128 LearnersLast updated on May 26th, 2025
Factors of 1741
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 1741, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1741?
The numbers that divide 1741 evenly are known as factors of 1741.
A factor of 1741 is a number that divides the number without a remainder.
The factors of 1741 are 1 and 1741.
Negative factors of 1741: -1 and -1741.
Prime factors of 1741: 1741 (since it is a prime number).
Prime factorization of 1741: 1741.
The sum of factors of 1741: 1 + 1741 = 1742
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How to Find Factors of 1741?
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 1741.
Since 1741 is a prime number, the only multiplication that results in 1741 is 1 × 1741.
Therefore, the positive factor pair of 1741 is: (1, 1741).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1741 by 1, 1741 ÷ 1 = 1741.
Step 2: Verify that no other whole number divides 1741 without a remainder.
Therefore, the factors of 1741 are: 1 and 1741.
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, since 1741 is a prime number, it cannot be broken down further.
The prime factor of 1741 is 1741 itself.
The prime factorization of 1741 is: 1741.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1741 is already a prime number, the factor tree consists of 1741 itself, with no further branching.
So, the prime factorization of 1741 is: 1741.
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 pair of 1741: (1, 1741).
Negative factor pair of 1741: (-1, -1741).
Common Mistakes and How to Avoid Them in Factors of 1741
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
People 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 1741, 1 and 1741 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 1741 consist of -1 and -1741.
Mistake 3
Including the Fraction
People might sometimes incorrectly include fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 is a factor, because 1741/1.5 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 1741 are prime numbers.
For instance, 1741 is a prime number, but its factors include 1.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing incorrect factors.
For example, not recognizing that 1741 is a prime number and cannot be broken down further.
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Factors of 1741 Examples
Problem 1
A group of 1741 students is attending a conference. How can they be divided into equal groups with no remainder?
They can only be divided into one group of 1741 students or 1741 groups of 1 student each.
Explanation
Since 1741 is a prime number, it has no divisors other than 1 and itself.
Problem 2
A scientist has 1741 chemical samples and needs to arrange them in a single row. How many samples will be in the row?
1741 samples.
Explanation
Since the scientist has all samples in one row, the number of samples is 1741.
Problem 3
A company has 1741 seats in its auditorium. If they want to fill them completely, how many seats can they allocate to each of 1,741 people?
Each person will get 1 seat.
Explanation
To allocate seats equally, each of the 1741 people will get 1 seat, as
1741 ÷ 1741 = 1.
Problem 4
A shipment contains 1741 boxes, and each box is to be distributed to a different location. How many locations are there?
There are 1741 locations.
Explanation
Each box is distributed to one location, so there are 1741 locations.
Problem 5
A marathon event has 1741 runners. How can the runners be grouped if each group must have the same number of runners?
They can only be grouped into one group of 1741 runners or 1741 groups of 1 runner each.
Explanation
Since 1741 is a prime number, it can only be divided into groups of 1 or itself.
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FAQs on Factors of 1741
1.What are the factors of 1741?
2.Mention the prime factors of 1741.
3.Is 1741 a multiple of 2?
4.Mention the factor pairs of 1741?
5.What is the square of 1741?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1741?
7.What are some fun ways kids in Bahrain can practice Factors of 1741 with numbers?
8.What role do numbers and Factors of 1741 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1741 skills?
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Important Glossaries for Factors of 1741
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1741 are 1 and 1741.
- Prime factors: The factors which are prime numbers. For example, 1741 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1741 is (1, 1741).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 1741 is a prime number.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1741 is 1741.
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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.
