Is 2004 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 2004 is composite or not first we have to find its factors.
Contents
Factors of 2004:
- If we have taken numbers from 1, 2, 3…for checking factors of 2004, we found that 2004 has factors 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004. Hence, we must say that 2004 is a composite number.
- Thus, 2004 is the composite number.
- If we multiply 2004 by 1, 2, 3 then we get the multiples of 2004 which are 2004, 4008 and so on.
About the number 2004:
- 2004 has more than two factors which are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004 and hence it is the composite number.
- 2004 is the even composite number and it is not the perfect square also.
- If we divide 2004 by, 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004 are the factors of 2004.
Note:
- 2004 is not the perfect square.
- Factors of 2004: 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004
- Prime factors of 2004: 2, 3, 167
Conclusion:
- 2004 is the composite number which has factors 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004
- And hence, 2004 is not the prime number.
Multiple Choice Questions:
1) 2004 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2004 are
a) 2004
b) 2, 3, 167
c) 1, 4, 6, 12, 334, 501, 668, 1002 and 2004
d) 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004
Ans: c) 1, 4, 6, 12, 334, 501, 668, 1002 and 2004
3) 2004 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004