121 LearnersLast updated on May 26th, 2025
Factors of 502
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 502, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 502?
The numbers that divide 502 evenly are known as factors of 502. A factor of 502 is a number that divides the number without remainder. The factors of 502 are 1, 2, 251, and 502. Negative factors of 502: -1, -2, -251, and -502. Prime factors of 502: 2 and 251. Prime factorization of 502: 2 × 251. The sum of factors of 502: 1 + 2 + 251 + 502 = 756
How to Find Factors of 502?
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using 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 502. Identifying the numbers which are multiplied to get the number 502 is the multiplication method. Step 1: Multiply 502 by 1, 502 × 1 = 502. Step 2: Check for other numbers that give 502 after multiplying 2 × 251 = 502 Therefore, the positive factor pairs of 502 are: (1, 502), (2, 251). All these factor pairs result in 502. 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 502 by 1, 502 ÷ 1 = 502. Step 2: Continue dividing 502 by the numbers until the remainder becomes 0. 502 ÷ 1 = 502 502 ÷ 2 = 251 Therefore, the factors of 502 are: 1, 2, 251, 502.
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 502 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 502 ÷ 2 = 251 251 ÷ 251 = 1 The prime factors of 502 are 2 and 251. The prime factorization of 502 is: 2 × 251.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 502 is divided by 2 to get 251. Step 2: Now divide 251 by itself to get 1. 251 is a prime number, so it cannot be divided further. So, the prime factorization of 502 is: 2 × 251. 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 502: (1, 502), (2, 251). Negative factor pairs of 502: (-1, -502), (-2, -251).
Common Mistakes and How to Avoid Them in Factors of 502
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 502, 1 and 502 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 502 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor. For example, thinking 2.5 as a factor, because 502/2.5 = 200.8, 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 502 are prime numbers. For example, 2 and 251 are the prime factors of 502, but it has other factors like 1, 502.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 502 as 2 × 251 and missing all the key factors.
Factors of 502 Examples
Problem 1
There are 2 coaches and 502 players. How will they divide them equally among the coaches?
They will get 251 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of coaches. 502/2 = 251
Problem 2
A rectangular plot has a width of 2 meters and the total area is 502 square meters. Find the length?
251 meters.
Explanation
To find the length of the plot, we use the formula, Area = length × width 502 = 2 × length To find the value of length, we need to shift 2 to the left side. 502/2 = length Length = 251.
Problem 3
There are 1,004 candies and each box can hold 502 candies. How many boxes are needed?
2 boxes are needed.
Explanation
To find the number of boxes needed, divide the total candies by the number of candies each box can hold. 1,004/502 = 2
Problem 4
In a concert, there are 502 seats and 2 sections. How many seats are there in each section?
There are 251 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section. 502/2 = 251
Problem 5
502 pages need to be printed with 2 printers. How many pages will each printer print?
Each printer will print 251 pages.
Explanation
Divide total pages by the number of printers. 502/2 = 251
FAQs on Factors of 502
1.What are the factors of 502?
2.Mention the prime factors of 502.
3.Is 502 a multiple of 2?
4.Mention the factor pairs of 502?
5.What is the square of 502?
Important Glossaries for Factor of 502
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 502 are 1, 2, 251, and 502. Prime factors: The factors which are prime numbers. For example, 2 and 251 are prime factors of 502. 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 502 are (1, 502) and (2, 251). Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 502 is 2 × 251. Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For example, using multiplication to find factor pairs of 502 like (1, 502) and (2, 251).
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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.
