Factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, and 5400

How to find factors of a number

1. Steps to find factors of 5400 using Division Method

Example: Find factors of 5400

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

Hence, Factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, and 5400

2. Steps to find factors of 5400 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 5400 using the division method, follow these steps:

  • Step 1. Start dividing 5400 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 5400, which is 2. Divide 5400 by 2 to obtain the quotient (2700).
    5400 ÷ 2 = 2700
  • Step 3. Repeat step 1 with the obtained quotient (2700).
    2700 ÷ 2 = 1350
    1350 ÷ 2 = 675
    675 ÷ 3 = 225
    225 ÷ 3 = 75
    75 ÷ 3 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 5400 is, 5400 = 2 x 2 x 2 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 5400 as shown below:

So, the prime factorization of 5400 is, 5400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5.

3. Find factors of 5400 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 5400 would be the two numbers which, when multiplied, give 5400 as the result.

The following table represents the calculation of factors of 5400 in pairs:

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

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 5400. They are called negative pair factors.

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

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. 5400 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5400.
  • Every number is a factor of zero (0), since 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400 are exact divisors of 5400.
  • Factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. Each factor divides 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400 are all less than or equal to 5400.

Frequently Asked Questions

  • Which is the smallest prime factor of 5400?

    Smallest prime factor of 5400 is 2.

  • Is 5400 a perfect square?

    No 5400 is not a perfect square.

  • What are five multiples of 5400?

    First five multiples of 5400 are 10800, 16200, 21600, 27000, 32400.

  • What is prime factorization of 5400?

    Prime factorization of 5400 is 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5.

  • What are factors of 5400?

    Factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.

  • How do you find factors of a negative number? ( eg. -5400 )?

    Factors of -5400 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, -90, -100, -108, -120, -135, -150, -180, -200, -216, -225, -270, -300, -360, -450, -540, -600, -675, -900, -1080, -1350, -1800, -2700, -5400.

  • Is 5400 a whole number?

    Yes 5400 is a whole number.

  • Which is greatest factor of 5400?

    The greatest factor of 5400 is 2700.

  • What are the prime factors of 5400?

    The factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.
    Prime factors of 5400 are 2, 2, 2, 3, 3, 3, 5, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 5400. Can you help her?

Prime factors of 5400 are 2, 2, 2, 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 5400?

Factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.
Even factors of 5400 are 2, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 40, 50, 54, 60, 72, 90, 100, 108, 120, 150, 180, 200, 216, 270, 300, 360, 450, 540, 600, 900, 1080, 1350, 1800, 2700, 5400.
Hence, product of even factors of 5400 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 180 x 200 x 216 x 270 x 300 x 360 x 450 x 540 x 600 x 900 x 1080 x 1350 x 1800 x 2700 x 5400 = 3.996019499184929e+72.

Joy wants to calculate mean of all the factors of 5400. Help him in finding the mean of 5400.

Factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 5400 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 + 90 + 100 + 108 + 120 + 135 + 150 + 180 + 200 + 216 + 225 + 270 + 300 + 360 + 450 + 540 + 600 + 675 + 900 + 1080 + 1350 + 1800 + 2700 + 5400 = 18600.
Hence, the mean of factors of 5400 is 18600 ÷ 48 = 387.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 5400? 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.
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, -90, -100, -108, -120, -135, -150, -180, -200, -216, -225, -270, -300, -360, -450, -540, -600, -675, -900, -1080, -1350, -1800, -2700, -5400.

How many factors are there for 5400?

Factors of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.
So there are in total 48 factors.

Joey wants to write all the prime factors of 5400 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 5400 are 2, 2, 2, 3, 3, 3, 5, 5.
So in exponential form it can be written as 23 x 33 x 52.

Kevin has been asked to write 47 factor(s) of 5400. Can you predict the answer?

47 factor(s) of 5400 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, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700.