131 LearnersLast updated on May 26th, 2025
Factors of 506
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 506, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 506?
The numbers that divide 506 evenly are known as factors of 506. A factor of 506 is a number that divides the number without remainder. The factors of 506 are 1, 2, 253, and 506. Negative factors of 506: -1, -2, -253, and -506. Prime factors of 506: 2 and 253. Prime factorization of 506: 2 × 253. The sum of factors of 506: 1 + 2 + 253 + 506 = 762
How to Find Factors of 506?
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 506. Identifying the numbers which are multiplied to get the number 506 is the multiplication method. Step 1: Multiply 506 by 1, 506 × 1 = 506. Step 2: Check for other numbers that give 506 after multiplying 2 × 253 = 506 Therefore, the positive factor pairs of 506 are: (1, 506), (2, 253). 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 506 by 1, 506 ÷ 1 = 506. Step 2: Continue dividing 506 by the numbers until the remainder becomes 0. 506 ÷ 1 = 506 506 ÷ 2 = 253 Therefore, the factors of 506 are: 1, 2, 253, 506.
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 factor tree Using Prime Factorization: In this process, prime factors of 506 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 506 ÷ 2 = 253 253 ÷ 253 = 1 The prime factors of 506 are 2 and 253. The prime factorization of 506 is: 2 × 253.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 506 is divided by 2 to get 253. Here, 253 is a prime number, so it cannot be divided further. So, the prime factorization of 506 is: 2 × 253. 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 506: (1, 506), (2, 253). Negative factor pairs of 506: (-1, -506), (-2, -253).
Common Mistakes and How to Avoid Them in Factors of 506
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 whole number. Always remember to include 1 and the number itself. For example, in factors of 506, 1 and 506 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 506 consist of -1, -2, -253, 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 506/1.5 ≈ 337.333, 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 506 are prime numbers. For example, 2 and 253 are the prime factors of 506, but it has other factors like 1, 506.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 506 as 2 × 253 and missing key factors.
Factors of 506 Examples
Problem 1
There are 2 teams and 506 fans. How will they be divided equally?
Each team will get 253 fans.
Explanation
To divide the fans equally, we need to divide the total fans by the number of teams. 506/2 = 253
Problem 2
A rectangular garden has a length of 253 meters and a total area of 506 square meters. What is the width?
2 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 506 = 253 × width To find the value of width, we need to shift 253 to the left side. 506/253 = width Width = 2.
Problem 3
There are 506 apples, and each basket can hold 253 apples. How many baskets are needed?
2 baskets are needed.
Explanation
To find the number of baskets needed, divide the total apples by the capacity of each basket. 506/253 = 2
Problem 4
In a tournament, there are 506 participants divided into 2 groups. How many participants are there in each group?
There are 253 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group. 506/2 = 253
Problem 5
506 trees are planted in rows of 253. How many rows are there?
There are 2 rows.
Explanation
Divide the total number of trees by the number of trees per row. 506/253 = 2
FAQs on Factors of 506
1.What are the factors of 506?
2.Mention the prime factors of 506.
3.Is 506 a multiple of 2?
4.Mention the factor pairs of 506?
5.What is the square of 506?
6.How can children in India use numbers in everyday life to understand Factors of 506?
7.What are some fun ways kids in India can practice Factors of 506 with numbers?
8.What role do numbers and Factors of 506 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 506 skills?
Important Glossaries for Factor of 506
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 506 are 1, 2, 253, and 506. Prime factors: The factors which are prime numbers. For example, 2 and 253 are prime factors of 506. 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 506 are (1, 506) and (2, 253). Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 506 is 2 × 253. Negative factors: Factors that are negative integers. For example, the negative factors of 506 are -1, -2, -253, and -506.
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About BrightChamps in India
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.
