Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, and 11025

How to find factors of a number

1. Steps to find factors of 11025 using Division Method

Example: Find factors of 11025

  • Divide 11025 by 1: 11025 ÷ 1 : Remainder = 0
  • Divide 11025 by 3: 11025 ÷ 3 : Remainder = 0
  • Divide 11025 by 5: 11025 ÷ 5 : Remainder = 0
  • Divide 11025 by 7: 11025 ÷ 7 : Remainder = 0
  • Divide 11025 by 9: 11025 ÷ 9 : Remainder = 0
  • Divide 11025 by 15: 11025 ÷ 15 : Remainder = 0
  • Divide 11025 by 21: 11025 ÷ 21 : Remainder = 0
  • Divide 11025 by 25: 11025 ÷ 25 : Remainder = 0
  • Divide 11025 by 35: 11025 ÷ 35 : Remainder = 0
  • Divide 11025 by 45: 11025 ÷ 45 : Remainder = 0
  • Divide 11025 by 49: 11025 ÷ 49 : Remainder = 0
  • Divide 11025 by 63: 11025 ÷ 63 : Remainder = 0
  • Divide 11025 by 75: 11025 ÷ 75 : Remainder = 0
  • Divide 11025 by 105: 11025 ÷ 105 : Remainder = 0
  • Divide 11025 by 147: 11025 ÷ 147 : Remainder = 0
  • Divide 11025 by 175: 11025 ÷ 175 : Remainder = 0
  • Divide 11025 by 225: 11025 ÷ 225 : Remainder = 0
  • Divide 11025 by 245: 11025 ÷ 245 : Remainder = 0
  • Divide 11025 by 315: 11025 ÷ 315 : Remainder = 0
  • Divide 11025 by 441: 11025 ÷ 441 : Remainder = 0
  • Divide 11025 by 525: 11025 ÷ 525 : Remainder = 0
  • Divide 11025 by 735: 11025 ÷ 735 : Remainder = 0
  • Divide 11025 by 1225: 11025 ÷ 1225 : Remainder = 0
  • Divide 11025 by 1575: 11025 ÷ 1575 : Remainder = 0
  • Divide 11025 by 2205: 11025 ÷ 2205 : Remainder = 0
  • Divide 11025 by 3675: 11025 ÷ 3675 : Remainder = 0
  • Divide 11025 by 11025: 11025 ÷ 11025 : Remainder = 0

Hence, Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, and 11025

2. Steps to find factors of 11025 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 11025 using the division method, follow these steps:

  • Step 1. Start dividing 11025 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 11025, which is 3. Divide 11025 by 3 to obtain the quotient (3675).
    11025 ÷ 3 = 3675
  • Step 3. Repeat step 1 with the obtained quotient (3675).
    3675 ÷ 3 = 1225
    1225 ÷ 5 = 245
    245 ÷ 5 = 49
    49 ÷ 7 = 7
    7 ÷ 7 = 1

So, the prime factorization of 11025 is, 11025 = 3 x 3 x 5 x 5 x 7 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 11025 as shown below:

So, the prime factorization of 11025 is, 11025 = 3 x 3 x 5 x 5 x 7 x 7.

3. Find factors of 11025 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 11025 would be the two numbers which, when multiplied, give 11025 as the result.

The following table represents the calculation of factors of 11025 in pairs:

Factor Pair Pair Factorization
1 and 11025 1 x 11025 = 11025
3 and 3675 3 x 3675 = 11025
5 and 2205 5 x 2205 = 11025
7 and 1575 7 x 1575 = 11025
9 and 1225 9 x 1225 = 11025
15 and 735 15 x 735 = 11025
21 and 525 21 x 525 = 11025
25 and 441 25 x 441 = 11025
35 and 315 35 x 315 = 11025
45 and 245 45 x 245 = 11025
49 and 225 49 x 225 = 11025
63 and 175 63 x 175 = 11025
75 and 147 75 x 147 = 11025
105 and 105 105 x 105 = 11025

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 11025. They are called negative pair factors.

Hence, the negative pairs of 11025 would be ( -1 , -11025 ) , ( -3 , -3675 ) , ( -5 , -2205 ) , ( -7 , -1575 ) , ( -9 , -1225 ) , ( -15 , -735 ) , ( -21 , -525 ) , ( -25 , -441 ) , ( -35 , -315 ) , ( -45 , -245 ) , ( -49 , -225 ) , ( -63 , -175 ) , ( -75 , -147 ) and ( -105 , -105 ) .

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, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025 are exact divisors of 11025.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 11025 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 11025.

Frequently Asked Questions

  • Which is the smallest prime factor of 11025?

    Smallest prime factor of 11025 is 3.

  • Is 11025 a perfect square?

    Yes 11025 is a perfect square.

  • What are five multiples of 11025?

    First five multiples of 11025 are 22050, 33075, 44100, 55125, 66150.

  • What is prime factorization of 11025?

    Prime factorization of 11025 is 3 x 3 x 5 x 5 x 7 x 7.

  • What are factors of 11025?

    Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025.

  • How do you find factors of a negative number? ( eg. -11025 )?

    Factors of -11025 are -1, -3, -5, -7, -9, -15, -21, -25, -35, -45, -49, -63, -75, -105, -147, -175, -225, -245, -315, -441, -525, -735, -1225, -1575, -2205, -3675, -11025.

  • Is 11025 a whole number?

    Yes 11025 is a whole number.

  • Which is greatest factor of 11025?

    The greatest factor of 11025 is 3675.

  • What are the prime factors of 11025?

    The factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025.
    Prime factors of 11025 are 3, 3, 5, 5, 7, 7.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 11025. Can you help her?

Prime factors of 11025 are 3, 3, 5, 5, 7, 7.
Hence, the product of prime factors of 105.

Can you help Rubel to find out the product of the even factors of 11025?

Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025.
Even factors of 11025 are 0.
Hence, product of even factors of 11025 is; 0 = 0.

Joy wants to calculate mean of all the factors of 11025. Help him in finding the mean of 11025.

Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 11025 is 1 + 3 + 5 + 7 + 9 + 15 + 21 + 25 + 35 + 45 + 49 + 63 + 75 + 105 + 147 + 175 + 225 + 245 + 315 + 441 + 525 + 735 + 1225 + 1575 + 2205 + 3675 + 11025 = 22971.
Hence, the mean of factors of 11025 is 22971 ÷ 27 = 850.78.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 11025? Help her in writing all the factors.

Positive factors are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025.
Negative factors are -1, -3, -5, -7, -9, -15, -21, -25, -35, -45, -49, -63, -75, -105, -147, -175, -225, -245, -315, -441, -525, -735, -1225, -1575, -2205, -3675, -11025.

How many factors are there for 11025?

Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025.
So there are in total 27 factors.

Joey wants to write all the prime factors of 11025 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 11025 are 3, 3, 5, 5, 7, 7.
So in exponential form it can be written as 32 x 52 x 72.

Kevin has been asked to write 26 factor(s) of 11025. Can you predict the answer?

26 factor(s) of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675.