# Factors of 2025

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, and 2025

#### How to find factors of a number

 1.   Find factors of 2025 using Division Method 2.   Find factors of 2025 using Prime Factorization 3.   Find factors of 2025 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2025

• Divide 2025 by 1: 2025 ÷ 1 : Remainder = 0
• Divide 2025 by 3: 2025 ÷ 3 : Remainder = 0
• Divide 2025 by 5: 2025 ÷ 5 : Remainder = 0
• Divide 2025 by 9: 2025 ÷ 9 : Remainder = 0
• Divide 2025 by 15: 2025 ÷ 15 : Remainder = 0
• Divide 2025 by 25: 2025 ÷ 25 : Remainder = 0
• Divide 2025 by 27: 2025 ÷ 27 : Remainder = 0
• Divide 2025 by 45: 2025 ÷ 45 : Remainder = 0
• Divide 2025 by 75: 2025 ÷ 75 : Remainder = 0
• Divide 2025 by 81: 2025 ÷ 81 : Remainder = 0
• Divide 2025 by 135: 2025 ÷ 135 : Remainder = 0
• Divide 2025 by 225: 2025 ÷ 225 : Remainder = 0
• Divide 2025 by 405: 2025 ÷ 405 : Remainder = 0
• Divide 2025 by 675: 2025 ÷ 675 : Remainder = 0
• Divide 2025 by 2025: 2025 ÷ 2025 : Remainder = 0

Hence, Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, and 2025

#### 2. Steps to find factors of 2025 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 2025 using the division method, follow these steps:

• Step 1. Start dividing 2025 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 2025, which is 3. Divide 2025 by 3 to obtain the quotient (675).
2025 ÷ 3 = 675
• Step 3. Repeat step 1 with the obtained quotient (675).
675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 2025 is, 2025 = 3 x 3 x 3 x 3 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2025 as shown below:

So, the prime factorization of 2025 is, 2025 = 3 x 3 x 3 x 3 x 5 x 5.

#### 3. Find factors of 2025 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 2025 would be the two numbers which, when multiplied, give 2025 as the result.

The following table represents the calculation of factors of 2025 in pairs:

Factor Pair Pair Factorization
1 and 2025 1 x 2025 = 2025
3 and 675 3 x 675 = 2025
5 and 405 5 x 405 = 2025
9 and 225 9 x 225 = 2025
15 and 135 15 x 135 = 2025
25 and 81 25 x 81 = 2025
27 and 75 27 x 75 = 2025
45 and 45 45 x 45 = 2025

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 2025. They are called negative pair factors.

Hence, the negative pairs of 2025 would be ( -1 , -2025 ) , ( -3 , -675 ) , ( -5 , -405 ) , ( -9 , -225 ) , ( -15 , -135 ) , ( -25 , -81 ) , ( -27 , -75 ) and ( -45 , -45 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025 are exact divisors of 2025.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 2025 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2025.

• Which is the smallest prime factor of 2025?

Smallest prime factor of 2025 is 3.

• Is 2025 a perfect square?

Yes 2025 is a perfect square.

• What are five multiples of 2025?

First five multiples of 2025 are 4050, 6075, 8100, 10125, 12150.

• What is prime factorization of 2025?

Prime factorization of 2025 is 3 x 3 x 3 x 3 x 5 x 5.

• What are factors of 2025?

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.

• How do you find factors of a negative number? ( eg. -2025 )?

Factors of -2025 are -1, -3, -5, -9, -15, -25, -27, -45, -75, -81, -135, -225, -405, -675, -2025.

• Is 2025 a whole number?

Yes 2025 is a whole number.

• Which is greatest factor of 2025?

The greatest factor of 2025 is 675.

• What are the prime factors of 2025?

The factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
Prime factors of 2025 are 3, 3, 3, 3, 5, 5.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2025. Can you help her?

Prime factors of 2025 are 3, 3, 3, 3, 5, 5.
Hence, the product of prime factors of 15.

Can you help Rubel to find out the product of the even factors of 2025?

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
Even factors of 2025 are 0.
Hence, product of even factors of 2025 is; 0 = 0.

Joy wants to calculate mean of all the factors of 2025. Help him in finding the mean of 2025.

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2025 is 1 + 3 + 5 + 9 + 15 + 25 + 27 + 45 + 75 + 81 + 135 + 225 + 405 + 675 + 2025 = 3751.
Hence, the mean of factors of 2025 is 3751 ÷ 15 = 250.07.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2025? Help her in writing all the factors.

Positive factors are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
Negative factors are -1, -3, -5, -9, -15, -25, -27, -45, -75, -81, -135, -225, -405, -675, -2025.

How many factors are there for 2025?

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
So there are in total 15 factors.

Joey wants to write all the prime factors of 2025 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2025 are 3, 3, 3, 3, 5, 5.
So in exponential form it can be written as 34 x 52.

Kevin has been asked to write 14 factor(s) of 2025. Can you predict the answer?

14 factor(s) of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675.