Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, and 18000

How to find factors of a number

1. Steps to find factors of 18000 using Division Method

Example: Find factors of 18000

  • Divide 18000 by 1: 18000 ÷ 1 : Remainder = 0
  • Divide 18000 by 2: 18000 ÷ 2 : Remainder = 0
  • Divide 18000 by 3: 18000 ÷ 3 : Remainder = 0
  • Divide 18000 by 4: 18000 ÷ 4 : Remainder = 0
  • Divide 18000 by 5: 18000 ÷ 5 : Remainder = 0
  • Divide 18000 by 6: 18000 ÷ 6 : Remainder = 0
  • Divide 18000 by 8: 18000 ÷ 8 : Remainder = 0
  • Divide 18000 by 9: 18000 ÷ 9 : Remainder = 0
  • Divide 18000 by 10: 18000 ÷ 10 : Remainder = 0
  • Divide 18000 by 12: 18000 ÷ 12 : Remainder = 0
  • Divide 18000 by 15: 18000 ÷ 15 : Remainder = 0
  • Divide 18000 by 16: 18000 ÷ 16 : Remainder = 0
  • Divide 18000 by 18: 18000 ÷ 18 : Remainder = 0
  • Divide 18000 by 20: 18000 ÷ 20 : Remainder = 0
  • Divide 18000 by 24: 18000 ÷ 24 : Remainder = 0
  • Divide 18000 by 25: 18000 ÷ 25 : Remainder = 0
  • Divide 18000 by 30: 18000 ÷ 30 : Remainder = 0
  • Divide 18000 by 36: 18000 ÷ 36 : Remainder = 0
  • Divide 18000 by 40: 18000 ÷ 40 : Remainder = 0
  • Divide 18000 by 45: 18000 ÷ 45 : Remainder = 0
  • Divide 18000 by 48: 18000 ÷ 48 : Remainder = 0
  • Divide 18000 by 50: 18000 ÷ 50 : Remainder = 0
  • Divide 18000 by 60: 18000 ÷ 60 : Remainder = 0
  • Divide 18000 by 72: 18000 ÷ 72 : Remainder = 0
  • Divide 18000 by 75: 18000 ÷ 75 : Remainder = 0
  • Divide 18000 by 80: 18000 ÷ 80 : Remainder = 0
  • Divide 18000 by 90: 18000 ÷ 90 : Remainder = 0
  • Divide 18000 by 100: 18000 ÷ 100 : Remainder = 0
  • Divide 18000 by 120: 18000 ÷ 120 : Remainder = 0
  • Divide 18000 by 125: 18000 ÷ 125 : Remainder = 0
  • Divide 18000 by 144: 18000 ÷ 144 : Remainder = 0
  • Divide 18000 by 150: 18000 ÷ 150 : Remainder = 0
  • Divide 18000 by 180: 18000 ÷ 180 : Remainder = 0
  • Divide 18000 by 200: 18000 ÷ 200 : Remainder = 0
  • Divide 18000 by 225: 18000 ÷ 225 : Remainder = 0
  • Divide 18000 by 240: 18000 ÷ 240 : Remainder = 0
  • Divide 18000 by 250: 18000 ÷ 250 : Remainder = 0
  • Divide 18000 by 300: 18000 ÷ 300 : Remainder = 0
  • Divide 18000 by 360: 18000 ÷ 360 : Remainder = 0
  • Divide 18000 by 375: 18000 ÷ 375 : Remainder = 0
  • Divide 18000 by 400: 18000 ÷ 400 : Remainder = 0
  • Divide 18000 by 450: 18000 ÷ 450 : Remainder = 0
  • Divide 18000 by 500: 18000 ÷ 500 : Remainder = 0
  • Divide 18000 by 600: 18000 ÷ 600 : Remainder = 0
  • Divide 18000 by 720: 18000 ÷ 720 : Remainder = 0
  • Divide 18000 by 750: 18000 ÷ 750 : Remainder = 0
  • Divide 18000 by 900: 18000 ÷ 900 : Remainder = 0
  • Divide 18000 by 1000: 18000 ÷ 1000 : Remainder = 0
  • Divide 18000 by 1125: 18000 ÷ 1125 : Remainder = 0
  • Divide 18000 by 1200: 18000 ÷ 1200 : Remainder = 0
  • Divide 18000 by 1500: 18000 ÷ 1500 : Remainder = 0
  • Divide 18000 by 1800: 18000 ÷ 1800 : Remainder = 0
  • Divide 18000 by 2000: 18000 ÷ 2000 : Remainder = 0
  • Divide 18000 by 2250: 18000 ÷ 2250 : Remainder = 0
  • Divide 18000 by 3000: 18000 ÷ 3000 : Remainder = 0
  • Divide 18000 by 3600: 18000 ÷ 3600 : Remainder = 0
  • Divide 18000 by 4500: 18000 ÷ 4500 : Remainder = 0
  • Divide 18000 by 6000: 18000 ÷ 6000 : Remainder = 0
  • Divide 18000 by 9000: 18000 ÷ 9000 : Remainder = 0
  • Divide 18000 by 18000: 18000 ÷ 18000 : Remainder = 0

Hence, Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, and 18000

2. Steps to find factors of 18000 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 18000 using the division method, follow these steps:

  • Step 1. Start dividing 18000 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 18000, which is 2. Divide 18000 by 2 to obtain the quotient (9000).
    18000 ÷ 2 = 9000
  • Step 3. Repeat step 1 with the obtained quotient (9000).
    9000 ÷ 2 = 4500
    4500 ÷ 2 = 2250
    2250 ÷ 2 = 1125
    1125 ÷ 3 = 375
    375 ÷ 3 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 18000 is, 18000 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 18000 as shown below:

So, the prime factorization of 18000 is, 18000 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5.

3. Find factors of 18000 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 18000 would be the two numbers which, when multiplied, give 18000 as the result.

The following table represents the calculation of factors of 18000 in pairs:

Factor Pair Pair Factorization
1 and 18000 1 x 18000 = 18000
2 and 9000 2 x 9000 = 18000
3 and 6000 3 x 6000 = 18000
4 and 4500 4 x 4500 = 18000
5 and 3600 5 x 3600 = 18000
6 and 3000 6 x 3000 = 18000
8 and 2250 8 x 2250 = 18000
9 and 2000 9 x 2000 = 18000
10 and 1800 10 x 1800 = 18000
12 and 1500 12 x 1500 = 18000
15 and 1200 15 x 1200 = 18000
16 and 1125 16 x 1125 = 18000
18 and 1000 18 x 1000 = 18000
20 and 900 20 x 900 = 18000
24 and 750 24 x 750 = 18000
25 and 720 25 x 720 = 18000
30 and 600 30 x 600 = 18000
36 and 500 36 x 500 = 18000
40 and 450 40 x 450 = 18000
45 and 400 45 x 400 = 18000
48 and 375 48 x 375 = 18000
50 and 360 50 x 360 = 18000
60 and 300 60 x 300 = 18000
72 and 250 72 x 250 = 18000
75 and 240 75 x 240 = 18000
80 and 225 80 x 225 = 18000
90 and 200 90 x 200 = 18000
100 and 180 100 x 180 = 18000
120 and 150 120 x 150 = 18000
125 and 144 125 x 144 = 18000

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 18000. They are called negative pair factors.

Hence, the negative pairs of 18000 would be ( -1 , -18000 ) , ( -2 , -9000 ) , ( -3 , -6000 ) , ( -4 , -4500 ) , ( -5 , -3600 ) , ( -6 , -3000 ) , ( -8 , -2250 ) , ( -9 , -2000 ) , ( -10 , -1800 ) , ( -12 , -1500 ) , ( -15 , -1200 ) , ( -16 , -1125 ) , ( -18 , -1000 ) , ( -20 , -900 ) , ( -24 , -750 ) , ( -25 , -720 ) , ( -30 , -600 ) , ( -36 , -500 ) , ( -40 , -450 ) , ( -45 , -400 ) , ( -48 , -375 ) , ( -50 , -360 ) , ( -60 , -300 ) , ( -72 , -250 ) , ( -75 , -240 ) , ( -80 , -225 ) , ( -90 , -200 ) , ( -100 , -180 ) , ( -120 , -150 ) and ( -125 , -144 ) .

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. 18000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 18000.
  • Every number is a factor of zero (0), since 18000 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, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000 are exact divisors of 18000.
  • Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000. Each factor divides 18000 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000 are all less than or equal to 18000.

Frequently Asked Questions

  • Which is the smallest prime factor of 18000?

    Smallest prime factor of 18000 is 2.

  • Is 18000 a perfect square?

    No 18000 is not a perfect square.

  • What are five multiples of 18000?

    First five multiples of 18000 are 36000, 54000, 72000, 90000, 108000.

  • What is prime factorization of 18000?

    Prime factorization of 18000 is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5.

  • What are factors of 18000?

    Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.

  • How do you find factors of a negative number? ( eg. -18000 )?

    Factors of -18000 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -25, -30, -36, -40, -45, -48, -50, -60, -72, -75, -80, -90, -100, -120, -125, -144, -150, -180, -200, -225, -240, -250, -300, -360, -375, -400, -450, -500, -600, -720, -750, -900, -1000, -1125, -1200, -1500, -1800, -2000, -2250, -3000, -3600, -4500, -6000, -9000, -18000.

  • Is 18000 a whole number?

    Yes 18000 is a whole number.

  • Which is greatest factor of 18000?

    The greatest factor of 18000 is 9000.

  • What are the prime factors of 18000?

    The factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
    Prime factors of 18000 are 2, 2, 2, 2, 3, 3, 5, 5, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 18000. Can you help her?

Prime factors of 18000 are 2, 2, 2, 2, 3, 3, 5, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 18000?

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
Even factors of 18000 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 40, 48, 50, 60, 72, 80, 90, 100, 120, 144, 150, 180, 200, 240, 250, 300, 360, 400, 450, 500, 600, 720, 750, 900, 1000, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
Hence, product of even factors of 18000 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 18 x 20 x 24 x 30 x 36 x 40 x 48 x 50 x 60 x 72 x 80 x 90 x 100 x 120 x 144 x 150 x 180 x 200 x 240 x 250 x 300 x 360 x 400 x 450 x 500 x 600 x 720 x 750 x 900 x 1000 x 1200 x 1500 x 1800 x 2000 x 2250 x 3000 x 3600 x 4500 x 6000 x 9000 x 18000 = 2.2452257707354566e+109.

Joy wants to calculate mean of all the factors of 18000. Help him in finding the mean of 18000.

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 18000 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 100 + 120 + 125 + 144 + 150 + 180 + 200 + 225 + 240 + 250 + 300 + 360 + 375 + 400 + 450 + 500 + 600 + 720 + 750 + 900 + 1000 + 1125 + 1200 + 1500 + 1800 + 2000 + 2250 + 3000 + 3600 + 4500 + 6000 + 9000 + 18000 = 62868.
Hence, the mean of factors of 18000 is 62868 ÷ 60 = 1047.80.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 18000? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -25, -30, -36, -40, -45, -48, -50, -60, -72, -75, -80, -90, -100, -120, -125, -144, -150, -180, -200, -225, -240, -250, -300, -360, -375, -400, -450, -500, -600, -720, -750, -900, -1000, -1125, -1200, -1500, -1800, -2000, -2250, -3000, -3600, -4500, -6000, -9000, -18000.

How many factors are there for 18000?

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
So there are in total 60 factors.

Joey wants to write all the prime factors of 18000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 18000 are 2, 2, 2, 2, 3, 3, 5, 5, 5.
So in exponential form it can be written as 24 x 32 x 53.

Kevin has been asked to write 59 factor(s) of 18000. Can you predict the answer?

59 factor(s) of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000.