Is 1647 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 1647 is composite or not first we have to find its factors.
Contents
Factors of 1647:
- If we have taken numbers from 1, 2, 3…for checking factors of 1647, we found that 1647 has factors 1, 3, 9, 27, 61, 183, 549 and 1647. Hence, we must say that 1647 is a composite number.
- Thus, 1647 is the composite number.
- If we multiply 1647 by 1, 2, 3 then we get the multiples of 1647 which are 1647, 3294 and so on.
1647 is a Composite number or Prime number
About the number 1647:
- 1647 has more than two factors which are 1, 3, 9, 27, 61, 183, 549 and 1647 and hence it is the composite number.
- 1647 is the odd composite number and it is not the perfect square also.
- If we divide 1647 by 1, 3, 9, 27, 61, 183, 549 and 1647 then we get remainder as zero. Hence, 1, 3, 9, 27, 61, 183, 549 and 1647 are the factors of 1647
Note:
- 1647 is not the perfect square.
- Factors of 1647: 1, 3, 9, 27, 61, 183, 549 and 1647
- Prime factors of 1647: 3, 61
Conclusion:
- 1647 is the composite number which has factors 1, 3, 9, 27, 61, 183, 549 and 1647.
- And hence, 1647 is not the prime number.
Multiple Choice Questions:
1) 1647 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 1647 are
a) 1
b) 3, 61
c) 1, 9, 27, 183, 549 and 1647
d) 1, 3, 9, 27, 61, 183, 549 and 1647
Ans: b) 1, 9, 27, 183, 549 and 1647
3) 1647 is the odd composite number because
a) It has factors 1, 3, 9, 27, 61, 183, 549 and 1647
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all