134 LearnersLast updated on May 26th, 2025
Factors of 959
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.
What are the Factors of 959?
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
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How to Find Factors of 959?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 959
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 959, 1 and 959 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 959 consist of -1, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 959/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 959 are prime numbers.
For example, 7 and 137 are the prime factors of 959, but it has other factors like 1, 959.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 959 as 7 × 137 and missing all the key factors.
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Factors of 959 Examples
Problem 1
There are 7 teams and 959 candies. How will they divide them equally?
Each team will get 137 candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
959/7 = 137
Problem 2
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.
Explanation
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.
Problem 3
There are 137 bags and 959 marbles. How many marbles will be in each bag?
Each bag will have 7 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags.
959/137 = 7
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
959/137 = 7
Problem 5
959 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 137 books.
Explanation
Divide total books by shelves.
959/7 = 137
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FAQs on Factors of 959
1.What are the factors of 959?
2.Mention the prime factors of 959.
3.Is 959 a multiple of 7?
4.Mention the factor pairs of 959?
5.What is the square of 959?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 959?
7.What are some fun ways kids in Vietnam can practice Factors of 959 with numbers?
8.What role do numbers and Factors of 959 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 959 skills?
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Important Glossaries for Factors of 959
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 959 are 1, 7, 137, and 959.
- Prime factors: The factors which are prime numbers. For example, 7 and 137 are prime factors of 959.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 959 are (1, 959) and (7, 137).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 959 = 7 × 137.
- Negative factors: Factors can also be negative. For example, the negative factors of 959 include -1, -7, -137, and -959.
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About BrightChamps in Vietnam
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
