122 LearnersLast updated on May 26th, 2025
Factors of 602
Factors are the numbers that divide any given number evenly without a 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 602, how they are used in real life, and tips to learn them quickly.
What are the Factors of 602?
The numbers that divide 602 evenly are known as factors of 602.
A factor of 602 is a number that divides the number without a remainder.
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, and 602.
Negative factors of 602: -1, -2, -7, -14, -43, -86, -301, and -602.
Prime factors of 602: 2, 7, and 43.
Prime factorization of 602: 2 × 7 × 43.
The sum of factors of 602: 1 + 2 + 7 + 14 + 43 + 86 + 301 + 602 = 1056
How to Find Factors of 602?
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 602. Identifying the numbers which are multiplied to get the number 602 is the multiplication method.
Step 1: Multiply 602 by 1, 602 × 1 = 602.
Step 2: Check for other numbers that give 602 after multiplying
2 × 301 = 602
7 × 86 = 602
14 × 43 = 602
Therefore, the positive factor pairs of 602 are: (1, 602), (2, 301), (7, 86), (14, 43). All these factor pairs result in 602. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 602 by 1, 602 ÷ 1 = 602.
Step 2: Continue dividing 602 by the numbers until the remainder becomes 0.
602 ÷ 1 = 602
602 ÷ 2 = 301
602 ÷ 7 = 86
602 ÷ 14 = 43
Therefore, the factors of 602 are: 1, 2, 7, 14, 43, 86, 301, 602.
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 602 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
602 ÷ 2 = 301
301 ÷ 7 = 43
43 ÷ 43 = 1
The prime factors of 602 are 2, 7, and 43. The prime factorization of 602 is: 2 × 7 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 602 is divided by 2 to get 301.
Step 2: Now divide 301 by 7 to get 43.
Step 3: 43 is a prime number and cannot be divided further.
So, the prime factorization of 602 is: 2 × 7 × 43.
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 602: (1, 602), (2, 301), (7, 86), and (14, 43).
Negative factor pairs of 602: (-1, -602), (-2, -301), (-7, -86), and (-14, -43).
Common Mistakes and How to Avoid Them in Factors of 602
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 602, 1 and 602 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 602 include -1, -2, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 602/1.5 = 401.333, 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 602 are prime numbers. 2, 7, and 43 are the prime factors of 602, but it has other factors like 14, 86.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 602 down as 2 × 7 × 43 and missing all the key factors.
Factors of 602 Examples
Problem 1
There are 602 apples and 2 baskets. How will they be divided equally?
Each basket will get 301 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
602/2 = 301
Problem 2
A rectangular garden has a length of 43 meters and a total area of 602 square meters. Find the width.
14 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
602 = 43 × width
To find the value of the width, we need to shift 43 to the left side.
602/43 = width
Width = 14.
Problem 3
There are 86 books and 7 shelves. How many books will be on each shelf?
Each shelf will have 12 books.
Explanation
To find the books on each shelf, divide the total books by the number of shelves.
602/7 = 86
Problem 4
A charity event has 602 participants and 301 teams. How many participants are there in each team?
There are 2 participants in each team.
Explanation
Dividing the participants by the total number of teams, we get the number of participants in each team.
602/301 = 2
Problem 5
602 items need to be arranged in 43 storage boxes. How many items will go in each box?
Each box will have 14 items.
Explanation
Divide total items by the number of boxes.
602/43 = 14
FAQs on Factors of 602
1.What are the factors of 602?
2.Mention the prime factors of 602.
3.Is 602 a multiple of 43?
4.Mention the factor pairs of 602?
5.What is the square of 602?
Important Glossaries for Factor of 602
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 602 are 1, 2, 7, 14, 43, 86, 301, and 602.
- Prime factors: The factors which are prime numbers. For example, 2, 7, and 43 are prime factors of 602.
- 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 602 are (1, 602), (2, 301), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 602 is 2 × 7 × 43.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using (14, 43) as a factor pair of 602.
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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.
