Is 1967 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 1967 is composite or not first we have to find its factors.
Contents
Factors of 1967:
- If we have taken numbers from 1, 2, 3…for checking factors of 1967, we found that 1967 has factors 1, 7, 281 and 1967. Hence, we must say that 1967 is a composite number.
- Thus, 1967 is the composite number.
- If we multiply 1967 by 1, 2, 3 then we get the multiples of 1967 which are 1967, 3934 and so on.
1967 is a Composite number or Prime number
About the number 1967:
- 1967 has more than two factors which are 1, 7, 281 and 1967 and hence it is the composite number.
- 1967 is the odd composite number and it is not the perfect square also.
- If we divide 1967 by 1, 7, 281 and 1967 then we get remainder as zero. Hence, 1, 7, 281 and 1967 are the factors of 1967
Note:
- 1967 is not the perfect square.
- Factors of 1967: 1, 7, 281 and 1967
- Prime factors of 1967: 7, 281
Conclusion:
- 1967 is the composite number which has factors 1, 7, 281 and 1967.
- And hence, 1967 is not the prime number.
Multiple Choice Questions:
1) 1967 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 1967 are
a) 1
b) 7, 281
c) 1 and 1967
d) 1, 7, 281 and 1967
Ans: c) 1 and 1967
3) 1967 is the odd composite number because
a) It has factors 1, 7, 281 and 1967
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all