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 1959, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1959 evenly are known as factors of 1959.
A factor of 1959 is a number that divides the number without remainder.
The factors of 1959 are 1, 3, 11, 33, 59, 177, 649, and 1959.
Negative factors of 1959: -1, -3, -11, -33, -59, -177, -649, and -1959.
Prime factors of 1959: 3, 11, and 59.
Prime factorization of 1959: 3 × 11 × 59.
The sum of factors of 1959: 1 + 3 + 11 + 33 + 59 + 177 + 649 + 1959 = 2892
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 1959. Identifying the numbers which are multiplied to get the number 1959 is the multiplication method.
Step 1: Multiply 1959 by 1, 1959 × 1 = 1959.
Step 2: Check for other numbers that give 1959 after multiplying
3 × 653 = 1959
11 × 177 = 1959
33 × 59 = 1959
Therefore, the positive factor pairs of 1959 are: (1, 1959), (3, 653), (11, 177), (33, 59).
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 1959 by 1, 1959 ÷ 1 = 1959.
Step 2: Continue dividing 1959 by the numbers until the remainder becomes 0.
1959 ÷ 1 = 1959
1959 ÷ 3 = 653
1959 ÷ 11 = 177
1959 ÷ 33 = 59
Therefore, the factors of 1959 are: 1, 3, 11, 33, 59, 177, 649, 1959.
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 1959 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1959 ÷ 3 = 653
653 ÷ 11 = 59
59 ÷ 59 = 1
The prime factors of 1959 are 3, 11, and 59.
The prime factorization of 1959 is: 3 × 11 × 59.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1959 is divided by 3 to get 653.
Step 2: Now divide 653 by 11 to get 59.
Step 3: Here, 59 is a prime number and cannot be divided further. So, the prime factorization of 1959 is: 3 × 11 × 59.
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 1959: (1, 1959), (3, 653), (11, 177), (33, 59).
Negative factor pairs of 1959: (-1, -1959), (-3, -653), (-11, -177), (-33, -59).
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 3 teams and 1959 marbles. How will they divide it equally?
They will get 653 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1959/3 = 653
A park is rectangular, the length of the park is 11 meters and the total area is 1959 square meters. Find the width?
177 meters.
To find the width of the park, we use the formula,
Area = length × width
1959 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1959/11 = width
Width = 177.
There are 33 boxes and 1959 candies. How many candies will be in each box?
Each box will have 59 candies.
To find the candies in each box, divide the total candies by the boxes.
1959/33 = 59
In a school, there are 1959 students, and 11 classes. How many students are there in each class?
There are 177 students in each class.
Dividing the students by the total classes, we will get the number of students in each class.
1959/11 = 177
1959 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 653 books.
Divide total books by shelves.
1959/3 = 653
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.