120 LearnersLast updated on May 26th, 2025
Factors of 1703
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 1703, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1703?
The numbers that divide 1703 evenly are known as factors of 1703.
A factor of 1703 is a number that divides the number without a remainder.
The factors of 1703 are 1 and 1703.
Negative factors of 1703: -1 and -1703.
Prime factors of 1703: 1703 (since 1703 is a prime number).
Prime factorization of 1703: 1703 is itself a prime number, so it cannot be factored further.
The sum of factors of 1703: 1 + 1703 = 1704
How to Find Factors of 1703?
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 1703. Since 1703 is a prime number, it only has two multiplication pairs:
Step 1: Multiply 1703 by 1, 1703 × 1 = 1703.
Therefore, the positive factor pair of 1703 is: (1, 1703).
For every positive factor, there is a corresponding 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 1703 by 1, 1703 ÷ 1 = 1703.
Step 2: Since 1703 is a prime number, it cannot be divided by any number other than 1 and itself without leaving a remainder.
Therefore, the factors of 1703 are: 1 and 1703.
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, since 1703 is a prime number, it cannot be broken down into smaller prime factors.
The prime factorization of 1703 is simply 1703 itself, as it is a prime number.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 1703 is a prime number, it does not have any factor tree other than itself.
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 1703: (1, 1703).
Negative factor pairs of 1703: (-1, -1703).
Common Mistakes and How to Avoid Them in Factors of 1703
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 integer. Always remember to include 1 and the number itself.
For example, in factors of 1703, 1 and 1703 are factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1703 include -1 and -1703.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1703/1.5 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, considering only prime factors when listing factors of 1703, forgetting that 1 and 1703 itself are factors.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, attempting to break 1703 into smaller factors when it is already a prime number.
Factors of 1703 Examples
Problem 1
There are 1703 apples, and they need to be packed into boxes, each containing 1 apple. How many boxes will be needed?
1703 boxes will be needed.
Explanation
To pack the apples into boxes, divide the total apples by 1.
1703/1 = 1703
Problem 2
A rectangular field has a length of 1 meter and a total area of 1703 square meters. What is the width?
1703 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1703 = 1 × width
To find the value of width, divide the area by the length.
1703/1 = width
Width = 1703.
Problem 3
There are 1703 seeds and 1 planter. How many seeds can be planted in the planter?
All 1703 seeds can be planted in the planter.
Explanation
To find how many seeds can be planted, divide the total seeds by 1.
1703/1 = 1703
Problem 4
In a class, there are 1703 students and 1 group. How many students are there in the group?
There are 1703 students in the group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1703/1 = 1703
Problem 5
1703 books need to be arranged on 1 shelf. How many books will go on the shelf?
All 1703 books will go on the shelf.
Explanation
Divide the total books by the number of shelves.
1703/1 = 1703
FAQs on Factors of 1703
1.What are the factors of 1703?
2.Mention the prime factors of 1703.
3.Is 1703 a multiple of 2?
4.Mention the factor pairs of 1703?
5.Is 1703 a prime number?
6.How can children in India use numbers in everyday life to understand Factors of 1703?
7.What are some fun ways kids in India can practice Factors of 1703 with numbers?
8.What role do numbers and Factors of 1703 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1703 skills?
Important Glossaries for Factors of 1703
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1703 are 1 and 1703.
- Prime factors: The factors which are prime numbers. For example, 1703 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 1703 is (1, 1703).
- Prime number: A natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 1703 is a prime number.
- Division method: A method to find factors by dividing the number by whole numbers to check for zero remainders.
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About BrightChamps in India
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.
