113 LearnersLast updated on May 26th, 2025
Factors of 1723
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 1723, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1723?
The numbers that divide 1723 evenly are known as factors of 1723.
A factor of 1723 is a number that divides the number without remainder.
The factors of 1723 are 1 and 1723 since 1723 is a prime number.
Negative factors of 1723: -1 and -1723.
Prime factors of 1723: 1723 itself, as it is a prime number.
The sum of factors of 1723: 1 + 1723 = 1724
How to Find Factors of 1723?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1723. Since 1723 is a prime number, the multiplication method will show:
Step 1: Multiply 1723 by 1, 1723 × 1 = 1723.
Therefore, the only positive factor pair of 1723 is: (1, 1723).
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 1723 by 1, 1723 ÷ 1 = 1723.
Since 1723 is a prime number, no other divisions will result in whole numbers without a remainder.
Therefore, the factors of 1723 are: 1 and 1723.
Prime Factorization
Since 1723 is a prime number, it does not have a prime factorization that involves smaller prime numbers. The prime factorization of 1723 is simply the number itself: 1723.
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 1723: (1, 1723).
Negative factor pair of 1723: (-1, -1723).
Common Mistakes and How to Avoid Them in Factors of 1723
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 1723, 1 and 1723 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 1723 include -1 and -1723.
Mistake 3
Including Non-Whole Numbers
Children might sometimes mistakenly include non-whole numbers as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1723/1.5 is not a whole number.
Mistake 4
Confusing Factors With Multiples
Remember that factors divide the number evenly, while multiples are the result of multiplying the number by integers.
For example, 1723 is not a multiple of any number other than itself and 1, due to its prime nature.
Mistake 5
Mistake in Identifying Prime Numbers
Children might not correctly identify a prime number, leading to incorrect factorization.
For example, not recognizing that 1723 is prime and looking for other factors unnecessarily.
Factors of 1723 Examples
Problem 1
There are 1723 apples. If they are packed into boxes with 1 apple each, how many boxes are needed?
1723 boxes are needed.
Explanation
To pack the apples into boxes with 1 apple each, the number of boxes required is equal to the number of apples:
1723/1 = 1723.
Problem 2
A straight road is 1723 meters long and has lamp posts at both ends. How many lamp posts are needed if they are placed 1 meter apart?
1724 lamp posts.
Explanation
Lamp posts are placed 1 meter apart with one at each end.
Therefore, 1723 meters require
1723+1 = 1724 lamp posts.
Problem 3
A ribbon is 1723 meters long. If it is cut into pieces of 1 meter each, how many pieces will there be?
There will be 1723 pieces.
Explanation
To cut the ribbon into 1-meter pieces, you divide the total length by the piece length:
1723/1 = 1723.
Problem 4
There are 1723 students and each student gets 1 notebook. How many notebooks are distributed?
1723 notebooks are distributed.
Explanation
Each student receives 1 notebook, so the number of notebooks distributed is equal to the number of students:
1723.
Problem 5
A package contains 1723 identical items. If you take out 1 item, how many items remain?
1722 items remain.
Explanation
If you remove 1 item from 1723, the remaining number of items is:
1723 - 1 = 1722.
FAQs on Factors of 1723
1.What are the factors of 1723?
2.Is 1723 a prime number?
3.What are the negative factors of 1723?
4.What is the prime factorization of 1723?
5.Is 1723 a multiple of any number?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1723?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1723 with numbers?
8.What role do numbers and Factors of 1723 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1723 skills?
Important Glossaries for Factors of 1723
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1723 are 1 and 1723.
- Prime Number: A number greater than 1 with no divisors other than 1 and itself. For example, 1723 is a prime number.
- Negative Factors: The negative counterparts of the positive factors. For example, the negative factors of 1723 are -1 and -1723.
- Prime Factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1723 is 1723 since it is prime.
- Factor Pair: Two numbers that multiply to give a specific number. For example, the factor pair of 1723 is (1, 1723).
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About BrightChamps in United Arab Emirates
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.
