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 780, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 780 evenly are known as factors of 780.
A factor of 780 is a number that divides the number without remainder.
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780.
Negative factors of 780: -1, -2, -3, -4, -5, -6, -10, -12, -13, -15, -20, -26, -30, -39, -52, -60, -65, -78, -130, -156, -195, -260, -390, and -780.
Prime factors of 780: 2, 3, 5, and 13.
Prime factorization of 780: 2 × 3 × 5 × 13.
The sum of factors of 780: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 13 + 15 + 20 + 26 + 30 + 39 + 52 + 60 + 65 + 78 + 130 + 156 + 195 + 260 + 390 + 780 = 2340
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 780. Identifying the numbers which are multiplied to get the number 780 is the multiplication method.
Step 1: Multiply 780 by 1, 780 × 1 = 780.
Step 2: Check for other numbers that give 780 after multiplying
2 × 390 = 780
3 × 260 = 780
4 × 195 = 780
5 × 156 = 780
6 × 130 = 780
10 × 78 = 780
12 × 65 = 780
13 × 60 = 780
15 × 52 = 780
20 × 39 = 780
26 × 30 = 780
Therefore, the positive factor pairs of 780 are: (1, 780), (2, 390), (3, 260), (4, 195), (5, 156), (6, 130), (10, 78), (12, 65), (13, 60), (15, 52), (20, 39), (26, 30).
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 simple division method
Step 1: Divide 780 by 1, 780 ÷ 1 = 780.
Step 2: Continue dividing 780 by the numbers until the remainder becomes 0.
780 ÷ 1 = 780
780 ÷ 2 = 390
780 ÷ 3 = 260
780 ÷ 4 = 195
780 ÷ 5 = 156
780 ÷ 6 = 130
780 ÷ 10 = 78
780 ÷ 12 = 65
780 ÷ 13 = 60
780 ÷ 15 = 52
780 ÷ 20 = 39
780 ÷ 26 = 30
Therefore, the factors of 780 are: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780.
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 780 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
780 ÷ 2 = 390
390 ÷ 2 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
The prime factors of 780 are 2, 3, 5, and 13.
The prime factorization of 780 is: 2 × 3 × 5 × 13.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 780 is divided by 2 to get 390.
Step 2: Now divide 390 by 2 to get 195.
Step 3: Then divide 195 by 3 to get 65.
Step 4: Divide 65 by 5 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 780 is: 2 × 3 × 5 × 13.
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 780: (1, 780), (2, 390), (3, 260), (4, 195), (5, 156), (6, 130), (10, 78), (12, 65), (13, 60), (15, 52), (20, 39), (26, 30).
Negative factor pairs of 780: (-1, -780), (-2, -390), (-3, -260), (-4, -195), (-5, -156), (-6, -130), (-10, -78), (-12, -65), (-13, -60), (-15, -52), (-20, -39), (-26, -30).
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 12 teams and 780 players. How will they be distributed equally?
Each team will have 65 players.
To distribute the players equally, we need to divide the total players by the number of teams.
780/12 = 65
A warehouse has a rectangular floor area of 780 square meters. If the length is 39 meters, what is the width?
20 meters.
To find the width of the warehouse, we use the formula,
Area = length × width
780 = 39 × width
To find the width, divide the area by the length.
780/39 = width
Width = 20.
There are 26 trucks and 780 packages. How many packages will each truck carry?
Each truck will carry 30 packages.
To find the number of packages in each truck, divide the total packages by the number of trucks.
780/26 = 30
In a company, there are 780 employees, and they are divided into 15 departments. How many employees are there in each department?
There are 52 employees in each department.
Dividing the employees by the total number of departments, we find the number of employees in each department.
780/15 = 52
780 chairs need to be arranged in 65 rows. How many chairs will go in each row?
Each row will have 12 chairs.
Divide the total number of chairs by the number of rows.
780/65 = 12
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.