100 LearnersLast updated on May 26th, 2025
Factors of 501
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 501, how they are used in real life, and tips to learn them quickly.
What are the Factors of 501?
The numbers that divide 501 evenly are known as factors of 501. A factor of 501 is a number that divides the number without remainder. The factors of 501 are 1, 3, 167, and 501. Negative factors of 501: -1, -3, -167, and -501. Prime factors of 501: 3 and 167. Prime factorization of 501: 3 × 167. The sum of the factors of 501: 1 + 3 + 167 + 501 = 672
How to Find Factors of 501?
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 501. Identifying the numbers which are multiplied to get the number 501 is the multiplication method. Step 1: Multiply 501 by 1, 501 × 1 = 501. Step 2: Check for other numbers that give 501 after multiplying 3 × 167 = 501 Therefore, the positive factor pairs of 501 are: (1, 501) and (3, 167). All these factor pairs result in 501. 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 501 by 1, 501 ÷ 1 = 501. Step 2: Continue dividing 501 by the numbers until the remainder becomes 0. 501 ÷ 1 = 501 501 ÷ 3 = 167 Therefore, the factors of 501 are: 1, 3, 167, and 501.
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 501 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 501 ÷ 3 = 167 167 ÷ 167 = 1 The prime factors of 501 are 3 and 167. The prime factorization of 501 is: 3 × 167.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 501 is divided by 3 to get 167. Step 2: Now divide 167 by 167 to get 1. Here, 167 is a prime number, and it cannot be divided anymore. So, the prime factorization of 501 is: 3 × 167. 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 501: (1, 501) and (3, 167). Negative factor pairs of 501: (-1, -501) and (-3, -167).
Common Mistakes and How to Avoid Them in Factors of 501
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 501, 1 and 501 are also factors.
Factors of 501 Examples
Problem 1
There are 3 teams and 501 participants. How will they divide the participants equally?
Each team will have 167 participants.
Explanation
To divide the participants equally, we need to divide the total participants with the number of teams. 501/3 = 167
Problem 2
A garden is rectangular, the length of the garden is 3 meters and the total area is 501 square meters. Find the width.
167 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 501 = 3 × width To find the value of width, we need to shift 3 to the left side. 501/3 = width Width = 167.
Problem 3
There are 167 books and 501 students. How many students will share each book?
Each book will be shared by 3 students.
Explanation
To find the number of students sharing each book, divide the total students by the books. 501/167 = 3
FAQs on Factors of 501
1.What are the factors of 501?
2.Mention the prime factors of 501.
3.Is 501 a multiple of 3?
4.Mention the factor pairs of 501?
5.What is the square of 501?
6.How can children in Oman use numbers in everyday life to understand Factors of 501?
7.What are some fun ways kids in Oman can practice Factors of 501 with numbers?
8.What role do numbers and Factors of 501 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 501 skills?
Important Glossaries for Factors of 501
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 501 are 1, 3, 167, and 501. Prime factors: The factors which are prime numbers. For example, 3 and 167 are prime factors of 501. 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 501 are (1, 501) and (3, 167). Prime factorization: The expression of a number as the product of its prime factors. For instance, the prime factorization of 501 is 3 × 167. Negative factors: The negative counterparts of the positive factors of a number. For example, for 501, they are -1, -3, -167, and -501.
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About BrightChamps in Oman
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.
