111 LearnersLast updated on May 26th, 2025
Factors of 159
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 159, how they are used in real life, and tips to learn them quickly.
What are the Factors of 159?
The numbers that divide 159 evenly are known as factors of 159. A factor of 159 is a number that divides the number without remainder. The factors of 159 are 1, 3, 53, and 159.
Negative factors of 159: -1, -3, -53, and -159.
Prime factors of 159: 3 and 53.
Prime factorization of 159: 3 × 53.
The sum of factors of 159: 1 + 3 + 53 + 159 = 216
How to Find Factors of 159?
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 159. Identifying the numbers which are multiplied to get the number 159 is the multiplication method.
Step 1: Multiply 159 by 1, 159 × 1 = 159.
Step 2: Check for other numbers that give 159 after multiplying 3 × 53 = 159
Therefore, the positive factor pairs of 159 are: (1, 159) and (3, 53). All these factor pairs result in 159. 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 the simple division method -
Step 1: Divide 159 by 1, 159 ÷ 1 = 159.
Step 2: Continue dividing 159 by the numbers until the remainder becomes 0.
159 ÷ 1 = 159
159 ÷ 3 = 53
Therefore, the factors of 159 are: 1, 3, 53, and 159.
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 159 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
159 ÷ 3 = 53
53 ÷ 53 = 1
The prime factors of 159 are 3 and 53. The prime factorization of 159 is: 3 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 159 is divided by 3 to get 53.
Step 2: 53 is a prime number and cannot be divided further. So, the prime factorization of 159 is: 3 × 53.
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 159: (1, 159) and (3, 53).
- Negative factor pairs of 159: (-1, -159) and (-3, -53).
Common Mistakes and How to Avoid Them in Factors of 159
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 word. Always remember to include 1 and the number itself. For example, in factors of 159, 1 and 159 are also factors.
Factors of 159 Examples
Problem 1
There are 3 teams and 159 apples. How will they divide them equally?
They will get 53 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of teams. 159/3 = 53
Problem 2
A rectangular banner has a width of 3 meters and a total area of 159 square meters. Find the length.
53 meters.
Explanation
To find the length of the banner, we use the formula,
Area = length × width
159 = length × 3
To find the value of length, we need to shift 3 to the left side.
159/3 = length
Length = 53.
Problem 3
There are 53 boxes and 159 candies. How many candies will be in each box?
Each box will have 3 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
159/53 = 3
Problem 4
In a class, there are 159 students, and 53 groups. How many students are there in each group?
There are 3 students in each group.
Explanation
Dividing the students by the total groups gives the number of students in each group.
159/53 = 3
Problem 5
159 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 53 books.
Explanation
Divide total books by shelves.
159/3 = 53
FAQs on Factors of 159
1.What are the factors of 159?
2.Mention the prime factors of 159.
3.Is 159 a multiple of 3?
4.Mention the factor pairs of 159?
5.What is the square of 159?
Important Glossaries for Factors of 159
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 159 are 1, 3, 53, and 159.
- Prime factors: The factors which are prime numbers. For example, 3 and 53 are prime factors of 159.
- 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 159 are (1, 159) and (3, 53).
- Negative factors: Factors that are negative. For example, -1, -3, -53, and -159 are negative factors of 159.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 159 is 3 × 53.
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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.
