102 LearnersLast updated on May 26th, 2025
Factors of 250
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 250, how they are used in real life, and tips to learn them quickly.
What are the Factors of 250?
The numbers that divide 250 evenly are known as factors of 250. A factor of 250 is a number that divides the number without remainder.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, and 250.
Negative factors of 250 are: -1, -2, -5, -10, -25, -50, -125, and -250.
Prime factors of 250: 2 and 5.
Prime factorization of 250: 2 × 53.
The sum of factors of 250: 1 + 2 + 5 + 10 + 25 + 50 + 125 + 250 = 468
How to Find Factors of 250?
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 250.
Identifying the numbers which are multiplied to get the number 250 is the multiplication method.
Step 1: Multiply 250 by 1, 250 × 1 = 250.
Step 2: Check for other numbers that give 250 after multiplying
2 × 125 = 250
5 × 50 = 250
10 × 25 = 250
Therefore, the positive factor pairs of 250 are: (1, 250), (2, 125), (5, 50), (10, 25).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 the simple division method -
Step 1: Divide 250 by 1, 250 ÷ 1 = 250.
Step 2: Continue dividing 250 by the numbers until the remainder becomes 0.
250 ÷ 1 = 250
250 ÷ 2 = 125
250 ÷ 5 = 50
250 ÷ 10 = 25
Therefore, the factors of 250 are: 1, 2, 5, 10, 25, 50, 125, 250.
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 250 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 250 are 2 and 5.
The prime factorization of 250 is: 2 × 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, 250 is divided by 2 to get 125.
Step 2: Now divide 125 by 5 to get 25.
Step 3: Then divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 250 is: 2 × 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 250: (1, 250), (2, 125), (5, 50), (10, 25).
Negative factor pairs of 250: (-1, -250), (-2, -125), (-5, -50), (-10, -25).
Common Mistakes and How to Avoid Them in Factors of 250
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 250, 1 and 250 are also factors.
Factors of 250 Examples
Problem 1
There are 5 teachers and 250 pencils. How will they distribute them equally?
They will get 50 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of teachers.
250/5 = 50
Problem 2
A rectangular plot has a length of 25 meters and a total area of 250 square meters. Find the width.
10 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width
250 = 25 × width
To find the value of width, divide 250 by 25.
250/25 = width
Width = 10.
Problem 3
There are 10 crates and 250 apples. How many apples will be in each crate?
Each crate will have 25 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
250/10 = 25
Problem 4
In a theater, there are 250 seats, and 10 rows. How many seats are there in each row?
There are 25 seats in each row.
Explanation
Dividing the total seats by the number of rows gives the number of seats per row.
250/10 = 25
Problem 5
250 participants need to be divided into 25 groups. How many participants will be in each group?
Each group will have 10 participants.
Explanation
Divide total participants by the number of groups.
250/25 = 10
FAQs on Factors of 250
1.What are the factors of 250?
2.Mention the prime factors of 250.
3.Is 250 a multiple of 5?
4.Mention the factor pairs of 250?
5.What is the square of 250?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 250?
7.What are some fun ways kids in Bahrain can practice Factors of 250 with numbers?
8.What role do numbers and Factors of 250 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 250 skills?
Important Glossaries for Factors of 250
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 250 are 1, 2, 5, 10, 25, 50, 125, and 250.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 250.
- 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 250 are (1, 250), (2, 125), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 250 is 2 × 53.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 250 is a multiple of 5.
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About BrightChamps in Bahrain
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.
