Factors of 225 | Positive, Negative Factors & Prime Factorization
The number 225 is a composite number because it has more than two factors. To understand number properties better, explore our Math section and detailed lessons on Factors.
-
What factors are
-
How to calculate the factors of 225
-
Positive and negative factors of 225
-
Factor pairs of 225
-
Prime factorization and factor tree of 225
What Is a Factor?
A factor is a number that divides another number exactly, without leaving a remainder.
If a number divides evenly, it is called a factor.
Key Takeaways
| Fact | Description |
|---|---|
| Type of Number | Composite |
| Positive Factors | 9 |
| Negative Factors | 9 |
| Prime Factors | 3 and 5 |
| Prime Factorization | 3 × 3 × 5 × 5 |
How to Calculate the Factors of 225
To find the factors of 225, divide 225 by whole numbers and check which divisions give whole-number answers.
Division Method
| Division | Result |
|---|---|
| 225 ÷ 1 | 225 |
| 225 ÷ 3 | 75 |
| 225 ÷ 5 | 45 |
| 225 ÷ 9 | 25 |
| 225 ÷ 15 | 15 |
| 225 ÷ 25 | 9 |
| 225 ÷ 45 | 5 |
| 225 ÷ 75 | 3 |
| 225 ÷ 225 | 1 |
Positive Factors of 225
The positive factors of 225 are the numbers greater than zero that divide 225 exactly.
| Positive Factors |
|---|
| 1 |
| 3 |
| 5 |
| 9 |
| 15 |
| 25 |
| 45 |
| 75 |
| 225 |
Negative Factors of 225
Each positive factor has a corresponding negative factor.
| Negative Factors |
|---|
| –1 |
| –3 |
| –5 |
| –9 |
| –15 |
| –25 |
| –45 |
| –75 |
| –225 |
Factor Pairs of 225
Factor pairs are two numbers that multiply together to give 225.
Positive Factor Pairs
| Factor 1 | Factor 2 | Product |
|---|---|---|
| 1 | 225 | 225 |
| 3 | 75 | 225 |
| 5 | 45 | 225 |
| 9 | 25 | 225 |
| 15 | 15 | 225 |
Negative Factor Pairs
| Factor 1 | Factor 2 | Product |
|---|---|---|
| –1 | –225 | 225 |
| –3 | –75 | 225 |
| –5 | –45 | 225 |
| –9 | –25 | 225 |
| –15 | –15 | 225 |
Prime Factorization of 225
Prime factorization breaks a number into prime numbers only.
Step-by-Step Prime Factorization
| Step | Division | Result |
|---|---|---|
| 1 | 225 ÷ 3 | 75 |
| 2 | 75 ÷ 3 | 25 |
| 3 | 25 ÷ 5 | 5 |
So,
Factor Tree of 225
A factor tree visually shows how a number breaks down into its prime factors.
Factor Tree Explanation
| Process |
|---|
| 225 ÷ 3 = 75 |
| 75 ÷ 3 = 25 |
| 25 ÷ 5 = 5 |
Final result:
Is 225 a Prime Number?
No, 225 is not a prime number because it has more than two factors.
It is a composite number.
❓ Frequently Asked Questions (FAQs) – Factors of 225
❓ What are the factors of 225?
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, and 225.
❓ How many factors does 225 have?
The number 225 has 9 positive factors and 9 negative factors.
❓ What are the positive factors of 225?
The positive factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, and 225.
❓ What are the negative factors of 225?
The negative factors of 225 are –1, –3, –5, –9, –15, –25, –45, –75, and –225.
❓ What are the factor pairs of 225?
The factor pairs of 225 are:
-
(1, 225)
-
(3, 75)
-
(5, 45)
-
(9, 25)
-
(15, 15)
and their corresponding negative pairs.
❓ What is the prime factorization of 225?
The prime factorization of 225 is 3 × 3 × 5 × 5.
❓ Is 225 a prime number?
No, 225 is not a prime number. It is a composite number because it has more than two factors.
Comments
Post a Comment