135 LearnersLast updated on May 30th, 2025
Factors of 1606
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 1606, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1606?
The numbers that divide 1606 evenly are known as factors of 1606.
A factor of 1606 is a number that divides the number without a remainder.
The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, and 1606.
Negative factors of 1606: -1, -2, -11, -22, -73, -146, -803, and -1606.
Prime factors of 1606: 2, 11, and 73.
Prime factorization of 1606: 2 × 11 × 73.
The sum of factors of 1606: 1 + 2 + 11 + 22 + 73 + 146 + 803 + 1606 = 2664
How to Find Factors of 1606?
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 1606. Identifying the numbers which are multiplied to get the number 1606 is the multiplication method.
Step 1: Multiply 1606 by 1, 1606 × 1 = 1606.
Step 2: Check for other numbers that give 1606 after multiplying
2 × 803 = 1606
11 × 146 = 1606
22 × 73 = 1606
Therefore, the positive factor pairs of 1606 are: (1, 1606), (2, 803), (11, 146), (22, 73).
All these factor pairs result in 1606. 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 1606 by 1, 1606 ÷ 1 = 1606.
Step 2: Continue dividing 1606 by the numbers until the remainder becomes 0.
1606 ÷ 1 = 1606
1606 ÷ 2 = 803
1606 ÷ 11 = 146
1606 ÷ 22 = 73
Therefore, the factors of 1606 are: 1, 2, 11, 22, 73, 146, 803, 1606.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 1606 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1606 ÷ 2 = 803
803 ÷ 11 = 73
73 ÷ 73 = 1
The prime factors of 1606 are 2, 11, and 73.
The prime factorization of 1606 is: 2 × 11 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1606 is divided by 2 to get 803.
Step 2: Now divide 803 by 11 to get 73.
Step 3: Here, 73 is a prime number that cannot be divided anymore.
So, the prime factorization of 1606 is: 2 × 11 × 73.
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 1606: (1, 1606), (2, 803), (11, 146), and (22, 73).
Negative factor pairs of 1606: (-1, -1606), (-2, -803), (-11, -146), and (-22, -73).
Common Mistakes and How to Avoid Them in Factors of 1606
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 1606, 1 and 1606 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 1606 consist of -1, -2, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1606/1.5 = 1070.666, 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 1606 are prime numbers.
For example, 2, 11, and 73 are the prime factors of 1606, but it has other factors like 22, 146.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 1606 as 2 × 11 × 73 and missing all the key factors.
Factors of 1606 Examples
Problem 1
There are 73 students and 1606 candies. How will they distribute them equally?
They will get 22 candies each.
Explanation
To distribute the candies equally, we need to divide the total candies by the number of students.
1606/73 = 22
Problem 2
A garden is rectangular, the length of the garden is 11 meters and the total area is 1606 square meters. Find the width?
146 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1606 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1606/11 = width
Width = 146.
Problem 3
There are 22 boxes and 1606 apples. How many apples will be in each box?
Each box will have 73 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1606/22 = 73
Problem 4
In a factory, there are 1606 workers, and each group consists of 803 workers. How many groups can be formed?
2 groups can be formed.
Explanation
Dividing the workers by the number in each group, we will get the number of groups.
1606/803 = 2
Problem 5
1606 sheets of paper need to be packed into 803 packs. How many sheets will go in each pack?
Each of the packs has 2 sheets.
Explanation
Divide total sheets by packs.
1606/803 = 2
FAQs on Factors of 1606
1.What are the factors of 1606?
2.Mention the prime factors of 1606.
3.Is 1606 a multiple of 73?
4.Mention the factor pairs of 1606?
5.What is the square of 1606?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1606?
7.What are some fun ways kids in Qatar can practice Factors of 1606 with numbers?
8.What role do numbers and Factors of 1606 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1606 skills?
Important Glossaries for Factor of 1606
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1606 are 1, 2, 11, 22, 73, 146, 803, and 1606.
- Prime Factors: The factors which are prime numbers. For example, 2, 11, and 73 are prime factors of 1606.
- 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 1606 are (1, 1606), (2, 803), etc.
- Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1606 is 2 × 11 × 73.
- Multiple: A number that can be divided by another number without a remainder. For example, 1606 is a multiple of 73.
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About BrightChamps in Qatar
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.
