Is 2009 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 2009 is composite or not first we have to find its factors.
Contents
Factors of 2009:
- If we have taken numbers from 1, 2, 3…for checking factors of 2009, we found that 2009 has factors 1, 7, 41, 49, 287 and 2009. Hence, we must say that 2009 is a composite number.
- Thus, 2009 is the composite number.
- If we multiply 2009 by 1, 2, 3 then we get the multiples of 2009 which are 2009, 4018 and so on.
2009 is a Composite number or Prime number
About the number 2009:
- 2009 has more than two factors which are 1, 7, 41, 49, 287 and 2009 and hence it is the composite number.
- 2009 is the odd composite number and it is not the perfect square also.
- If we divide 2009 by 1, 7, 41, 49, 287 and 2009 then we get remainder as zero. Hence, 1, 7, 41, 49, 287 and 2009 are the factors of 2009
Note:
- 2009 is not the perfect square.
- Factors of 2009: 1, 7, 41, 49, 287 and 2009
- Prime factors of 2009: 7, 41
Conclusion:
- 2009 is the composite number which has factors 1, 7, 41, 49, 287 and 2009.
- And hence, 2009 is not the prime number.
Multiple Choice Questions:
1) 2009 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 2009 are
a) 1
b) 7, 41
c) 1, 49, 287 and 2009
d) 1, 7, 41, 49, 287 and 2009
Ans: c) 1, 49, 287 and 2009
3) 2009 is the odd composite number because
a) It has factors 1, 7, 41, 49, 287 and 2009
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all