Last updated on May 30th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 73 students and 1606 candies. How will they distribute them equally?
They will get 22 candies each.
To distribute the candies equally, we need to divide the total candies by the number of students.
1606/73 = 22
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.
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.
There are 22 boxes and 1606 apples. How many apples will be in each box?
Each box will have 73 apples.
To find the apples in each box, divide the total apples by the boxes.
1606/22 = 73
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.
Dividing the workers by the number in each group, we will get the number of groups.
1606/803 = 2
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.
Divide total sheets by packs.
1606/803 = 2
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.
: She loves to read number jokes and games.