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 1960, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1960 evenly are known as factors of 1960.
A factor of 1960 is a number that divides the number without remainder.
The factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, and 1960.
Negative factors of 1960: -1, -2, -4, -5, -7, -8, -10, -14, -20, -28, -35, -40, -49, -56, -70, -98, -140, -196, -245, -280, -392, -490, -980, and -1960.
Prime factors of 1960: 2, 5, and 7.
Prime factorization of 1960: 2³ × 5 × 7².
The sum of factors of 1960: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 28 + 35 + 40 + 49 + 56 + 70 + 98 + 140 + 196 + 245 + 280 + 392 + 490 + 980 + 1960 = 6300
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 1960. Identifying the numbers which are multiplied to get the number 1960 is the multiplication method.
Step 1: Multiply 1960 by 1, 1960 × 1 = 1960.
Step 2: Check for other numbers that give 1960 after multiplying
2 × 980 = 1960
4 × 490 = 1960
5 × 392 = 1960
7 × 280 = 1960
8 × 245 = 1960
10 × 196 = 1960
14 × 140 = 1960
20 × 98 = 1960
28 × 70 = 1960
35 × 56 = 1960
Therefore, the positive factor pairs of 1960 are: (1, 1960), (2, 980), (4, 490), (5, 392), (7, 280), (8, 245), (10, 196), (14, 140), (20, 98), (28, 70), (35, 56).
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 1960 by 1, 1960 ÷ 1 = 1960.
Step 2: Continue dividing 1960 by the numbers until the remainder becomes 0.
1960 ÷ 1 = 1960
1960 ÷ 2 = 980
1960 ÷ 4 = 490
1960 ÷ 5 = 392
1960 ÷ 7 = 280
1960 ÷ 8 = 245
1960 ÷ 10 = 196
1960 ÷ 14 = 140
1960 ÷ 20 = 98
1960 ÷ 28 = 70
1960 ÷ 35 = 56
Therefore, the factors of 1960 are: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, and 1960.
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 1960 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1960 ÷ 2 = 980
980 ÷ 2 = 490
490 ÷ 2 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 1960 are 2, 5, and 7.
The prime factorization of 1960 is: 2³ × 5 × 7².
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1960 is divided by 2 to get 980.
Step 2: Now divide 980 by 2 to get 490.
Step 3: Then divide 490 by 2 to get 245.
Step 4: Divide 245 by 5 to get 49.
Step 5: Divide 49 by 7 to get 7. Step 6: Here, 7 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1960 is: 2³ × 5 × 7².
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 1960: (1, 1960), (2, 980), (4, 490), (5, 392), (7, 280), (8, 245), (10, 196), (14, 140), (20, 98), (28, 70), and (35, 56).
Negative factor pairs of 1960: (-1, -1960), (-2, -980), (-4, -490), (-5, -392), (-7, -280), (-8, -245), (-10, -196), (-14, -140), (-20, -98), (-28, -70), and (-35, -56).
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 14 families and 1960 apples. How will they distribute them equally?
They will get 140 apples each.
To distribute the apples equally, we need to divide the total apples by the number of families.
1960/14 = 140
A rectangular garden has a length of 35 meters and the total area is 1960 square meters. Find the width.
56 meters.
To find the width of the garden, we use the formula,
Area = length × width
1960 = 35 × width
To find the value of width, we need to shift 35 to the left side.
1960/35 = width
Width = 56.
There are 28 crates and 1960 oranges. How many oranges will be in each crate?
Each crate will have 70 oranges.
To find the oranges in each crate, divide the total oranges by the number of crates.
1960/28 = 70
In a company, there are 1960 employees, and 280 teams. How many employees are there in each team?
There are 7 employees in each team.
Dividing the employees by the total teams, we will get the number of employees in each team.
1960/280 = 7
1960 chairs need to be arranged in 140 rows. How many chairs will go in each row?
Each row has 14 chairs.
Divide total chairs by rows.
1960/140 = 14
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.