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 959, how they are used in real life, and tips to learn them quickly.
The numbers that divide 959 evenly are known as factors of 959.
A factor of 959 is a number that divides the number without remainder.
The factors of 959 are 1, 7, 137, and 959.
Negative factors of 959: -1, -7, -137, and -959.
Prime factors of 959: 7 and 137.
Prime factorization of 959: 7 × 137.
The sum of factors of 959: 1 + 7 + 137 + 959 = 1104
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 959. Identifying the numbers which are multiplied to get the number 959 is the multiplication method.
Step 1: Multiply 959 by 1, 959 × 1 = 959.
Step 2: Check for other numbers that give 959 after multiplying 7 × 137 = 959
Therefore, the positive factor pairs of 959 are: (1, 959) and (7, 137).
All these factor pairs result in 959.
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 959 by 1, 959 ÷ 1 = 959.
Step 2: Continue dividing 959 by the numbers until the remainder becomes 0.
959 ÷ 1 = 959
959 ÷ 7 = 137
Therefore, the factors of 959 are: 1, 7, 137, 959.
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 959 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
959 ÷ 7 = 137
137 ÷ 137 = 1
The prime factors of 959 are 7 and 137.
The prime factorization of 959 is: 7 × 137.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 959 is divided by 7 to get 137.
Step 2: Now divide 137 by 137 to get 1. Here, 137 is a prime number and cannot be divided anymore.
So, the prime factorization of 959 is: 7 × 137.
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 959: (1, 959) and (7, 137).
Negative factor pairs of 959: (-1, -959) and (-7, -137).
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 7 teams and 959 candies. How will they divide them equally?
Each team will get 137 candies.
To divide the candies equally, we need to divide the total candies by the number of teams.
959/7 = 137
A garden is rectangular, the length of the garden is 137 meters and the total area is 959 square meters. Find the width?
7 meters.
To find the width of the garden, we use the formula,
Area = length × width 959 = 137 × width
To find the width, we need to shift 137 to the left side.
959/137 = width
Width = 7.
There are 137 bags and 959 marbles. How many marbles will be in each bag?
Each bag will have 7 marbles.
To find the marbles in each bag, divide the total marbles by the number of bags.
959/137 = 7
In a class, there are 959 students, and 137 groups. How many students are there in each group?
There are 7 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
959/137 = 7
959 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 137 books.
Divide total books by shelves.
959/7 = 137
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.