Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, and 3960
Hence, Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, and 3960
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 3960 using the division method, follow these steps:
So, the prime factorization of 3960 is, 3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11.
We can follow the same procedure using the factor tree of 3960 as shown below:
So, the prime factorization of 3960 is, 3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11.
Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 3960 would be the two numbers which, when multiplied, give 3960 as the result.
The following table represents the calculation of factors of 3960 in pairs:
Factor Pair | Pair Factorization |
---|---|
1 and 3960 | 1 x 3960 = 3960 |
2 and 1980 | 2 x 1980 = 3960 |
3 and 1320 | 3 x 1320 = 3960 |
4 and 990 | 4 x 990 = 3960 |
5 and 792 | 5 x 792 = 3960 |
6 and 660 | 6 x 660 = 3960 |
8 and 495 | 8 x 495 = 3960 |
9 and 440 | 9 x 440 = 3960 |
10 and 396 | 10 x 396 = 3960 |
11 and 360 | 11 x 360 = 3960 |
12 and 330 | 12 x 330 = 3960 |
15 and 264 | 15 x 264 = 3960 |
18 and 220 | 18 x 220 = 3960 |
20 and 198 | 20 x 198 = 3960 |
22 and 180 | 22 x 180 = 3960 |
24 and 165 | 24 x 165 = 3960 |
30 and 132 | 30 x 132 = 3960 |
33 and 120 | 33 x 120 = 3960 |
36 and 110 | 36 x 110 = 3960 |
40 and 99 | 40 x 99 = 3960 |
44 and 90 | 44 x 90 = 3960 |
45 and 88 | 45 x 88 = 3960 |
55 and 72 | 55 x 72 = 3960 |
60 and 66 | 60 x 66 = 3960 |
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 3960. They are called negative pair factors.
Hence, the negative pairs of 3960 would be ( -1 , -3960 ) , ( -2 , -1980 ) , ( -3 , -1320 ) , ( -4 , -990 ) , ( -5 , -792 ) , ( -6 , -660 ) , ( -8 , -495 ) , ( -9 , -440 ) , ( -10 , -396 ) , ( -11 , -360 ) , ( -12 , -330 ) , ( -15 , -264 ) , ( -18 , -220 ) , ( -20 , -198 ) , ( -22 , -180 ) , ( -24 , -165 ) , ( -30 , -132 ) , ( -33 , -120 ) , ( -36 , -110 ) , ( -40 , -99 ) , ( -44 , -90 ) , ( -45 , -88 ) , ( -55 , -72 ) and ( -60 , -66 ) .
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 3960 is 2.
No 3960 is not a perfect square.
First five multiples of 3960 are 7920, 11880, 15840, 19800, 23760.
Prime factorization of 3960 is 2 x 2 x 2 x 3 x 3 x 5 x 11.
Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
Factors of -3960 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -15, -18, -20, -22, -24, -30, -33, -36, -40, -44, -45, -55, -60, -66, -72, -88, -90, -99, -110, -120, -132, -165, -180, -198, -220, -264, -330, -360, -396, -440, -495, -660, -792, -990, -1320, -1980, -3960.
Yes 3960 is a whole number.
The greatest factor of 3960 is 1980.
The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
Prime factors of 3960 are 2, 2, 2, 3, 3, 5, 11.
Prime factors of 3960 are 2, 2, 2, 3, 3, 5, 11.
Hence, the product of prime factors of 330.
Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
Even factors of 3960 are 2, 4, 6, 8, 10, 12, 18, 20, 22, 24, 30, 36, 40, 44, 60, 66, 72, 88, 90, 110, 120, 132, 180, 198, 220, 264, 330, 360, 396, 440, 660, 792, 990, 1320, 1980, 3960.
Hence, product of even factors of 3960 is; 2 x 4 x 6 x 8 x 10 x 12 x 18 x 20 x 22 x 24 x 30 x 36 x 40 x 44 x 60 x 66 x 72 x 88 x 90 x 110 x 120 x 132 x 180 x 198 x 220 x 264 x 330 x 360 x 396 x 440 x 660 x 792 x 990 x 1320 x 1980 x 3960 = 1.503326346040866e+70.
Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 3960 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 24 + 30 + 33 + 36 + 40 + 44 + 45 + 55 + 60 + 66 + 72 + 88 + 90 + 99 + 110 + 120 + 132 + 165 + 180 + 198 + 220 + 264 + 330 + 360 + 396 + 440 + 495 + 660 + 792 + 990 + 1320 + 1980 + 3960 = 14040.
Hence, the mean of factors of 3960 is 14040 ÷ 48 = 292.50.
Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -15, -18, -20, -22, -24, -30, -33, -36, -40, -44, -45, -55, -60, -66, -72, -88, -90, -99, -110, -120, -132, -165, -180, -198, -220, -264, -330, -360, -396, -440, -495, -660, -792, -990, -1320, -1980, -3960.
Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
So there are in total 48 factors.
Prime factors of 3960 are 2, 2, 2, 3, 3, 5, 11.
So in exponential form it can be written as 2^{3} x 3^{2} x 5 x 11.
47 factor(s) of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980.