Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, and 8100

How to find factors of a number

1. Steps to find factors of 8100 using Division Method

Example: Find factors of 8100

  • Divide 8100 by 1: 8100 ÷ 1 : Remainder = 0
  • Divide 8100 by 2: 8100 ÷ 2 : Remainder = 0
  • Divide 8100 by 3: 8100 ÷ 3 : Remainder = 0
  • Divide 8100 by 4: 8100 ÷ 4 : Remainder = 0
  • Divide 8100 by 5: 8100 ÷ 5 : Remainder = 0
  • Divide 8100 by 6: 8100 ÷ 6 : Remainder = 0
  • Divide 8100 by 9: 8100 ÷ 9 : Remainder = 0
  • Divide 8100 by 10: 8100 ÷ 10 : Remainder = 0
  • Divide 8100 by 12: 8100 ÷ 12 : Remainder = 0
  • Divide 8100 by 15: 8100 ÷ 15 : Remainder = 0
  • Divide 8100 by 18: 8100 ÷ 18 : Remainder = 0
  • Divide 8100 by 20: 8100 ÷ 20 : Remainder = 0
  • Divide 8100 by 25: 8100 ÷ 25 : Remainder = 0
  • Divide 8100 by 27: 8100 ÷ 27 : Remainder = 0
  • Divide 8100 by 30: 8100 ÷ 30 : Remainder = 0
  • Divide 8100 by 36: 8100 ÷ 36 : Remainder = 0
  • Divide 8100 by 45: 8100 ÷ 45 : Remainder = 0
  • Divide 8100 by 50: 8100 ÷ 50 : Remainder = 0
  • Divide 8100 by 54: 8100 ÷ 54 : Remainder = 0
  • Divide 8100 by 60: 8100 ÷ 60 : Remainder = 0
  • Divide 8100 by 75: 8100 ÷ 75 : Remainder = 0
  • Divide 8100 by 81: 8100 ÷ 81 : Remainder = 0
  • Divide 8100 by 90: 8100 ÷ 90 : Remainder = 0
  • Divide 8100 by 100: 8100 ÷ 100 : Remainder = 0
  • Divide 8100 by 108: 8100 ÷ 108 : Remainder = 0
  • Divide 8100 by 135: 8100 ÷ 135 : Remainder = 0
  • Divide 8100 by 150: 8100 ÷ 150 : Remainder = 0
  • Divide 8100 by 162: 8100 ÷ 162 : Remainder = 0
  • Divide 8100 by 180: 8100 ÷ 180 : Remainder = 0
  • Divide 8100 by 225: 8100 ÷ 225 : Remainder = 0
  • Divide 8100 by 270: 8100 ÷ 270 : Remainder = 0
  • Divide 8100 by 300: 8100 ÷ 300 : Remainder = 0
  • Divide 8100 by 324: 8100 ÷ 324 : Remainder = 0
  • Divide 8100 by 405: 8100 ÷ 405 : Remainder = 0
  • Divide 8100 by 450: 8100 ÷ 450 : Remainder = 0
  • Divide 8100 by 540: 8100 ÷ 540 : Remainder = 0
  • Divide 8100 by 675: 8100 ÷ 675 : Remainder = 0
  • Divide 8100 by 810: 8100 ÷ 810 : Remainder = 0
  • Divide 8100 by 900: 8100 ÷ 900 : Remainder = 0
  • Divide 8100 by 1350: 8100 ÷ 1350 : Remainder = 0
  • Divide 8100 by 1620: 8100 ÷ 1620 : Remainder = 0
  • Divide 8100 by 2025: 8100 ÷ 2025 : Remainder = 0
  • Divide 8100 by 2700: 8100 ÷ 2700 : Remainder = 0
  • Divide 8100 by 4050: 8100 ÷ 4050 : Remainder = 0
  • Divide 8100 by 8100: 8100 ÷ 8100 : Remainder = 0

Hence, Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, and 8100

2. Steps to find factors of 8100 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 8100 using the division method, follow these steps:

  • Step 1. Start dividing 8100 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 8100, which is 2. Divide 8100 by 2 to obtain the quotient (4050).
    8100 ÷ 2 = 4050
  • Step 3. Repeat step 1 with the obtained quotient (4050).
    4050 ÷ 2 = 2025
    2025 ÷ 3 = 675
    675 ÷ 3 = 225
    225 ÷ 3 = 75
    75 ÷ 3 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 8100 is, 8100 = 2 x 2 x 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 8100 as shown below:

So, the prime factorization of 8100 is, 8100 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5.

3. Find factors of 8100 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 8100 would be the two numbers which, when multiplied, give 8100 as the result.

The following table represents the calculation of factors of 8100 in pairs:

Factor Pair Pair Factorization
1 and 8100 1 x 8100 = 8100
2 and 4050 2 x 4050 = 8100
3 and 2700 3 x 2700 = 8100
4 and 2025 4 x 2025 = 8100
5 and 1620 5 x 1620 = 8100
6 and 1350 6 x 1350 = 8100
9 and 900 9 x 900 = 8100
10 and 810 10 x 810 = 8100
12 and 675 12 x 675 = 8100
15 and 540 15 x 540 = 8100
18 and 450 18 x 450 = 8100
20 and 405 20 x 405 = 8100
25 and 324 25 x 324 = 8100
27 and 300 27 x 300 = 8100
30 and 270 30 x 270 = 8100
36 and 225 36 x 225 = 8100
45 and 180 45 x 180 = 8100
50 and 162 50 x 162 = 8100
54 and 150 54 x 150 = 8100
60 and 135 60 x 135 = 8100
75 and 108 75 x 108 = 8100
81 and 100 81 x 100 = 8100
90 and 90 90 x 90 = 8100

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 8100. They are called negative pair factors.

Hence, the negative pairs of 8100 would be ( -1 , -8100 ) , ( -2 , -4050 ) , ( -3 , -2700 ) , ( -4 , -2025 ) , ( -5 , -1620 ) , ( -6 , -1350 ) , ( -9 , -900 ) , ( -10 , -810 ) , ( -12 , -675 ) , ( -15 , -540 ) , ( -18 , -450 ) , ( -20 , -405 ) , ( -25 , -324 ) , ( -27 , -300 ) , ( -30 , -270 ) , ( -36 , -225 ) , ( -45 , -180 ) , ( -50 , -162 ) , ( -54 , -150 ) , ( -60 , -135 ) , ( -75 , -108 ) , ( -81 , -100 ) and ( -90 , -90 ) .

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

  • Each number is a factor of itself. Eg. 8100 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 8100.
  • Every number is a factor of zero (0), since 8100 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, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100 are exact divisors of 8100.
  • Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100. Each factor divides 8100 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100 are all less than or equal to 8100.

Frequently Asked Questions

  • Which is the smallest prime factor of 8100?

    Smallest prime factor of 8100 is 2.

  • Is 8100 a perfect square?

    Yes 8100 is a perfect square.

  • What are five multiples of 8100?

    First five multiples of 8100 are 16200, 24300, 32400, 40500, 48600.

  • What is prime factorization of 8100?

    Prime factorization of 8100 is 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5.

  • What are factors of 8100?

    Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100.

  • How do you find factors of a negative number? ( eg. -8100 )?

    Factors of -8100 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -27, -30, -36, -45, -50, -54, -60, -75, -81, -90, -100, -108, -135, -150, -162, -180, -225, -270, -300, -324, -405, -450, -540, -675, -810, -900, -1350, -1620, -2025, -2700, -4050, -8100.

  • Is 8100 a whole number?

    Yes 8100 is a whole number.

  • Which is greatest factor of 8100?

    The greatest factor of 8100 is 4050.

  • What are the prime factors of 8100?

    The factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100.
    Prime factors of 8100 are 2, 2, 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 8100. Can you help her?

Prime factors of 8100 are 2, 2, 3, 3, 3, 3, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 8100?

Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100.
Even factors of 8100 are 2, 4, 6, 10, 12, 18, 20, 30, 36, 50, 54, 60, 90, 100, 108, 150, 162, 180, 270, 300, 324, 450, 540, 810, 900, 1350, 1620, 2700, 4050, 8100.
Hence, product of even factors of 8100 is; 2 x 4 x 6 x 10 x 12 x 18 x 20 x 30 x 36 x 50 x 54 x 60 x 90 x 100 x 108 x 150 x 162 x 180 x 270 x 300 x 324 x 450 x 540 x 810 x 900 x 1350 x 1620 x 2700 x 4050 x 8100 = 1.3890734743622845e+63.

Joy wants to calculate mean of all the factors of 8100. Help him in finding the mean of 8100.

Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 8100 is 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 81 + 90 + 100 + 108 + 135 + 150 + 162 + 180 + 225 + 270 + 300 + 324 + 405 + 450 + 540 + 675 + 810 + 900 + 1350 + 1620 + 2025 + 2700 + 4050 + 8100 = 26257.
Hence, the mean of factors of 8100 is 26257 ÷ 45 = 583.49.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 8100? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100.
Negative factors are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -27, -30, -36, -45, -50, -54, -60, -75, -81, -90, -100, -108, -135, -150, -162, -180, -225, -270, -300, -324, -405, -450, -540, -675, -810, -900, -1350, -1620, -2025, -2700, -4050, -8100.

How many factors are there for 8100?

Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100.
So there are in total 45 factors.

Joey wants to write all the prime factors of 8100 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 8100 are 2, 2, 3, 3, 3, 3, 5, 5.
So in exponential form it can be written as 22 x 34 x 52.

Kevin has been asked to write 44 factor(s) of 8100. Can you predict the answer?

44 factor(s) of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050.