Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, and 4320

How to find factors of a number

1. Steps to find factors of 4320 using Division Method

Example: Find factors of 4320

  • Divide 4320 by 1: 4320 ÷ 1 : Remainder = 0
  • Divide 4320 by 2: 4320 ÷ 2 : Remainder = 0
  • Divide 4320 by 3: 4320 ÷ 3 : Remainder = 0
  • Divide 4320 by 4: 4320 ÷ 4 : Remainder = 0
  • Divide 4320 by 5: 4320 ÷ 5 : Remainder = 0
  • Divide 4320 by 6: 4320 ÷ 6 : Remainder = 0
  • Divide 4320 by 8: 4320 ÷ 8 : Remainder = 0
  • Divide 4320 by 9: 4320 ÷ 9 : Remainder = 0
  • Divide 4320 by 10: 4320 ÷ 10 : Remainder = 0
  • Divide 4320 by 12: 4320 ÷ 12 : Remainder = 0
  • Divide 4320 by 15: 4320 ÷ 15 : Remainder = 0
  • Divide 4320 by 16: 4320 ÷ 16 : Remainder = 0
  • Divide 4320 by 18: 4320 ÷ 18 : Remainder = 0
  • Divide 4320 by 20: 4320 ÷ 20 : Remainder = 0
  • Divide 4320 by 24: 4320 ÷ 24 : Remainder = 0
  • Divide 4320 by 27: 4320 ÷ 27 : Remainder = 0
  • Divide 4320 by 30: 4320 ÷ 30 : Remainder = 0
  • Divide 4320 by 32: 4320 ÷ 32 : Remainder = 0
  • Divide 4320 by 36: 4320 ÷ 36 : Remainder = 0
  • Divide 4320 by 40: 4320 ÷ 40 : Remainder = 0
  • Divide 4320 by 45: 4320 ÷ 45 : Remainder = 0
  • Divide 4320 by 48: 4320 ÷ 48 : Remainder = 0
  • Divide 4320 by 54: 4320 ÷ 54 : Remainder = 0
  • Divide 4320 by 60: 4320 ÷ 60 : Remainder = 0
  • Divide 4320 by 72: 4320 ÷ 72 : Remainder = 0
  • Divide 4320 by 80: 4320 ÷ 80 : Remainder = 0
  • Divide 4320 by 90: 4320 ÷ 90 : Remainder = 0
  • Divide 4320 by 96: 4320 ÷ 96 : Remainder = 0
  • Divide 4320 by 108: 4320 ÷ 108 : Remainder = 0
  • Divide 4320 by 120: 4320 ÷ 120 : Remainder = 0
  • Divide 4320 by 135: 4320 ÷ 135 : Remainder = 0
  • Divide 4320 by 144: 4320 ÷ 144 : Remainder = 0
  • Divide 4320 by 160: 4320 ÷ 160 : Remainder = 0
  • Divide 4320 by 180: 4320 ÷ 180 : Remainder = 0
  • Divide 4320 by 216: 4320 ÷ 216 : Remainder = 0
  • Divide 4320 by 240: 4320 ÷ 240 : Remainder = 0
  • Divide 4320 by 270: 4320 ÷ 270 : Remainder = 0
  • Divide 4320 by 288: 4320 ÷ 288 : Remainder = 0
  • Divide 4320 by 360: 4320 ÷ 360 : Remainder = 0
  • Divide 4320 by 432: 4320 ÷ 432 : Remainder = 0
  • Divide 4320 by 480: 4320 ÷ 480 : Remainder = 0
  • Divide 4320 by 540: 4320 ÷ 540 : Remainder = 0
  • Divide 4320 by 720: 4320 ÷ 720 : Remainder = 0
  • Divide 4320 by 864: 4320 ÷ 864 : Remainder = 0
  • Divide 4320 by 1080: 4320 ÷ 1080 : Remainder = 0
  • Divide 4320 by 1440: 4320 ÷ 1440 : Remainder = 0
  • Divide 4320 by 2160: 4320 ÷ 2160 : Remainder = 0
  • Divide 4320 by 4320: 4320 ÷ 4320 : Remainder = 0

Hence, Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, and 4320

2. Steps to find factors of 4320 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 4320 using the division method, follow these steps:

  • Step 1. Start dividing 4320 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 4320, which is 2. Divide 4320 by 2 to obtain the quotient (2160).
    4320 ÷ 2 = 2160
  • Step 3. Repeat step 1 with the obtained quotient (2160).
    2160 ÷ 2 = 1080
    1080 ÷ 2 = 540
    540 ÷ 2 = 270
    270 ÷ 2 = 135
    135 ÷ 3 = 45
    45 ÷ 3 = 15
    15 ÷ 3 = 5
    5 ÷ 5 = 1

So, the prime factorization of 4320 is, 4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4320 as shown below:

So, the prime factorization of 4320 is, 4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.

3. Find factors of 4320 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 4320 would be the two numbers which, when multiplied, give 4320 as the result.

The following table represents the calculation of factors of 4320 in pairs:

Factor Pair Pair Factorization
1 and 4320 1 x 4320 = 4320
2 and 2160 2 x 2160 = 4320
3 and 1440 3 x 1440 = 4320
4 and 1080 4 x 1080 = 4320
5 and 864 5 x 864 = 4320
6 and 720 6 x 720 = 4320
8 and 540 8 x 540 = 4320
9 and 480 9 x 480 = 4320
10 and 432 10 x 432 = 4320
12 and 360 12 x 360 = 4320
15 and 288 15 x 288 = 4320
16 and 270 16 x 270 = 4320
18 and 240 18 x 240 = 4320
20 and 216 20 x 216 = 4320
24 and 180 24 x 180 = 4320
27 and 160 27 x 160 = 4320
30 and 144 30 x 144 = 4320
32 and 135 32 x 135 = 4320
36 and 120 36 x 120 = 4320
40 and 108 40 x 108 = 4320
45 and 96 45 x 96 = 4320
48 and 90 48 x 90 = 4320
54 and 80 54 x 80 = 4320
60 and 72 60 x 72 = 4320

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 4320. They are called negative pair factors.

Hence, the negative pairs of 4320 would be ( -1 , -4320 ) , ( -2 , -2160 ) , ( -3 , -1440 ) , ( -4 , -1080 ) , ( -5 , -864 ) , ( -6 , -720 ) , ( -8 , -540 ) , ( -9 , -480 ) , ( -10 , -432 ) , ( -12 , -360 ) , ( -15 , -288 ) , ( -16 , -270 ) , ( -18 , -240 ) , ( -20 , -216 ) , ( -24 , -180 ) , ( -27 , -160 ) , ( -30 , -144 ) , ( -32 , -135 ) , ( -36 , -120 ) , ( -40 , -108 ) , ( -45 , -96 ) , ( -48 , -90 ) , ( -54 , -80 ) and ( -60 , -72 ) .

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. 4320 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4320.
  • Every number is a factor of zero (0), since 4320 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, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320 are exact divisors of 4320.
  • Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. Each factor divides 4320 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, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320 are all less than or equal to 4320.

Frequently Asked Questions

  • Which is the smallest prime factor of 4320?

    Smallest prime factor of 4320 is 2.

  • Is 4320 a perfect square?

    No 4320 is not a perfect square.

  • What are five multiples of 4320?

    First five multiples of 4320 are 8640, 12960, 17280, 21600, 25920.

  • What is prime factorization of 4320?

    Prime factorization of 4320 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.

  • What are factors of 4320?

    Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.

  • How do you find factors of a negative number? ( eg. -4320 )?

    Factors of -4320 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -27, -30, -32, -36, -40, -45, -48, -54, -60, -72, -80, -90, -96, -108, -120, -135, -144, -160, -180, -216, -240, -270, -288, -360, -432, -480, -540, -720, -864, -1080, -1440, -2160, -4320.

  • Is 4320 a whole number?

    Yes 4320 is a whole number.

  • Which is greatest factor of 4320?

    The greatest factor of 4320 is 2160.

  • What are the prime factors of 4320?

    The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.
    Prime factors of 4320 are 2, 2, 2, 2, 2, 3, 3, 3, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 4320. Can you help her?

Prime factors of 4320 are 2, 2, 2, 2, 2, 3, 3, 3, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 4320?

Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.
Even factors of 4320 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 32, 36, 40, 48, 54, 60, 72, 80, 90, 96, 108, 120, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.
Hence, product of even factors of 4320 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 18 x 20 x 24 x 30 x 32 x 36 x 40 x 48 x 54 x 60 x 72 x 80 x 90 x 96 x 108 x 120 x 144 x 160 x 180 x 216 x 240 x 270 x 288 x 360 x 432 x 480 x 540 x 720 x 864 x 1080 x 1440 x 2160 x 4320 = 5.373717723194771e+78.

Joy wants to calculate mean of all the factors of 4320. Help him in finding the mean of 4320.

Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 4320 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 32 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 90 + 96 + 108 + 120 + 135 + 144 + 160 + 180 + 216 + 240 + 270 + 288 + 360 + 432 + 480 + 540 + 720 + 864 + 1080 + 1440 + 2160 + 4320 = 15120.
Hence, the mean of factors of 4320 is 15120 ÷ 48 = 315.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4320? 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, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -27, -30, -32, -36, -40, -45, -48, -54, -60, -72, -80, -90, -96, -108, -120, -135, -144, -160, -180, -216, -240, -270, -288, -360, -432, -480, -540, -720, -864, -1080, -1440, -2160, -4320.

How many factors are there for 4320?

Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.
So there are in total 48 factors.

Joey wants to write all the prime factors of 4320 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4320 are 2, 2, 2, 2, 2, 3, 3, 3, 5.
So in exponential form it can be written as 25 x 33 x 5.

Kevin has been asked to write 47 factor(s) of 4320. Can you predict the answer?

47 factor(s) of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160.