135 LearnersLast updated on May 30th, 2025
Factors of 1602
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 1602, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1602?
The numbers that divide 1602 evenly are known as factors of 1602.
A factor of 1602 is a number that divides the number without a remainder.
The factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, and 1602.
Negative factors of 1602: -1, -2, -3, -6, -9, -18, -89, -178, -267, -534, -801, and -1602.
Prime factors of 1602: 2, 3, and 89.
Prime factorization of 1602: 2 × 32 × 89.
The sum of factors of 1602: 1 + 2 + 3 + 6 + 9 + 18 + 89 + 178 + 267 + 534 + 801 + 1602 = 3510
How to Find Factors of 1602?
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 1602. Identifying the numbers which are multiplied to get the number 1602 is the multiplication method.
Step 1: Multiply 1602 by 1, 1602 × 1 = 1602.
Step 2: Check for other numbers that give 1602 after multiplying
2 × 801 = 1602
3 × 534 = 1602
6 × 267 = 1602
9 × 178 = 1602
18 × 89 = 1602
Therefore, the positive factor pairs of 1602 are: (1, 1602), (2, 801), (3, 534), (6, 267), (9, 178), (18, 89).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 1602 by 1, 1602 ÷ 1 = 1602.
Step 2: Continue dividing 1602 by the numbers until the remainder becomes 0.
1602 ÷ 1 = 1602
1602 ÷ 2 = 801
1602 ÷ 3 = 534
1602 ÷ 6 = 267
1602 ÷ 9 = 178
1602 ÷ 18 = 89
Therefore, the factors of 1602 are: 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602.
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 1602 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1602 ÷ 2 = 801
801 ÷ 3 = 267
267 ÷ 3 = 89
89 ÷ 89 = 1
The prime factors of 1602 are 2, 3, and 89.
The prime factorization of 1602 is: 2 × 32 × 89.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1602 is divided by 2 to get 801.
Step 2: Now divide 801 by 3 to get 267.
Step 3: Then divide 267 by 3 to get 89.
Step 4: Here, 89 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1602 is: 2 × 32 × 89.
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 1602: (1, 1602), (2, 801), (3, 534), (6, 267), (9, 178), (18, 89).
Negative factor pairs of 1602: (-1, -1602), (-2, -801), (-3, -534), (-6, -267), (-9, -178), (-18, -89).
Common Mistakes and How to Avoid Them in Factors of 1602
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 1602, 1 and 1602 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 1602 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1602/1.5 = 1068, 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 1602 are prime numbers.
For example, 2, 3, and 89 are the prime factors of 1602, but it has other factors like 6, 9.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1602 as 2 × 32 × 89 and missing all the key factors.
Factors of 1602 Examples
Problem 1
There are 6 friends and 1602 apples. How will they divide them equally?
They will get 267 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of friends.
1602/6 = 267
Problem 2
A field is rectangular, the length of the field is 9 meters, and the total area is 1602 square meters. Find the width?
178 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1602 = 9 × width
To find the value of width, we need to shift 9 to the left side.
1602/9 = width
Width = 178.
Problem 3
There are 3 trucks and 1602 boxes. How many boxes will be in each truck?
Each truck will have 534 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
1602/3 = 534
Problem 4
In a class, there are 1602 students, and 18 groups. How many students are there in each group?
There are 89 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1602/18 = 89
Problem 5
1602 pieces of candy need to be arranged in 9 jars. How many candies will go in each jar?
Each of the jars has 178 candies.
Explanation
Divide total candies by jars.
1602/9 = 178
FAQs on Factors of 1602
1.What are the factors of 1602?
2.Mention the prime factors of 1602.
3.Is 1602 a multiple of 3?
4.Mention the factor pairs of 1602?
5.What is the square of 1602?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1602?
7.What are some fun ways kids in Qatar can practice Factors of 1602 with numbers?
8.What role do numbers and Factors of 1602 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1602 skills?
Important Glossaries for Factors of 1602
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, and 1602.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 89 are prime factors of 1602.
- 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 1602 are (1, 1602), (2, 801), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 1602 = 2 × 32 × 89.
- Negative factors: Factors that are negative integers. For example, -1, -2, -3, -6, -9, -18, -89, -178, -267, -534, -801, -1602 are negative factors of 1602.
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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.
