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 1315, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1315 evenly are known as factors of 1315.
A factor of 1315 is a number that divides the number without remainder.
The factors of 1315 are 1, 5, 263, and 1315.
Negative factors of 1315: -1, -5, -263, and -1315.
Prime factors of 1315: 5 and 263.
Prime factorization of 1315: 5 × 263.
The sum of factors of 1315: 1 + 5 + 263 + 1315 = 1584
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 1315. Identifying the numbers which are multiplied to get the number 1315 is the multiplication method.
Step 1: Multiply 1315 by 1, 1315 × 1 = 1315.
Step 2: Check for other numbers that give 1315 after multiplying
5 × 263 = 1315
Therefore, the positive factor pairs of 1315 are: (1, 1315) and (5, 263).
All these factor pairs result in 1315.
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1315 by 1, 1315 ÷ 1 = 1315.
Step 2: Continue dividing 1315 by the numbers until the remainder becomes 0.
1315 ÷ 1 = 1315
1315 ÷ 5 = 263
Therefore, the factors of 1315 are: 1, 5, 263, 1315.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1315 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1315 ÷ 5 = 263
263 ÷ 263 = 1
The prime factors of 1315 are 5 and 263.
The prime factorization of 1315 is: 5 × 263.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1315 is divided by 5 to get 263.
Step 2: Now divide 263 by 263 to get 1.
Here, 263 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1315 is: 5 × 263.
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 1315: (1, 1315) and (5, 263).
Negative factor pairs of 1315: (-1, -1315) and (-5, -263).
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 5 friends and 1315 candies. How will they divide them equally?
They will get 263 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
1315/5 = 263
A rectangular plot has a length of 263 meters and the total area is 1315 square meters. Find the width?
5 meters.
To find the width of the plot, we use the formula,
Area = length × width
1315 = 263 × width
To find the value of width, we need to shift 263 to the left side.
1315/263 = width
Width = 5.
There are 263 boxes and 1315 apples. How many apples will be in each box?
Each box will have 5 apples.
To find the apples in each box, divide the total apples by the boxes.
1315/263 = 5
In a library, there are 1315 books and 5 shelves. How many books are there on each shelf?
There are 263 books on each shelf.
Dividing the books by the total shelves, we will get the number of books on each shelf.
1315/5 = 263
1315 papers need to be distributed among 5 offices. How many papers will go to each office?
Each office will get 263 papers.
Divide total papers by offices.
1315/5 = 263
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.