Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, and 5040
Hence, Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, and 5040
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 5040 using the division method, follow these steps:
So, the prime factorization of 5040 is, 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7.
We can follow the same procedure using the factor tree of 5040 as shown below:
So, the prime factorization of 5040 is, 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7.
Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 5040 would be the two numbers which, when multiplied, give 5040 as the result.
The following table represents the calculation of factors of 5040 in pairs:
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 5040 | 1 x 5040 = 5040 |
| 2 and 2520 | 2 x 2520 = 5040 |
| 3 and 1680 | 3 x 1680 = 5040 |
| 4 and 1260 | 4 x 1260 = 5040 |
| 5 and 1008 | 5 x 1008 = 5040 |
| 6 and 840 | 6 x 840 = 5040 |
| 7 and 720 | 7 x 720 = 5040 |
| 8 and 630 | 8 x 630 = 5040 |
| 9 and 560 | 9 x 560 = 5040 |
| 10 and 504 | 10 x 504 = 5040 |
| 12 and 420 | 12 x 420 = 5040 |
| 14 and 360 | 14 x 360 = 5040 |
| 15 and 336 | 15 x 336 = 5040 |
| 16 and 315 | 16 x 315 = 5040 |
| 18 and 280 | 18 x 280 = 5040 |
| 20 and 252 | 20 x 252 = 5040 |
| 21 and 240 | 21 x 240 = 5040 |
| 24 and 210 | 24 x 210 = 5040 |
| 28 and 180 | 28 x 180 = 5040 |
| 30 and 168 | 30 x 168 = 5040 |
| 35 and 144 | 35 x 144 = 5040 |
| 36 and 140 | 36 x 140 = 5040 |
| 40 and 126 | 40 x 126 = 5040 |
| 42 and 120 | 42 x 120 = 5040 |
| 45 and 112 | 45 x 112 = 5040 |
| 48 and 105 | 48 x 105 = 5040 |
| 56 and 90 | 56 x 90 = 5040 |
| 60 and 84 | 60 x 84 = 5040 |
| 63 and 80 | 63 x 80 = 5040 |
| 70 and 72 | 70 x 72 = 5040 |
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 5040. They are called negative pair factors.
Hence, the negative pairs of 5040 would be ( -1 , -5040 ) , ( -2 , -2520 ) , ( -3 , -1680 ) , ( -4 , -1260 ) , ( -5 , -1008 ) , ( -6 , -840 ) , ( -7 , -720 ) , ( -8 , -630 ) , ( -9 , -560 ) , ( -10 , -504 ) , ( -12 , -420 ) , ( -14 , -360 ) , ( -15 , -336 ) , ( -16 , -315 ) , ( -18 , -280 ) , ( -20 , -252 ) , ( -21 , -240 ) , ( -24 , -210 ) , ( -28 , -180 ) , ( -30 , -168 ) , ( -35 , -144 ) , ( -36 , -140 ) , ( -40 , -126 ) , ( -42 , -120 ) , ( -45 , -112 ) , ( -48 , -105 ) , ( -56 , -90 ) , ( -60 , -84 ) , ( -63 , -80 ) and ( -70 , -72 ) .
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 5040 is 2.
No 5040 is not a perfect square.
First five multiples of 5040 are 10080, 15120, 20160, 25200, 30240.
Prime factorization of 5040 is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7.
Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.
Factors of -5040 are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -16, -18, -20, -21, -24, -28, -30, -35, -36, -40, -42, -45, -48, -56, -60, -63, -70, -72, -80, -84, -90, -105, -112, -120, -126, -140, -144, -168, -180, -210, -240, -252, -280, -315, -336, -360, -420, -504, -560, -630, -720, -840, -1008, -1260, -1680, -2520, -5040.
Yes 5040 is a whole number.
The greatest factor of 5040 is 2520.
The factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.Prime factors of 5040 are 2, 2, 2, 2, 3, 3, 5, 7.
Prime factors of 5040 are 2, 2, 2, 2, 3, 3, 5, 7.Hence, the product of prime factors of 210.
Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.Even factors of 5040 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 24, 28, 30, 36, 40, 42, 48, 56, 60, 70, 72, 80, 84, 90, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.Hence, product of even factors of 5040 is; 2 x 4 x 6 x 8 x 10 x 12 x 14 x 16 x 18 x 20 x 24 x 28 x 30 x 36 x 40 x 42 x 48 x 56 x 60 x 70 x 72 x 80 x 84 x 90 x 112 x 120 x 126 x 140 x 144 x 168 x 180 x 210 x 240 x 252 x 280 x 336 x 360 x 420 x 504 x 560 x 630 x 720 x 840 x 1008 x 1260 x 1680 x 2520 x 5040 = 1.2107452408889556e+96.
Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.To calculate the mean we need to calculate the sum of factors first. Sum of factors of 5040 is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 48 + 56 + 60 + 63 + 70 + 72 + 80 + 84 + 90 + 105 + 112 + 120 + 126 + 140 + 144 + 168 + 180 + 210 + 240 + 252 + 280 + 315 + 336 + 360 + 420 + 504 + 560 + 630 + 720 + 840 + 1008 + 1260 + 1680 + 2520 + 5040 = 19344.Hence, the mean of factors of 5040 is 19344 ÷ 60 = 322.40.
Positive factors are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040. Negative factors are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -16, -18, -20, -21, -24, -28, -30, -35, -36, -40, -42, -45, -48, -56, -60, -63, -70, -72, -80, -84, -90, -105, -112, -120, -126, -140, -144, -168, -180, -210, -240, -252, -280, -315, -336, -360, -420, -504, -560, -630, -720, -840, -1008, -1260, -1680, -2520, -5040.
Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.So there are in total 60 factors.
Prime factors of 5040 are 2, 2, 2, 2, 3, 3, 5, 7.So in exponential form it can be written as 24 x 32 x 5 x 7.
59 factor(s) of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520.