100 LearnersLast updated on May 26th, 2025
Factors of 1825
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 1825, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1825?
The numbers that divide 1825 evenly are known as factors of 1825.
A factor of 1825 is a number that divides the number without remainder.
The factors of 1825 are 1, 5, 25, 73, 365, and 1825.
Negative factors of 1825: -1, -5, -25, -73, -365, and -1825.
Prime factors of 1825: 5 and 73.
Prime factorization of 1825: 5 × 365 = 5 × 5 × 73 = 5² × 73.
The sum of factors of 1825: 1 + 5 + 25 + 73 + 365 + 1825 = 2294
How to Find Factors of 1825?
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 1825. Identifying the numbers which are multiplied to get the number 1825 is the multiplication method.
Step 1: Multiply 1825 by 1, 1825 × 1 = 1825.
Step 2: Check for other numbers that give 1825 after multiplying
5 × 365 = 1825
25 × 73 = 1825
Therefore, the positive factor pairs of 1825 are: (1, 1825), (5, 365), and (25, 73).
All these factor pairs result in 1825.
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 the simple division method -
Step 1: Divide 1825 by 1, 1825 ÷ 1 = 1825.
Step 2: Continue dividing 1825 by the numbers until the remainder becomes 0.
1825 ÷ 1 = 1825
1825 ÷ 5 = 365
1825 ÷ 25 = 73
Therefore, the factors of 1825 are: 1, 5, 25, 73, 365, 1825.
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 1825 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1825 ÷ 5 = 365
365 ÷ 5 = 73
73 ÷ 73 = 1
The prime factors of 1825 are 5 and 73.
The prime factorization of 1825 is: 5² × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1825 is divided by 5 to get 365.
Step 2: Now divide 365 by 5 to get 73.
Step 3: Here, 73 is a prime number and cannot be divided further.
So, the prime factorization of 1825 is: 5² × 73.
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 1825: (1, 1825), (5, 365), (25, 73).
Negative factor pairs of 1825: (-1, -1825), (-5, -365), (-25, -73).
Common Mistakes and How to Avoid Them in Factors of 1825
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 1825, 1 and 1825 are also factors.
Factors of 1825 Examples
Problem 1
A total of 365 people are attending a music concert, and 1825 chairs are available. How many chairs will each person get if they're evenly distributed?
Each person will get 5 chairs.
Explanation
To distribute the chairs equally, divide the total chairs by the number of people.
1825/365 = 5
Problem 2
A rectangular garden has a length of 25 meters and a total area of 1825 square meters. Find the width.
73 meters.
Explanation
To find the width of the garden, use the formula,
Area = length × width
1825 = 25 × width
To find the value of width, divide 1825 by 25.
1825/25 = width
Width = 73.
Problem 3
A shipment contains 73 boxes and 1825 items. How many items are there in each box?
Each box will have 25 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1825/73 = 25
Problem 4
In a community event, there are 5 teams and 1825 participants. How many participants are there in each team?
There are 365 participants in each team.
Explanation
Dividing the participants by the total teams, we get the number of participants in each team.
1825/5 = 365
Problem 5
1825 flowers need to be arranged in 5 vases. How many flowers will go in each vase?
Each of the vases will have 365 flowers.
Explanation
Divide the total flowers by the number of vases.
1825/5 = 365
FAQs on Factors of 1825
1.What are the factors of 1825?
2.Mention the prime factors of 1825.
3.Is 1825 a multiple of 73?
4.Mention the factor pairs of 1825?
5.What is the square of 1825?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1825?
7.What are some fun ways kids in Thailand can practice Factors of 1825 with numbers?
8.What role do numbers and Factors of 1825 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1825 skills?
Important Glossaries for Factors of 1825
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1825 are 1, 5, 25, 73, 365, and 1825.
- Prime factors: The factors which are prime numbers. For example, 5 and 73 are prime factors of 1825.
- 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 1825 are (1, 1825), (5, 365), (25, 73).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number.
- Division method: A technique to find factors by dividing the original number by whole numbers until there is no remainder.
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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
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