there are 1765 participants, and 5 teams. How many participants are there in each team?
There are 353 participants in each team.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
1765/5 = 353
Problem 5
1765 pencils need to be arranged in 5 boxes. How many pencils will go in each box?
Each of the boxes has 353 pencils.
Explanation
Divide total pencils by boxes.
1765/5 = 353
FAQs on Factors of 1765
1.What are the factors of 1765?
2.Mention the prime factors of 1765.
3.Is 1765 a multiple of 5?
4.Mention the factor pairs of 1765?
5.What is the square of 1765?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1765?
7.What are some fun ways kids in Bahrain can practice Factors of 1765 with numbers?
8.What role do numbers and Factors of 1765 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1765 skills?
Important Glossaries for Factors of 1765
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1765 are 1, 5, 353, and 1765.
- Prime factors: The factors which are prime numbers. For example, 5 and 353 are prime factors of 1765.
- 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 1765 are (1, 1765) and (5, 353).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1765 is 5 × 353.
- Negative factors: Factors that are negative and divide the number without remainder. For example, -1, -5, -353, and -1765 are negative factors of 1765.
Explore More numbers
About BrightChamps in Bahrain
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.
