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
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
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.
To find the primefactors of 5400 using the division method, follow these steps:
So, the prime factorization of 5400 is, 5400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5.
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.
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 ) .
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.
Smallest prime factor of 5400 is 2.
No 5400 is not a perfect square.
First five multiples of 5400 are 10800, 16200, 21600, 27000, 32400.
Prime factorization of 5400 is 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5.
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.
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.
Yes 5400 is a whole number.
The greatest factor of 5400 is 2700.
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.
Prime factors of 5400 are 2, 2, 2, 3, 3, 3, 5, 5.
Hence, the product of prime factors of 30.
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.
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.
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.
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.
Prime factors of 5400 are 2, 2, 2, 3, 3, 3, 5, 5.
So in exponential form it can be written as 2^{3} x 3^{3} x 5^{2}.
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.