Factors of 500
2026-02-21 20:30 Diff
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Last updated on December 11, 2025

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 500, how they are used in real life, and tips to learn them quickly.

What are the Factors of 500?

The numbers that divide 500 evenly are known as factors of 500. A factor of 500 is a number that divides the number without a remainder. The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. Negative factors of 500: -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, and -500. Prime factors of 500: 2 and 5. Prime factorization of 500: 2² × 5³. The sum of factors of 500: 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 + 125 + 250 + 500 = 1092

How to Find Factors of 500?

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 500. Identifying the numbers which are multiplied to get the number 500 is the multiplication method. Step 1: Multiply 500 by 1, 500 × 1 = 500. Step 2: Check for other numbers that give 500 after multiplying 2 × 250 = 500 4 × 125 = 500 5 × 100 = 500 10 × 50 = 500 20 × 25 = 500 Therefore, the positive factor pairs of 500 are: (1, 500), (2, 250), (4, 125), (5, 100), (10, 50), (20, 25). For every positive factor, there is a negative factor.

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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 500 by 1, 500 ÷ 1 = 500. Step 2: Continue dividing 500 by the numbers until the remainder becomes 0. 500 ÷ 1 = 500 500 ÷ 2 = 250 500 ÷ 4 = 125 500 ÷ 5 = 100 500 ÷ 10 = 50 Therefore, the factors of 500 are: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500.

Prime Factors and Prime Factorization

The factors can be found by dividing them with a prime number. 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 500 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 500 ÷ 2 = 250 250 ÷ 2 = 125 125 ÷ 5 = 25 25 ÷ 5 = 5 5 ÷ 5 = 1 The prime factors of 500 are 2 and 5. The prime factorization of 500 is: 2² × 5³.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 500 is divided by 2 to get 250. Step 2: Now divide 250 by 2 to get 125. Step 3: Then divide 125 by 5 to get 25. Step 4: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 500 is: 2² × 5³. 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 500: (1, 500), (2, 250), (4, 125), (5, 100), (10, 50), (20, 25). Negative factor pairs of 500: (-1, -500), (-2, -250), (-4, -125), (-5, -100), (-10, -50), (-20, -25).

Common Mistakes and How to Avoid Them in Factors of 500

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

There are 5 teams and 500 apples. How will they divide them equally?

Okay, lets begin

They will get 100 apples each.

Explanation

To divide the apples equally, we need to divide the total apples with the number of teams. 500/5 = 100

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Problem 2

A garden is rectangular, the length of the garden is 50 meters and the total area is 500 square meters. Find the width?

Okay, lets begin

10 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width 500 = 50 × width To find the value of width, we need to shift 50 to the left side. 500/50 = width Width = 10.

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Problem 3

There are 25 baskets and 500 oranges. How many oranges will be in each basket?

Okay, lets begin

Each basket will have 20 oranges.

Explanation

To find the oranges in each basket, divide the total oranges with the baskets. 500/25 = 20

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Problem 4

In a school, there are 500 students, and 20 groups. How many students are there in each group?

Okay, lets begin

There are 25 students in each group.

Explanation

Dividing the students with the total groups, we will get the number of students in each group. 500/20 = 25

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Problem 5

500 chairs need to be arranged in 10 rows. How many chairs will go in each row?

Okay, lets begin

Each row will have 50 chairs.

Explanation

Divide total chairs with rows. 500/10 = 50

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FAQs on Factors of 500

1.What are the factors of 500?

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500 are the factors of 500.

2.Mention the prime factors of 500.

The prime factors of 500 are 2² × 5³.

3.Is 500 a multiple of 4?

4.Mention the factor pairs of 500?

(1, 500), (2, 250), (4, 125), (5, 100), (10, 50), (20, 25) are the factor pairs of 500.

5.What is the square of 500?

Important Glossaries for Factor of 500

Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 500. 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 500 are (1, 500), (2, 250), etc. Prime factorization: Expressing a number as a product of its prime factors. For example, 500 = 2² × 5³. Multiple: A product of a number and any integer. For example, 500 is a multiple of 4.

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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.