Factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, and 2004
Hence, Factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, and 2004
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 2004 using the division method, follow these steps:
So, the prime factorization of 2004 is, 2004 = 2 x 2 x 3 x 167.
We can follow the same procedure using the factor tree of 2004 as shown below:
So, the prime factorization of 2004 is, 2004 = 2 x 2 x 3 x 167.
Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 2004 would be the two numbers which, when multiplied, give 2004 as the result.
The following table represents the calculation of factors of 2004 in pairs:
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 2004 | 1 x 2004 = 2004 |
| 2 and 1002 | 2 x 1002 = 2004 |
| 3 and 668 | 3 x 668 = 2004 |
| 4 and 501 | 4 x 501 = 2004 |
| 6 and 334 | 6 x 334 = 2004 |
| 12 and 167 | 12 x 167 = 2004 |
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 2004. They are called negative pair factors.
Hence, the negative pairs of 2004 would be ( -1 , -2004 ) , ( -2 , -1002 ) , ( -3 , -668 ) , ( -4 , -501 ) , ( -6 , -334 ) and ( -12 , -167 ) .
In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.
Factors of -2004 are -1, -2, -3, -4, -6, -12, -167, -334, -501, -668, -1002, -2004.
The sum of all factors of 2004 is 4704.
Prime factorization of 2004 is 2 x 2 x 3 x 167.
Pair factors of 2004 are (1,2004), (2,1002), (3,668), (4,501), (6,334), (12,167).
First five multiples of 2004 are 4008, 6012, 8016, 10020, 12024, 14028.
Yes 2004 is a whole number.
Smallest prime factor of 2004 is 2.
First five multiples of 2004 are 4008, 6012, 8016, 10020, 12024.
Factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004.
Prime factors of 2004 are 2, 2, 3, 167.So in exponential form it can be written as 22 x 3 x 167.
Factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004.So there are in total 12 factors.
11 factor(s) of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002.
Factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004.Prime factors of 2004 are 2, 2, 3, 167
Prime factorization of 2004 is 2 x 2 x 3 x 167 = 22 x 3 x 167.
Prime factors of 2004 are 2, 2, 3, 167.Hence, the product of prime factors of 1002.
Factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004.Even factors of 2004 are 2, 4, 6, 12, 334, 668, 1002, 2004.Hence, product of even factors of 2004 is; 2 x 4 x 6 x 12 x 334 x 668 x 1002 x 2004 = 258054152196096.