Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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: 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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To pack the apples into boxes, divide the total apples by 1.
1703/1 = 1703
A rectangular field has a length of 1 meter and a total area of 1703 square meters. What is the width?
1703 meters.
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.
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.
To find how many seeds can be planted, divide the total seeds by 1.
1703/1 = 1703
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.
Dividing the students by the total groups, we will get the number of students in each group.
1703/1 = 1703
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.
Divide the total books by the number of shelves.
1703/1 = 1703
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.
: She loves to read number jokes and games.