# Factors of 2475

Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, and 2475

#### How to find factors of a number

 1.   Find factors of 2475 using Division Method 2.   Find factors of 2475 using Prime Factorization 3.   Find factors of 2475 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2475

• Divide 2475 by 1: 2475 ÷ 1 : Remainder = 0
• Divide 2475 by 3: 2475 ÷ 3 : Remainder = 0
• Divide 2475 by 5: 2475 ÷ 5 : Remainder = 0
• Divide 2475 by 9: 2475 ÷ 9 : Remainder = 0
• Divide 2475 by 11: 2475 ÷ 11 : Remainder = 0
• Divide 2475 by 15: 2475 ÷ 15 : Remainder = 0
• Divide 2475 by 25: 2475 ÷ 25 : Remainder = 0
• Divide 2475 by 33: 2475 ÷ 33 : Remainder = 0
• Divide 2475 by 45: 2475 ÷ 45 : Remainder = 0
• Divide 2475 by 55: 2475 ÷ 55 : Remainder = 0
• Divide 2475 by 75: 2475 ÷ 75 : Remainder = 0
• Divide 2475 by 99: 2475 ÷ 99 : Remainder = 0
• Divide 2475 by 165: 2475 ÷ 165 : Remainder = 0
• Divide 2475 by 225: 2475 ÷ 225 : Remainder = 0
• Divide 2475 by 275: 2475 ÷ 275 : Remainder = 0
• Divide 2475 by 495: 2475 ÷ 495 : Remainder = 0
• Divide 2475 by 825: 2475 ÷ 825 : Remainder = 0
• Divide 2475 by 2475: 2475 ÷ 2475 : Remainder = 0

Hence, Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, and 2475

#### 2. Steps to find factors of 2475 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 2475 using the division method, follow these steps:

• Step 1. Start dividing 2475 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 2475, which is 3. Divide 2475 by 3 to obtain the quotient (825).
2475 ÷ 3 = 825
• Step 3. Repeat step 1 with the obtained quotient (825).
825 ÷ 3 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 2475 is, 2475 = 3 x 3 x 5 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2475 as shown below:

So, the prime factorization of 2475 is, 2475 = 3 x 3 x 5 x 5 x 11.

#### 3. Find factors of 2475 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 2475 would be the two numbers which, when multiplied, give 2475 as the result.

The following table represents the calculation of factors of 2475 in pairs:

Factor Pair Pair Factorization
1 and 2475 1 x 2475 = 2475
3 and 825 3 x 825 = 2475
5 and 495 5 x 495 = 2475
9 and 275 9 x 275 = 2475
11 and 225 11 x 225 = 2475
15 and 165 15 x 165 = 2475
25 and 99 25 x 99 = 2475
33 and 75 33 x 75 = 2475
45 and 55 45 x 55 = 2475

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 2475. They are called negative pair factors.

Hence, the negative pairs of 2475 would be ( -1 , -2475 ) , ( -3 , -825 ) , ( -5 , -495 ) , ( -9 , -275 ) , ( -11 , -225 ) , ( -15 , -165 ) , ( -25 , -99 ) , ( -33 , -75 ) and ( -45 , -55 ) .

#### 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 number is a factor of zero (0), since 2475 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475 are exact divisors of 2475.
• Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. Each factor divides 2475 without leaving a remainder.

• Which is the smallest prime factor of 2475?

Smallest prime factor of 2475 is 3.

• Is 2475 a perfect square?

No 2475 is not a perfect square.

• What are five multiples of 2475?

First five multiples of 2475 are 4950, 7425, 9900, 12375, 14850.

• What is prime factorization of 2475?

Prime factorization of 2475 is 3 x 3 x 5 x 5 x 11.

• What are factors of 2475?

Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475.

• How do you find factors of a negative number? ( eg. -2475 )?

Factors of -2475 are -1, -3, -5, -9, -11, -15, -25, -33, -45, -55, -75, -99, -165, -225, -275, -495, -825, -2475.

• Is 2475 a whole number?

Yes 2475 is a whole number.

• Which is greatest factor of 2475?

The greatest factor of 2475 is 825.

• What are the prime factors of 2475?

The factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475.
Prime factors of 2475 are 3, 3, 5, 5, 11.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2475. Can you help her?

Prime factors of 2475 are 3, 3, 5, 5, 11.
Hence, the product of prime factors of 165.

Can you help Rubel to find out the product of the even factors of 2475?

Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475.
Even factors of 2475 are 0.
Hence, product of even factors of 2475 is; 0 = 0.

Joy wants to calculate mean of all the factors of 2475. Help him in finding the mean of 2475.

Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2475 is 1 + 3 + 5 + 9 + 11 + 15 + 25 + 33 + 45 + 55 + 75 + 99 + 165 + 225 + 275 + 495 + 825 + 2475 = 4836.
Hence, the mean of factors of 2475 is 4836 ÷ 18 = 268.67.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2475? Help her in writing all the factors.

Positive factors are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475.
Negative factors are -1, -3, -5, -9, -11, -15, -25, -33, -45, -55, -75, -99, -165, -225, -275, -495, -825, -2475.

How many factors are there for 2475?

Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475.
So there are in total 18 factors.

Joey wants to write all the prime factors of 2475 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2475 are 3, 3, 5, 5, 11.
So in exponential form it can be written as 32 x 52 x 11.

Kevin has been asked to write 17 factor(s) of 2475. Can you predict the answer?

17 factor(s) of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825.