Is 1687 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 1687 is composite or not first we have to find its factors.
Contents
Factors of 1687:
- If we have taken numbers from 1, 2, 3…for checking factors of 1687, we found that 1687 has factors 1, 7, 241 and 1687. Hence, we must say that 1687 is a composite number.
- Thus, 1687 is the composite number.
- If we multiply 1687 by 1, 2, 3 then we get the multiples of 1687 which are 1687, 3374 and so on.
1687 is a Composite number or Prime number
About the number 1687:
- 1687 has more than two factors which are 1, 7, 241 and 1687 and hence it is the composite number.
- 1687 is the odd composite number and it is not the perfect square also.
- If we divide 1687 by 1, 7, 241 and 1687 then we get remainder as zero. Hence, 1, 7, 241 and 1687 are the factors of 1687
Note:
- 1687 is not the perfect square.
- Factors of 1687: 1, 7, 241 and 1687
- Prime factors of 1687: 7, 241
Conclusion:
- 1687 is the composite number which has factors 1, 7, 241 and 1687.
- And hence, 1687 is not the prime number.
Multiple Choice Questions:
1) 1687 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 1687 are
a) 1
b) 7, 241
c) 1 and 1687
d) 1, 7, 241 and 1687
Ans: b) 1 and 1687
3) 1687 is the odd composite number because
a) It has factors 1, 7, 241 and 1687
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all