Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, and 1440
Hence, Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, and 1440
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 1440 using the division method, follow these steps:
So, the prime factorization of 1440 is, 1440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5.
We can follow the same procedure using the factor tree of 1440 as shown below:
So, the prime factorization of 1440 is, 1440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 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 1440 would be the two numbers which, when multiplied, give 1440 as the result.
The following table represents the calculation of factors of 1440 in pairs:
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 1440 | 1 x 1440 = 1440 |
| 2 and 720 | 2 x 720 = 1440 |
| 3 and 480 | 3 x 480 = 1440 |
| 4 and 360 | 4 x 360 = 1440 |
| 5 and 288 | 5 x 288 = 1440 |
| 6 and 240 | 6 x 240 = 1440 |
| 8 and 180 | 8 x 180 = 1440 |
| 9 and 160 | 9 x 160 = 1440 |
| 10 and 144 | 10 x 144 = 1440 |
| 12 and 120 | 12 x 120 = 1440 |
| 15 and 96 | 15 x 96 = 1440 |
| 16 and 90 | 16 x 90 = 1440 |
| 18 and 80 | 18 x 80 = 1440 |
| 20 and 72 | 20 x 72 = 1440 |
| 24 and 60 | 24 x 60 = 1440 |
| 30 and 48 | 30 x 48 = 1440 |
| 32 and 45 | 32 x 45 = 1440 |
| 36 and 40 | 36 x 40 = 1440 |
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 1440. They are called negative pair factors.
Hence, the negative pairs of 1440 would be ( -1 , -1440 ) , ( -2 , -720 ) , ( -3 , -480 ) , ( -4 , -360 ) , ( -5 , -288 ) , ( -6 , -240 ) , ( -8 , -180 ) , ( -9 , -160 ) , ( -10 , -144 ) , ( -12 , -120 ) , ( -15 , -96 ) , ( -16 , -90 ) , ( -18 , -80 ) , ( -20 , -72 ) , ( -24 , -60 ) , ( -30 , -48 ) , ( -32 , -45 ) and ( -36 , -40 ) .
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 1440 is 2.
No 1440 is not a perfect square.
First five multiples of 1440 are 2880, 4320, 5760, 7200, 8640.
Prime factorization of 1440 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5.
Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.
Factors of -1440 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -32, -36, -40, -45, -48, -60, -72, -80, -90, -96, -120, -144, -160, -180, -240, -288, -360, -480, -720, -1440.
Yes 1440 is a whole number.
The greatest factor of 1440 is 720.
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.Prime factors of 1440 are 2, 2, 2, 2, 2, 3, 3, 5.
Prime factors of 1440 are 2, 2, 2, 2, 2, 3, 3, 5.Hence, the product of prime factors of 30.
Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.Even factors of 1440 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 32, 36, 40, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.Hence, product of even factors of 1440 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 60 x 72 x 80 x 90 x 96 x 120 x 144 x 160 x 180 x 240 x 288 x 360 x 480 x 720 x 1440 = 7.778347050590856e+51.
Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1440 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 72 + 80 + 90 + 96 + 120 + 144 + 160 + 180 + 240 + 288 + 360 + 480 + 720 + 1440 = 4914.Hence, the mean of factors of 1440 is 4914 ÷ 36 = 136.50.
Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -32, -36, -40, -45, -48, -60, -72, -80, -90, -96, -120, -144, -160, -180, -240, -288, -360, -480, -720, -1440.
Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.So there are in total 36 factors.
Prime factors of 1440 are 2, 2, 2, 2, 2, 3, 3, 5.So in exponential form it can be written as 25 x 32 x 5.
35 factor(s) of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720.