Last updated on May 28th, 2025
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 1303, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1303 evenly are known as factors of 1303.
A factor of 1303 is a number that divides the number without remainder.
The factors of 1303 are 1 and 1303 because 1303 is a prime number.
Negative factors of 1303: -1 and -1303.
Prime factors of 1303: 1303 itself, as it is a prime number.
Prime factorization of 1303: 1303.
The sum of factors of 1303: 1 + 1303 = 1304
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
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1303. Since 1303 is a prime number, the multiplication method shows that only 1 and 1303 multiply to give the number 1303.
Step 1: Multiply 1303 by 1, 1303 × 1 = 1303.
There are no other pairs of numbers that multiply to give 1303 because it is a prime number.
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 the simple division method -
Step 1: Divide 1303 by 1, 1303 ÷ 1 = 1303.
Step 2: Check for divisibility by numbers up to the square root of 1303.
Since 1303 is only divisible by 1 and itself, the factors are: 1 and 1303.
The factors can be found by dividing with prime numbers. Since 1303 is a prime number, it is only divisible by itself and 1.
Therefore, the prime factorization of 1303 is simply 1303.
The factor tree is the graphical representation of breaking down any number into prime factors.
For 1303, since it is a prime number, it cannot be broken down further into other prime factors.
The prime factorization of 1303 is 1303 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 1303: (1, 1303).
Negative factor pairs of 1303: (-1, -1303).
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 2 teams and 1303 marbles. How will they divide them equally?
They will not be able to divide them equally.
1303 is a prime number, so it cannot be divided equally between 2 teams without a remainder.
A banner is 1303 meters long. How many pieces of 1-meter length can be cut from it?
1303 pieces.
To find the number of pieces, divide the total length by the length of each piece.
1303/1 = 1303
There are 1303 coins and 1303 boxes. How many coins will be in each box?
Each box will have 1 coin.
To find the coins in each box, divide the total coins by the number of boxes.
1303/1303 = 1
A class has 1303 students. If 1 student is to be in each group, how many groups are there?
There are 1303 groups.
Dividing the students equally into groups, we will have: 1303/1 = 1303
There are 1303 apples to be distributed to 1 person. How many apples will they get?
They will get 1303 apples.
All apples go to one person.
1303/1 = 1303
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.