Is 2007 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 2007 is composite or not first we have to find its factors.
Contents
Factors of 2007:
- If we have taken numbers from 1, 2, 3…for checking factors of 2007, we found that 2007 has factors 1, 3, 9, 223, 669 and 2007. Hence, we must say that 2007 is a composite number.
- Thus, 2007 is the composite number.
- If we multiply 2007 by 1, 2, 3 then we get the multiples of 2007 which are 2007, 4014 and so on.
2007 is a Composite number or Prime number
About the number 2007:
- 2007 has more than two factors which are 1, 3, 9, 223, 669 and 2007 and hence it is the composite number.
- 2007 is the odd composite number and it is not the perfect square also.
- If we divide 2007 by 1, 3, 9, 223, 669 and 2007 then we get remainder as zero. Hence, 1, 3, 9, 223, 669 and 2007 are the factors of 2007
Note:
- 2007 is not the perfect square.
- Factors of 2007: 1, 3, 9, 223, 669 and 2007
- Prime factors of 2007: 3, 223
Conclusion:
- 2007 is the composite number which has factors 1, 3, 9, 223, 669 and 2007.
- And hence, 2007 is not the prime number.
Multiple Choice Questions:
1) 2007 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2007 are
a) 1
b) 3, 223
c) 1, 9, 669 and 2007
d) 1, 3, 9, 223, 669 and 2007
Ans: c) 1, 9, 669 and 2007
3) 2007 is the odd composite number because
a) It has factors 1, 3, 9, 223, 669 and 2007
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all