Is 1971 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 1971 is composite or not first we have to find its factors.
Contents
Factors of 1971:
- If we have taken numbers from 1, 2, 3…for checking factors of 1971, we found that 1971 has factors 1, 3, 9, 27, 73, 219, 657 and 1971. Hence, we must say that 1971 is a composite number.
- Thus, 1971 is the composite number.
- If we multiply 1971 by 1, 2, 3 then we get the multiples of 1971 which are 1971, 3942 and so on.
1971 is a Composite number or Prime number
About the number 1971:
- 1971 has more than two factors which are 1, 3, 9, 27, 73, 219, 657 and 1971 and hence it is the composite number.
- 1971 is the odd composite number and it is not the perfect square also.
- If we divide 1971 by 1, 3, 9, 27, 73, 219, 657 and 1971 then we get remainder as zero. Hence, 1, 3, 9, 27, 73, 219, 657 and 1971 are the factors of 1971
Note:
- 1971 is not the perfect square.
- Factors of 1971: 1, 3, 9, 27, 73, 219, 657 and 1971
- Prime factors of 1971: 3, 73
Conclusion:
- 1971 is the composite number which has factors 1, 3, 9, 27, 73, 219, 657 and 1971.
- And hence, 1971 is not the prime number.
Multiple Choice Questions:
1) 1971 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 1971 are
a) 1
b) 3, 73
c) 1, 9, 27, 219, 657 and 1971
d) 1, 3, 9, 27, 73, 219, 657 and 1971
Ans: c) 1, 9, 27, 219, 657 and 1971
3) 1971 is the odd composite number because
a) It has factors 1, 3, 9, 27, 73, 219, 657 and 1971
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all