Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without 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 788, how they are used in real life, and tips to learn them quickly.
The numbers that divide 788 evenly are known as factors of 788.
A factor of 788 is a number that divides the number without remainder.
The factors of 788 are 1, 2, 4, 197, 394, and 788.
Negative factors of 788: -1, -2, -4, -197, -394, and -788.
Prime factors of 788: 2 and 197.
Prime factorization of 788: 2² × 197.
The sum of factors of 788: 1 + 2 + 4 + 197 + 394 + 788 = 1386
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 788. Identifying the numbers which are multiplied to get the number 788 is the multiplication method.
Step 1: Multiply 788 by 1, 788 × 1 = 788.
Step 2: Check for other numbers that give 788 after multiplying
2 × 394 = 788
4 × 197 = 788
Therefore, the positive factor pairs of 788 are: (1, 788), (2, 394), and (4, 197).
All these factor pairs result in 788. 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 the simple division method:
Step 1: Divide 788 by 1, 788 ÷ 1 = 788.
Step 2: Continue dividing 788 by the numbers until the remainder becomes 0.
788 ÷ 1 = 788
788 ÷ 2 = 394
788 ÷ 4 = 197
Therefore, the factors of 788 are: 1, 2, 4, 197, 394, 788.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 788 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
788 ÷ 2 = 394
394 ÷ 2 = 197
197 ÷ 197 = 1
The prime factors of 788 are 2 and 197.
The prime factorization of 788 is 2² × 197.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 788 is divided by 2 to get 394.
Step 2: Now divide 394 by 2 to get 197. Here, 197 is a prime number that cannot be divided anymore. So, the prime factorization of 788 is 2² × 197.
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 788: (1, 788), (2, 394), (4, 197).
Negative factor pairs of 788: (-1, -788), (-2, -394), (-4, -197).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A bakery has 788 cupcakes and 4 display trays. How many cupcakes will be on each tray?
Each tray will have 197 cupcakes.
To divide the cupcakes equally, we need to divide the total cupcakes by the number of trays.
788/4 = 197
A garden has a rectangular shape with a length of 394 meters and a total area of 788 square meters. Find the width.
2 meters.
To find the width of the garden, we use the formula, Area = length × width
788 = 394 × width
To find the value of width, we need to shift 394 to the left side.
788/394 = width
Width = 2.
There are 2 teams and 788 players. How many players will be in each team?
Each team will have 394 players.
To find the players in each team, divide the total players by the teams.
788/2 = 394
A library has 788 books, and 197 shelves. How many books are there on each shelf?
There are 4 books on each shelf.
Dividing the books by the total shelves, we will get the number of books on each shelf.
788/197 = 4
788 apples need to be packed into 2 boxes. How many apples will go in each box?
Each box will have 394 apples.
Divide total apples by boxes.
788/2 = 394
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.