Is 2997 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 2997 is composite or not first we have to find its factors.
Contents
Factors of 2997:
- If we have taken numbers from 1, 2, 3…for checking factors of 2997, we found that 2997 has factors 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997. Hence, we must say that 2997 is a composite number.
- Thus, 2997 is the composite number.
- If we multiply 2997 by 1, 2, 3 then we get the multiples of 2997 which are 2997, 5994 and so on.
2997 is a Composite number or Prime number
About the number 2997:
- 2997 has more than two factors which are 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997 and hence it is the composite number.
- 2997 is the odd composite number and it is not the perfect square also.
- If we divide 2997 by 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997 then we get remainder as zero. Hence 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997 are the factors of 2997
Note:
- 2997 is not the perfect square.
- Factors of 2997: 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997
- Prime factors of 2997: 3, 37
Conclusion:
- 2997 is the composite number which has factors 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997.
- And hence, 2997 is not the prime number.
Multiple Choice Questions:
1) 2997 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 2997 are
a) 1
b) 3, 37
c) 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997
d) 1, 9, 27, 81, 111, 333, 999 and 2997
Ans: d) 1, 9, 27, 81, 111, 333, 999 and 2997
3) 2997 is the odd composite number because
a) It has factors 1, 3, 9, 27, 37, 81, 111, 333, 999 and 2997
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all