127 LearnersLast updated on May 26th, 2025
Factors of 1959
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.
What are the Factors of 1959?
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
How to Find Factors of 1959?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 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.
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 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.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1959
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 1959, 1 and 1959 are also factors.
Mistake 2
Missing Negative Factors
We have used to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1959 consist of -1, -3, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1959/1.5 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 1959 are prime numbers.
For example, 3, 11, and 59 are prime factors of 1959, but it has other factors like 33, 177.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 1959 as 3 × 11 × 59 and missing all the key factors.
Factors of 1959 Examples
Problem 1
There are 3 teams and 1959 marbles. How will they divide it equally?
They will get 653 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1959/3 = 653
Problem 2
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.
Explanation
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.
Problem 3
There are 33 boxes and 1959 candies. How many candies will be in each box?
Each box will have 59 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1959/33 = 59
Problem 4
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.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1959/11 = 177
Problem 5
1959 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 653 books.
Explanation
Divide total books by shelves.
1959/3 = 653
FAQs on Factors of 1959
1.What are the factors of 1959?
2.Mention the prime factors of 1959.
3.Is 1959 a multiple of 11?
4.Mention the factor pairs of 1959?
5.What is the square of 1959?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1959?
7.What are some fun ways kids in Vietnam can practice Factors of 1959 with numbers?
8.What role do numbers and Factors of 1959 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1959 skills?
Important Glossaries for Factor of 1959
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1959 are 1, 3, 11, 33, 59, 177, 649, and 1959.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 59 are prime factors of 1959.
- 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 1959 are (1, 1959), (3, 653), etc.
- Prime factorization: Breaking down a number into the product of its prime factors, such as 3 × 11 × 59 for 1959.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.
Explore More numbers
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.
