Is 3009 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 3009 is composite or not first we have to find its factors.
Contents
Factors of 3009:
- If we have taken numbers from 1, 2, 3…for checking factors of 3009, we found that 3009 has factors 1, 3, 17, 51, 59, 177, 1003 and 3009. Hence, we must say that 3009 is a composite number.
- Thus, 3009 is the composite number.
- If we multiply 3009 by 1, 2, 3 then we get the multiples of 3009 which are 3009, 6018 and so on.
3009 is a Composite number or Prime number
About the number 3009:
- 3009 has more than two factors which are 1, 3, 17, 51, 59, 177, 1003 and 3009 and hence it is the composite number.
- 3009 is the odd composite number and it is not the perfect square also.
- If we divide 3009 by 1, 3, 17, 51, 59, 177, 1003 and 3009 then we get remainder as zero. Hence 1, 3, 17, 51, 59, 177, 1003 and 3009 are the factors of 3009
Note:
- 3009 is not the perfect square.
- Factors of 3009: 1, 3, 17, 51, 59, 177, 1003 and 3009
- Prime factors of 3009: 3, 17, 59
Conclusion:
- 3009 is the composite number which has factors 1, 3, 17, 51, 59, 177, 1003 and 3009.
- And hence, 3009 is not the prime number.
Multiple Choice Questions:
1) 3009 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3009 are
a) 1
b) 3, 17, 59
c) 1, 3, 17, 51, 59, 177, 1003 and 3009
d) 1, 51, 177, 1003 and 3009
Ans: d) 1, 51, 177, 1003 and 3009
3) 3009 is the odd composite number because
a) It has factors 1, 3, 17, 51, 59, 177, 1003 and 3009
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all