128 LearnersLast updated on May 26th, 2025
Factors of 606
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 606, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 606?
The numbers that divide 606 evenly are known as factors of 606.
A factor of 606 is a number that divides the number without remainder.
The factors of 606 are 1, 2, 3, 6, 101, 202, 303, and 606.
Negative factors of 606: -1, -2, -3, -6, -101, -202, -303, and -606.
Prime factors of 606: 2, 3, and 101.
Prime factorization of 606: 2 × 3 × 101.
The sum of factors of 606: 1 + 2 + 3 + 6 + 101 + 202 + 303 + 606 = 1224
How to Find Factors of 606?
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 606. Identifying the numbers which are multiplied to get the number 606 is the multiplication method.
Step 1: Multiply 606 by 1, 606 × 1 = 606.
Step 2: Check for other numbers that give 606 after multiplying
2 × 303 = 606
3 × 202 = 606
6 × 101 = 606
Therefore, the positive factor pairs of 606 are: (1, 606), (2, 303), (3, 202), (6, 101). All these factor pairs result in 606. 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 606 by 1, 606 ÷ 1 = 606.
Step 2: Continue dividing 606 by the numbers until the remainder becomes 0.
606 ÷ 1 = 606
606 ÷ 2 = 303
606 ÷ 3 = 202
606 ÷ 6 = 101
Therefore, the factors of 606 are: 1, 2, 3, 6, 101, 202, 303, 606.
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 606 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
606 ÷ 2 = 303
303 ÷ 3 = 101
101 ÷ 101 = 1
The prime factors of 606 are 2, 3, and 101.
The prime factorization of 606 is: 2 × 3 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 606 is divided by 2 to get 303.
Step 2: Now divide 303 by 3 to get 101.
Step 3: Here, 101 is a prime number that cannot be divided anymore.
So, the prime factorization of 606 is: 2 × 3 × 101.
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 606: (1, 606), (2, 303), (3, 202), (6, 101).
Negative factor pairs of 606: (-1, -606), (-2, -303), (-3, -202), (-6, -101).
Common Mistakes and How to Avoid Them in Factors of 606
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 606, 1 and 606 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 606 consist of -1, -2, -3, 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 606/1.5 = 404, and it 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 606 are prime numbers.
For example, 2, 3, and 101 are the prime factors of 606, but it has other factors like 6, 303.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 606 into 2 × 3 × 101 and missing all the key factors.
Factors of 606 Examples
Problem 1
There are 6 friends and 606 beads. How will they divide them equally?
They will get 101 beads each.
Explanation
To divide the beads equally, we need to divide the total beads by the number of friends.
606/6 = 101
Problem 2
A rectangular field has a length of 3 meters and a total area of 606 square meters. Find the width.
202 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
606 = 3 × width
To find the value of width, we need to shift 3 to the left side.
606/3 = width
Width = 202.
Problem 3
There are 303 boxes and 606 apples. How many apples will be in each box?
Each box will have 2 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
606/303 = 2
Problem 4
In a class, there are 606 students, and 3 groups. How many students are there in each group?
There are 202 students in each group.
Explanation
Dividing the students by the total groups, we get the number of students in each group.
606/3 = 202
Problem 5
606 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 101 books.
Explanation
Divide total books by shelves.
606/6 = 101
FAQs on Factors of 606
1.What are the factors of 606?
2.Mention the prime factors of 606.
3.Is 606 a multiple of 3?
4.Mention the factor pairs of 606?
5.What is the square of 606?
Important Glossaries for Factor of 606
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 606 are 1, 2, 3, 6, 101, 202, 303, and 606.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 101 are prime factors of 606.
- 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 606 are (1, 606), (2, 303), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 606 is 2 × 3 × 101.
- Negative factors: The negative counterparts of the positive factors. For example, for 606, the negative factors are -1, -2, -3, -6, -101, -202, -303, and -606.
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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.
