100 LearnersLast updated on May 26th, 2025
Factors of 608
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 608, how they are used in real life, and tips to learn them quickly.
What are the Factors of 608?
The numbers that divide 608 evenly are known as factors of 608.
A factor of 608 is a number that divides the number without remainder.
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, and 608.
Negative factors of 608: -1, -2, -4, -8, -16, -19, -32, -38, -76, -152, -304, and -608.
Prime factors of 608: 2 and 19.
Prime factorization of 608: 24 × 19.
The sum of factors of 608: 1 + 2 + 4 + 8 + 16 + 19 + 32 + 38 + 76 + 152 + 304 + 608 = 1260
How to Find Factors of 608?
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 608. Identifying the numbers which are multiplied to get the number 608 is the multiplication method.
Step 1: Multiply 608 by 1, 608 × 1 = 608.
Step 2: Check for other numbers that give 608 after multiplying
2 × 304 = 608
4 × 152 = 608
8 × 76 = 608
16 × 38 = 608
19 × 32 = 608
Therefore, the positive factor pairs of 608 are: (1, 608), (2, 304), (4, 152), (8, 76), (16, 38), and (19, 32). 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 608 by 1, 608 ÷ 1 = 608.
Step 2: Continue dividing 608 by the numbers until the remainder becomes 0.
608 ÷ 1 = 608
608 ÷ 2 = 304
608 ÷ 4 = 152
608 ÷ 8 = 76
608 ÷ 16 = 38
608 ÷ 19 = 32
Therefore, the factors of 608 are: 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608.
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 factor tree
Using Prime Factorization: In this process, prime factors of 608 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
608 ÷ 2 = 304
304 ÷ 2 = 152
152 ÷ 2 = 76
76 ÷ 2 = 38
38 ÷ 19 = 2
2 ÷ 2 = 1
The prime factors of 608 are 2 and 19.
The prime factorization of 608 is: 24 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 608 is divided by 2 to get 304.
Step 2: Now divide 304 by 2 to get 152.
Step 3: Then divide 152 by 2 to get 76.
Step 4: Divide 76 by 2 to get 38.
Step 5: Divide 38 by 19 to get 2.
Here, 2 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 608 is: 24 × 19.
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 608: (1, 608), (2, 304), (4, 152), (8, 76), (16, 38), and (19, 32).
Negative factor pairs of 608: (-1, -608), (-2, -304), (-4, -152), (-8, -76), (-16, -38), and (-19, -32).
Common Mistakes and How to Avoid Them in Factors of 608
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 608, 1 and 608 are also factors.
Factors of 608 Examples
Problem 1
There are 19 tables and 608 plates. How will they distribute them equally?
They will get 32 plates each.
Explanation
To distribute the plates equally, we need to divide the total plates by the number of tables.
608/19 = 32
Problem 2
A rectangular garden has a length of 38 meters and a total area of 608 square meters. Find the width.
16 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
608 = 38 × width
To find the value of width, we need to shift 38 to the left side.
608/38 = width
Width = 16.
Problem 3
There are 32 boxes and 608 candies. How many candies will be in each box?
Each box will have 19 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
608/32 = 19
Problem 4
In a school, there are 608 students, and they are divided into 8 groups. How many students are there in each group?
There are 76 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
608/8 = 76
Problem 5
A library has 608 books and 4 shelves. How many books will go on each shelf?
Each shelf has 152 books.
Explanation
Divide total books by shelves.
608/4 = 152
FAQs on Factors of 608
1.What are the factors of 608?
2.Mention the prime factors of 608.
3.Is 608 a multiple of 4?
4.Mention the factor pairs of 608.
5.What is the square of 608?
Important Glossaries for Factors of 608
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, and 608.
- Prime factors: The factors which are prime numbers. For example, 2 and 19 are prime factors of 608.
- 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 608 are (1, 608), (2, 304), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 608 is 24 × 19.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number, such as (1, 608), (2, 304), etc., for 608.
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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.
