Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, and 16200

How to find factors of a number

1. Steps to find factors of 16200 using Division Method

Example: Find factors of 16200

  • Divide 16200 by 1: 16200 ÷ 1 : Remainder = 0
  • Divide 16200 by 2: 16200 ÷ 2 : Remainder = 0
  • Divide 16200 by 3: 16200 ÷ 3 : Remainder = 0
  • Divide 16200 by 4: 16200 ÷ 4 : Remainder = 0
  • Divide 16200 by 5: 16200 ÷ 5 : Remainder = 0
  • Divide 16200 by 6: 16200 ÷ 6 : Remainder = 0
  • Divide 16200 by 8: 16200 ÷ 8 : Remainder = 0
  • Divide 16200 by 9: 16200 ÷ 9 : Remainder = 0
  • Divide 16200 by 10: 16200 ÷ 10 : Remainder = 0
  • Divide 16200 by 12: 16200 ÷ 12 : Remainder = 0
  • Divide 16200 by 15: 16200 ÷ 15 : Remainder = 0
  • Divide 16200 by 18: 16200 ÷ 18 : Remainder = 0
  • Divide 16200 by 20: 16200 ÷ 20 : Remainder = 0
  • Divide 16200 by 24: 16200 ÷ 24 : Remainder = 0
  • Divide 16200 by 25: 16200 ÷ 25 : Remainder = 0
  • Divide 16200 by 27: 16200 ÷ 27 : Remainder = 0
  • Divide 16200 by 30: 16200 ÷ 30 : Remainder = 0
  • Divide 16200 by 36: 16200 ÷ 36 : Remainder = 0
  • Divide 16200 by 40: 16200 ÷ 40 : Remainder = 0
  • Divide 16200 by 45: 16200 ÷ 45 : Remainder = 0
  • Divide 16200 by 50: 16200 ÷ 50 : Remainder = 0
  • Divide 16200 by 54: 16200 ÷ 54 : Remainder = 0
  • Divide 16200 by 60: 16200 ÷ 60 : Remainder = 0
  • Divide 16200 by 72: 16200 ÷ 72 : Remainder = 0
  • Divide 16200 by 75: 16200 ÷ 75 : Remainder = 0
  • Divide 16200 by 81: 16200 ÷ 81 : Remainder = 0
  • Divide 16200 by 90: 16200 ÷ 90 : Remainder = 0
  • Divide 16200 by 100: 16200 ÷ 100 : Remainder = 0
  • Divide 16200 by 108: 16200 ÷ 108 : Remainder = 0
  • Divide 16200 by 120: 16200 ÷ 120 : Remainder = 0
  • Divide 16200 by 135: 16200 ÷ 135 : Remainder = 0
  • Divide 16200 by 150: 16200 ÷ 150 : Remainder = 0
  • Divide 16200 by 162: 16200 ÷ 162 : Remainder = 0
  • Divide 16200 by 180: 16200 ÷ 180 : Remainder = 0
  • Divide 16200 by 200: 16200 ÷ 200 : Remainder = 0
  • Divide 16200 by 216: 16200 ÷ 216 : Remainder = 0
  • Divide 16200 by 225: 16200 ÷ 225 : Remainder = 0
  • Divide 16200 by 270: 16200 ÷ 270 : Remainder = 0
  • Divide 16200 by 300: 16200 ÷ 300 : Remainder = 0
  • Divide 16200 by 324: 16200 ÷ 324 : Remainder = 0
  • Divide 16200 by 360: 16200 ÷ 360 : Remainder = 0
  • Divide 16200 by 405: 16200 ÷ 405 : Remainder = 0
  • Divide 16200 by 450: 16200 ÷ 450 : Remainder = 0
  • Divide 16200 by 540: 16200 ÷ 540 : Remainder = 0
  • Divide 16200 by 600: 16200 ÷ 600 : Remainder = 0
  • Divide 16200 by 648: 16200 ÷ 648 : Remainder = 0
  • Divide 16200 by 675: 16200 ÷ 675 : Remainder = 0
  • Divide 16200 by 810: 16200 ÷ 810 : Remainder = 0
  • Divide 16200 by 900: 16200 ÷ 900 : Remainder = 0
  • Divide 16200 by 1080: 16200 ÷ 1080 : Remainder = 0
  • Divide 16200 by 1350: 16200 ÷ 1350 : Remainder = 0
  • Divide 16200 by 1620: 16200 ÷ 1620 : Remainder = 0
  • Divide 16200 by 1800: 16200 ÷ 1800 : Remainder = 0
  • Divide 16200 by 2025: 16200 ÷ 2025 : Remainder = 0
  • Divide 16200 by 2700: 16200 ÷ 2700 : Remainder = 0
  • Divide 16200 by 3240: 16200 ÷ 3240 : Remainder = 0
  • Divide 16200 by 4050: 16200 ÷ 4050 : Remainder = 0
  • Divide 16200 by 5400: 16200 ÷ 5400 : Remainder = 0
  • Divide 16200 by 8100: 16200 ÷ 8100 : Remainder = 0
  • Divide 16200 by 16200: 16200 ÷ 16200 : Remainder = 0

Hence, Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, and 16200

2. Steps to find factors of 16200 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 16200 using the division method, follow these steps:

  • Step 1. Start dividing 16200 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 16200, which is 2. Divide 16200 by 2 to obtain the quotient (8100).
    16200 ÷ 2 = 8100
  • Step 3. Repeat step 1 with the obtained quotient (8100).
    8100 ÷ 2 = 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 16200 is, 16200 = 2 x 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 16200 as shown below:

So, the prime factorization of 16200 is, 16200 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5.

3. Find factors of 16200 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 16200 would be the two numbers which, when multiplied, give 16200 as the result.

The following table represents the calculation of factors of 16200 in pairs:

Factor Pair Pair Factorization
1 and 16200 1 x 16200 = 16200
2 and 8100 2 x 8100 = 16200
3 and 5400 3 x 5400 = 16200
4 and 4050 4 x 4050 = 16200
5 and 3240 5 x 3240 = 16200
6 and 2700 6 x 2700 = 16200
8 and 2025 8 x 2025 = 16200
9 and 1800 9 x 1800 = 16200
10 and 1620 10 x 1620 = 16200
12 and 1350 12 x 1350 = 16200
15 and 1080 15 x 1080 = 16200
18 and 900 18 x 900 = 16200
20 and 810 20 x 810 = 16200
24 and 675 24 x 675 = 16200
25 and 648 25 x 648 = 16200
27 and 600 27 x 600 = 16200
30 and 540 30 x 540 = 16200
36 and 450 36 x 450 = 16200
40 and 405 40 x 405 = 16200
45 and 360 45 x 360 = 16200
50 and 324 50 x 324 = 16200
54 and 300 54 x 300 = 16200
60 and 270 60 x 270 = 16200
72 and 225 72 x 225 = 16200
75 and 216 75 x 216 = 16200
81 and 200 81 x 200 = 16200
90 and 180 90 x 180 = 16200
100 and 162 100 x 162 = 16200
108 and 150 108 x 150 = 16200
120 and 135 120 x 135 = 16200

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 16200. They are called negative pair factors.

Hence, the negative pairs of 16200 would be ( -1 , -16200 ) , ( -2 , -8100 ) , ( -3 , -5400 ) , ( -4 , -4050 ) , ( -5 , -3240 ) , ( -6 , -2700 ) , ( -8 , -2025 ) , ( -9 , -1800 ) , ( -10 , -1620 ) , ( -12 , -1350 ) , ( -15 , -1080 ) , ( -18 , -900 ) , ( -20 , -810 ) , ( -24 , -675 ) , ( -25 , -648 ) , ( -27 , -600 ) , ( -30 , -540 ) , ( -36 , -450 ) , ( -40 , -405 ) , ( -45 , -360 ) , ( -50 , -324 ) , ( -54 , -300 ) , ( -60 , -270 ) , ( -72 , -225 ) , ( -75 , -216 ) , ( -81 , -200 ) , ( -90 , -180 ) , ( -100 , -162 ) , ( -108 , -150 ) and ( -120 , -135 ) .

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. 16200 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 16200.
  • Every number is a factor of zero (0), since 16200 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, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200 are exact divisors of 16200.
  • Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200. Each factor divides 16200 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, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200 are all less than or equal to 16200.

Frequently Asked Questions

  • Which is the smallest prime factor of 16200?

    Smallest prime factor of 16200 is 2.

  • Is 16200 a perfect square?

    No 16200 is not a perfect square.

  • What are five multiples of 16200?

    First five multiples of 16200 are 32400, 48600, 64800, 81000, 97200.

  • What is prime factorization of 16200?

    Prime factorization of 16200 is 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5.

  • What are factors of 16200?

    Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200.

  • How do you find factors of a negative number? ( eg. -16200 )?

    Factors of -16200 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -27, -30, -36, -40, -45, -50, -54, -60, -72, -75, -81, -90, -100, -108, -120, -135, -150, -162, -180, -200, -216, -225, -270, -300, -324, -360, -405, -450, -540, -600, -648, -675, -810, -900, -1080, -1350, -1620, -1800, -2025, -2700, -3240, -4050, -5400, -8100, -16200.

  • Is 16200 a whole number?

    Yes 16200 is a whole number.

  • Which is greatest factor of 16200?

    The greatest factor of 16200 is 8100.

  • What are the prime factors of 16200?

    The factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200.
    Prime factors of 16200 are 2, 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 16200. Can you help her?

Prime factors of 16200 are 2, 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 16200?

Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200.
Even factors of 16200 are 2, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 40, 50, 54, 60, 72, 90, 100, 108, 120, 150, 162, 180, 200, 216, 270, 300, 324, 360, 450, 540, 600, 648, 810, 900, 1080, 1350, 1620, 1800, 2700, 3240, 4050, 5400, 8100, 16200.
Hence, product of even factors of 16200 is; 2 x 4 x 6 x 8 x 10 x 12 x 18 x 20 x 24 x 30 x 36 x 40 x 50 x 54 x 60 x 72 x 90 x 100 x 108 x 120 x 150 x 162 x 180 x 200 x 216 x 270 x 300 x 324 x 360 x 450 x 540 x 600 x 648 x 810 x 900 x 1080 x 1350 x 1620 x 1800 x 2700 x 3240 x 4050 x 5400 x 8100 x 16200 = 3.0708791775736776e+101.

Joy wants to calculate mean of all the factors of 16200. Help him in finding the mean of 16200.

Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 16200 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 27 + 30 + 36 + 40 + 45 + 50 + 54 + 60 + 72 + 75 + 81 + 90 + 100 + 108 + 120 + 135 + 150 + 162 + 180 + 200 + 216 + 225 + 270 + 300 + 324 + 360 + 405 + 450 + 540 + 600 + 648 + 675 + 810 + 900 + 1080 + 1350 + 1620 + 1800 + 2025 + 2700 + 3240 + 4050 + 5400 + 8100 + 16200 = 56265.
Hence, the mean of factors of 16200 is 56265 ÷ 60 = 937.75.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 16200? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -27, -30, -36, -40, -45, -50, -54, -60, -72, -75, -81, -90, -100, -108, -120, -135, -150, -162, -180, -200, -216, -225, -270, -300, -324, -360, -405, -450, -540, -600, -648, -675, -810, -900, -1080, -1350, -1620, -1800, -2025, -2700, -3240, -4050, -5400, -8100, -16200.

How many factors are there for 16200?

Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200.
So there are in total 60 factors.

Joey wants to write all the prime factors of 16200 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 16200 are 2, 2, 2, 3, 3, 3, 3, 5, 5.
So in exponential form it can be written as 23 x 34 x 52.

Kevin has been asked to write 59 factor(s) of 16200. Can you predict the answer?

59 factor(s) of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100.