Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, and 1680
Hence, Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, and 1680
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 1680 using the division method, follow these steps:
So, the prime factorization of 1680 is, 1680 = 2 x 2 x 2 x 2 x 3 x 5 x 7.
We can follow the same procedure using the factor tree of 1680 as shown below:
So, the prime factorization of 1680 is, 1680 = 2 x 2 x 2 x 2 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 1680 would be the two numbers which, when multiplied, give 1680 as the result.
The following table represents the calculation of factors of 1680 in pairs:
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 1680 | 1 x 1680 = 1680 |
| 2 and 840 | 2 x 840 = 1680 |
| 3 and 560 | 3 x 560 = 1680 |
| 4 and 420 | 4 x 420 = 1680 |
| 5 and 336 | 5 x 336 = 1680 |
| 6 and 280 | 6 x 280 = 1680 |
| 7 and 240 | 7 x 240 = 1680 |
| 8 and 210 | 8 x 210 = 1680 |
| 10 and 168 | 10 x 168 = 1680 |
| 12 and 140 | 12 x 140 = 1680 |
| 14 and 120 | 14 x 120 = 1680 |
| 15 and 112 | 15 x 112 = 1680 |
| 16 and 105 | 16 x 105 = 1680 |
| 20 and 84 | 20 x 84 = 1680 |
| 21 and 80 | 21 x 80 = 1680 |
| 24 and 70 | 24 x 70 = 1680 |
| 28 and 60 | 28 x 60 = 1680 |
| 30 and 56 | 30 x 56 = 1680 |
| 35 and 48 | 35 x 48 = 1680 |
| 40 and 42 | 40 x 42 = 1680 |
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 1680. They are called negative pair factors.
Hence, the negative pairs of 1680 would be ( -1 , -1680 ) , ( -2 , -840 ) , ( -3 , -560 ) , ( -4 , -420 ) , ( -5 , -336 ) , ( -6 , -280 ) , ( -7 , -240 ) , ( -8 , -210 ) , ( -10 , -168 ) , ( -12 , -140 ) , ( -14 , -120 ) , ( -15 , -112 ) , ( -16 , -105 ) , ( -20 , -84 ) , ( -21 , -80 ) , ( -24 , -70 ) , ( -28 , -60 ) , ( -30 , -56 ) , ( -35 , -48 ) and ( -40 , -42 ) .
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.
Factors of -1680 are -1, -2, -3, -4, -5, -6, -7, -8, -10, -12, -14, -15, -16, -20, -21, -24, -28, -30, -35, -40, -42, -48, -56, -60, -70, -80, -84, -105, -112, -120, -140, -168, -210, -240, -280, -336, -420, -560, -840, -1680.
The sum of all factors of 1680 is 5952.
Prime factorization of 1680 is 2 x 2 x 2 x 2 x 3 x 5 x 7.
Pair factors of 1680 are (1,1680), (2,840), (3,560), (4,420), (5,336), (6,280), (7,240), (8,210), (10,168), (12,140), (14,120), (15,112), (16,105), (20,84), (21,80), (24,70), (28,60), (30,56), (35,48), (40,42).
First five multiples of 1680 are 3360, 5040, 6720, 8400, 10080, 11760.
Yes 1680 is a whole number.
Smallest prime factor of 1680 is 2.
First five multiples of 1680 are 3360, 5040, 6720, 8400, 10080.
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.
Prime factors of 1680 are 2, 2, 2, 2, 3, 5, 7.So in exponential form it can be written as 24 x 3 x 5 x 7.
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.So there are in total 40 factors.
39 factor(s) of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840.
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.Prime factors of 1680 are 2, 2, 2, 2, 3, 5, 7
Prime factorization of 1680 is 2 x 2 x 2 x 2 x 3 x 5 x 7 = 24 x 3 x 5 x 7.
Prime factors of 1680 are 2, 2, 2, 2, 3, 5, 7.Hence, the product of prime factors of 210.
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.Even factors of 1680 are 2, 4, 6, 8, 10, 12, 14, 16, 20, 24, 28, 30, 40, 42, 48, 56, 60, 70, 80, 84, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.Hence, product of even factors of 1680 is; 2 x 4 x 6 x 8 x 10 x 12 x 14 x 16 x 20 x 24 x 28 x 30 x 40 x 42 x 48 x 56 x 60 x 70 x 80 x 84 x 112 x 120 x 140 x 168 x 210 x 240 x 280 x 336 x 420 x 560 x 840 x 1680 = 2.6389334508755776e+56.