Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, and 1008
Hence, Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, and 1008
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 1008 using the division method, follow these steps:
So, the prime factorization of 1008 is, 1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7.
We can follow the same procedure using the factor tree of 1008 as shown below:
So, the prime factorization of 1008 is, 1008 = 2 x 2 x 2 x 2 x 3 x 3 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 1008 would be the two numbers which, when multiplied, give 1008 as the result.
The following table represents the calculation of factors of 1008 in pairs:
Factor Pair | Pair Factorization |
---|---|
1 and 1008 | 1 x 1008 = 1008 |
2 and 504 | 2 x 504 = 1008 |
3 and 336 | 3 x 336 = 1008 |
4 and 252 | 4 x 252 = 1008 |
6 and 168 | 6 x 168 = 1008 |
7 and 144 | 7 x 144 = 1008 |
8 and 126 | 8 x 126 = 1008 |
9 and 112 | 9 x 112 = 1008 |
12 and 84 | 12 x 84 = 1008 |
14 and 72 | 14 x 72 = 1008 |
16 and 63 | 16 x 63 = 1008 |
18 and 56 | 18 x 56 = 1008 |
21 and 48 | 21 x 48 = 1008 |
24 and 42 | 24 x 42 = 1008 |
28 and 36 | 28 x 36 = 1008 |
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 1008. They are called negative pair factors.
Hence, the negative pairs of 1008 would be ( -1 , -1008 ) , ( -2 , -504 ) , ( -3 , -336 ) , ( -4 , -252 ) , ( -6 , -168 ) , ( -7 , -144 ) , ( -8 , -126 ) , ( -9 , -112 ) , ( -12 , -84 ) , ( -14 , -72 ) , ( -16 , -63 ) , ( -18 , -56 ) , ( -21 , -48 ) , ( -24 , -42 ) and ( -28 , -36 ) .
In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.
Smallest prime factor of 1008 is 2.
No 1008 is not a perfect square.
First five multiples of 1008 are 2016, 3024, 4032, 5040, 6048.
Prime factorization of 1008 is 2 x 2 x 2 x 2 x 3 x 3 x 7.
Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.
Factors of -1008 are -1, -2, -3, -4, -6, -7, -8, -9, -12, -14, -16, -18, -21, -24, -28, -36, -42, -48, -56, -63, -72, -84, -112, -126, -144, -168, -252, -336, -504, -1008.
Yes 1008 is a whole number.
The greatest factor of 1008 is 504.
The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.Prime factors of 1008 are 2, 2, 2, 2, 3, 3, 7.
Prime factors of 1008 are 2, 2, 2, 2, 3, 3, 7.Hence, the product of prime factors of 42.
Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.Even factors of 1008 are 2, 4, 6, 8, 12, 14, 16, 18, 24, 28, 36, 42, 48, 56, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.Hence, product of even factors of 1008 is; 2 x 4 x 6 x 8 x 12 x 14 x 16 x 18 x 24 x 28 x 36 x 42 x 48 x 56 x 72 x 84 x 112 x 126 x 144 x 168 x 252 x 336 x 504 x 1008 = 4.506987289461336e+39.
Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1008 is 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 28 + 36 + 42 + 48 + 56 + 63 + 72 + 84 + 112 + 126 + 144 + 168 + 252 + 336 + 504 + 1008 = 3224.Hence, the mean of factors of 1008 is 3224 ÷ 30 = 107.47.
Positive factors are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008. Negative factors are -1, -2, -3, -4, -6, -7, -8, -9, -12, -14, -16, -18, -21, -24, -28, -36, -42, -48, -56, -63, -72, -84, -112, -126, -144, -168, -252, -336, -504, -1008.
Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.So there are in total 30 factors.
Prime factors of 1008 are 2, 2, 2, 2, 3, 3, 7.So in exponential form it can be written as 24 x 32 x 7.
29 factor(s) of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504.