Is 2967 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 2967 is composite or not first we have to find its factors.
Contents
Factors of 2967:
- If we have taken numbers from 1, 2, 3…for checking factors of 2967, we found that 2967 has factors 1, 3, 23, 43, 69, 129, 989 and 2967. Hence, we must say that 2967 is a composite number.
- Thus, 2967 is the composite number.
- If we multiply 2967 by 1, 2, 3 then we get the multiples of 2967 which are 2967, 5934 and so on.
2967 is a Composite number or Prime number
About the number 2967:
- 2967 has more than two factors which are 1, 3, 23, 43, 69, 129, 989 and 2967 and hence it is the composite number.
- 2967 is the odd composite number and it is not the perfect square also.
- If we divide 2967 by 1, 3, 23, 43, 69, 129, 989 and 2967 then we get remainder as zero. Hence 1, 3, 23, 43, 69, 129, 989 and 2967 are the factors of 2967
Note:
- 2967 is not the perfect square.
- Factors of 2967: 1, 3, 23, 43, 69, 129, 989 and 2967
- Prime factors of 2967: 3, 23, 43
Conclusion:
- 2967 is the composite number which has factors 1, 3, 23, 43, 69, 129, 989 and 2967.
- And hence, 2967 is not the prime number.
Multiple Choice Questions:
1) 2967 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 2967 are
a) 1
b) 3, 23, 43
c) 1, 3, 23, 43, 69, 129, 989 and 2967
d) 1, 69, 129, 989 and 2967
Ans: d) 1, 69, 129, 989 and 2967
3) 2967 is the odd composite number because
a) It has factors 1, 3, 23, 43, 69, 129, 989 and 2967
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all