Last updated on May 28th, 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 1313, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1313 evenly are known as factors of 1313.
A factor of 1313 is a number that divides the number without a remainder.
The factors of 1313 are 1, 13, 101, and 1313.
Negative factors of 1313: -1, -13, -101, and -1313.
Prime factors of 1313: 13 and 101.
Prime factorization of 1313: 13 × 101.
The sum of factors of 1313: 1 + 13 + 101 + 1313 = 1428
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 1313. Identifying the numbers which are multiplied to get the number 1313 is the multiplication method.
Step 1: Multiply 1313 by 1, 1313 × 1 = 1313.
Step 2: Check for other numbers that give 1313 after multiplying
13 × 101 = 1313
Therefore, the positive factor pairs of 1313 are: (1, 1313) and (13, 101).
All these factor pairs result in 1313.
For every positive factor, there is a negative factor.
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 1313 by 1, 1313 ÷ 1 = 1313.
Step 2: Continue dividing 1313 by the numbers until the remainder becomes 0.
1313 ÷ 1 = 1313
1313 ÷ 13 = 101
1313 ÷ 101 = 13
Therefore, the factors of 1313 are: 1, 13, 101, 1313.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1313 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1313 ÷ 13 = 101
101 ÷ 101 = 1
The prime factors of 1313 are 13 and 101.
The prime factorization of 1313 is: 13 × 101.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1313 is divided by 13 to get 101.
Step 2: Now divide 101 by 101 to get 1.
So, the prime factorization of 1313 is: 13 × 101.
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 1313: (1, 1313), (13, 101).
Negative factor pairs of 1313: (-1, -1313), (-13, -101).
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 13 friends and 1313 marbles. How will they divide it equally?
They will get 101 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1313/13 = 101
A field is rectangular, the length of the field is 13 meters and the total area is 1313 square meters. Find the width?
101 meters.
To find the width of the field, we use the formula,
Area = length × width
1313 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1313/13 = width
Width = 101.
There are 101 bags and 1313 candies. How many candies will be in each bag?
Each bag will have 13 candies.
To find the candies in each bag, divide the total candies by the bags.
1313/101 = 13
In a class, there are 1313 students, and 101 groups. How many students are there in each group?
There are 13 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1313/101 = 13
1313 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 101 books.
Divide total books by shelves.
1313/13 = 101
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.