139 LearnersLast updated on May 26th, 2025
Factors of 1735
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 1735, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1735?
The numbers that divide 1735 evenly are known as factors of 1735.
A factor of 1735 is a number that divides the number without remainder.
The factors of 1735 are 1, 5, 347, and 1735.
Negative factors of 1735: -1, -5, -347, and -1735. Prime factors of 1735: 5 and 347.
Prime factorization of 1735: 5 × 347.
The sum of factors of 1735: 1 + 5 + 347 + 1735 = 2088.
How to Find Factors of 1735?
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 1735. Identifying the numbers which are multiplied to get the number 1735 is the multiplication method.
Step 1: Multiply 1735 by 1, 1735 × 1 = 1735.
Step 2: Check for other numbers that give 1735 after multiplying 5 × 347 = 1735
Therefore, the positive factor pairs of 1735 are: (1, 1735) and (5, 347).
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 a simple division method
Step 1: Divide 1735 by 1, 1735 ÷ 1 = 1735.
Step 2: Continue dividing 1735 by the numbers until the remainder becomes 0.
1735 ÷ 1 = 1735
1735 ÷ 5 = 347
Therefore, the factors of 1735 are: 1, 5, 347, 1735.
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 1735 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1735 ÷ 5 = 347
347 ÷ 347 = 1
The prime factors of 1735 are 5 and 347.
The prime factorization of 1735 is: 5 × 347.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1735 is divided by 5 to get 347.
Step 2: Now divide 347 by 347 to get 1. Here, both numbers are prime, indicating the end of factorization.
So, the prime factorization of 1735 is: 5 × 347.
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 1735: (1, 1735) and (5, 347).
Negative factor pairs of 1735: (-1, -1735) and (-5, -347).
Common Mistakes and How to Avoid Them in Factors of 1735
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1735, 1 and 1735 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1735 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 1735/2.5 = 694, 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 1735 are prime numbers.
For example, 5 and 347 are the prime factors of 1735, but it has other factors like 1, 1735.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1735 as 5 × 347 and missing all the key factors.
Factors of 1735 Examples
Problem 1
There are 5 friends, and they found a treasure of 1735 gold coins. How will they divide it equally?
They will get 347 coins each.
Explanation
To divide the coins equally, we need to divide the total coins with the number of friends.
1735/5 = 347
Problem 2
A rectangular mural has an area of 1735 square meters, and its length is 347 meters. What is the width?
5 meters.
Explanation
To find the width of the mural, we use the formula,
Area = length × width
1735 = 347 × width
To find the value of width, we need to shift 347 to the left side.
1735/347 = width
Width = 5.
Problem 3
A vineyard distributes 1735 bottles of wine into 347 crates. How many bottles will be in each crate?
Each crate will have 5 bottles.
Explanation
To find the bottles in each crate, divide the total bottles with the crates.
1735/347 = 5
Problem 4
In a library, there are 1735 books and 5 sections. How many books are there in each section?
There are 347 books in each section.
Explanation
Dividing the books with the total sections, we will get the number of books in each section.
1735/5 = 347
Problem 5
A total of 1735 students are taking part in a quiz, and they need to be arranged into 347 teams. How many students will be in each team?
Each team will have 5 students.
Explanation
Divide total students with teams.
1735/347 = 5
FAQs on Factors of 1735
1.What are the factors of 1735?
2.Mention the prime factors of 1735.
3.Is 1735 a multiple of 5?
4.Mention the factor pairs of 1735?
5.What is the square of 1735?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1735?
7.What are some fun ways kids in Bahrain can practice Factors of 1735 with numbers?
8.What role do numbers and Factors of 1735 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1735 skills?
Important Glossaries for Factor of 1735
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1735 are 1, 5, 347, and 1735.
- Prime factors: The factors which are prime numbers. For example, 5 and 347 are prime factors of 1735.
- 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 1735 are (1, 1735) and (5, 347).
- Prime factorization: The process of expressing a number as the product of its prime factors. For instance, the prime factorization of 1735 is 5 × 347.
- Multiplication method: A method for finding factors by identifying pairs of numbers that multiply to a specific number. For example, using the multiplication method for 1735 results in pairs like (1, 1735) and (5, 347).
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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.
