100 LearnersLast updated on May 26th, 2025
Factors of 2625
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 2625, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2625?
The numbers that divide 2625 evenly are known as factors of 2625.
A factor of 2625 is a number that divides the number without remainder.
The factors of 2625 are 1, 3, 5, 15, 25, 35, 75, 105, 175, 525, 875, and 2625.
Negative factors of 2625: -1, -3, -5, -15, -25, -35, -75, -105, -175, -525, -875, and -2625.
Prime factors of 2625: 3, 5, and 7.
Prime factorization of 2625: \(3^1 \times 5^2 \times 7^1 \times 5^1\).
The sum of factors of 2625: 1 + 3 + 5 + 15 + 25 + 35 + 75 + 105 + 175 + 525 + 875 + 2625 = 4469
How to Find Factors of 2625?
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 2625. Identifying the numbers which are multiplied to get the number 2625 is the multiplication method.
Step 1: Multiply 2625 by 1, 2625 × 1 = 2625.
Step 2: Check for other numbers that give 2625 after multiplying
3 × 875 = 2625
5 × 525 = 2625
15 × 175 = 2625
25 × 105 = 2625
35 × 75 = 2625
Therefore, the positive factor pairs of 2625 are: (1, 2625), (3, 875), (5, 525), (15, 175), (25, 105), (35, 75).
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 2625 by 1, 2625 ÷ 1 = 2625.
Step 2: Continue dividing 2625 by the numbers until the remainder becomes 0.
2625 ÷ 1 = 2625
2625 ÷ 3 = 875
2625 ÷ 5 = 525
2625 ÷ 15 = 175
2625 ÷ 25 = 105
2625 ÷ 35 = 75
Therefore, the factors of 2625 are: 1, 3, 5, 15, 25, 35, 75, 105, 175, 525, 875, 2625.
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 2625 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2625 ÷ 3 = 875
875 ÷ 5 = 175
175 ÷ 5 = 35
35 ÷ 7 = 5
5 ÷ 5 = 1
The prime factors of 2625 are 3, 5, and 7.
The prime factorization of 2625 is: \(3^1 \times 5^2 \times 7^1 \times 5^1\).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2625 is divided by 3 to get 875.
Step 2: Now divide 875 by 5 to get 175.
Step 3: Then divide 175 by 5 to get 35.
Step 4: Divide 35 by 7 to get 5.
Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2625 is: \(3^1 \times 5^2 \times 7^1 \times 5^1\).
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 2625: (1, 2625), (3, 875), (5, 525), (15, 175), (25, 105), and (35, 75).
Negative factor pairs of 2625: (-1, -2625), (-3, -875), (-5, -525), (-15, -175), (-25, -105), and (-35, -75).
Common Mistakes and How to Avoid Them in Factors of 2625
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 word. Always remember to include 1 and the number itself.
For example, in factors of 2625, 1 and 2625 are also factors.
Factors of 2625 Examples
Problem 1
There are 35 students and 2625 candies. How will they divide it equally?
They will get 75 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
2625/35 = 75
Problem 2
A rectangular garden has a length of 25 meters and a total area of 2625 square meters. Find the width?
105 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2625 = 25 × width
To find the value of width, we need to shift 25 to the left side.
2625/25 = width
Width = 105.
Problem 3
There are 15 crates and 2625 apples. How many apples will be in each crate?
Each crate will have 175 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
2625/15 = 175
Problem 4
In a conference, there are 2625 chairs, and 3 sections. How many chairs are there in each section?
There are 875 chairs in each section.
Explanation
Dividing the chairs by the total sections, we will get the number of chairs in each section.
2625/3 = 875
Problem 5
2625 plants need to be planted in 5 rows. How many plants will go in each row?
Each row has 525 plants.
Explanation
Divide total plants by rows.
2625/5 = 525
FAQs on Factors of 2625
1.What are the factors of 2625?
2.Mention the prime factors of 2625.
3.Is 2625 a multiple of 5?
4.Mention the factor pairs of 2625?
5.What is the square of 2625?
6.How can children in Philippines use numbers in everyday life to understand Factors of 2625?
7.What are some fun ways kids in Philippines can practice Factors of 2625 with numbers?
8.What role do numbers and Factors of 2625 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 2625 skills?
Important Glossaries for Factor of 2625
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2625 are 1, 3, 5, 15, etc.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 7 are prime factors of 2625.
- 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 2625 are (1, 2625), (3, 875), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 2625 is \(3^1 \times 5^2 \times 7^1 \times 5^1\).
- Multiples: Numbers obtained by multiplying the original number by whole numbers. For example, 2625 is a multiple of 5.
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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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