Is 1683 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 1683 is composite or not first we have to find its factors.
Contents
Factors of 1683:
- If we have taken numbers from 1, 2, 3…for checking factors of 1683, we found that 1683 has factors 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683. Hence, we must say that 1683 is a composite number.
- Thus, 1683 is the composite number.
- If we multiply 1683 by 1, 2, 3 then we get the multiples of 1683 which are 1683, 3366 and so on.
1683 is a Composite number or Prime number
About the number 1683:
- 1683 has more than two factors which are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683 and hence it is the composite number.
- 1683 is the odd composite number and it is not the perfect square also.
- If we divide 1683 by 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683 then we get remainder as zero. Hence, 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683 are the factors of 1683
Note:
- 1683 is not the perfect square.
- Factors of 1683: 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683
- Prime factors of 1683: 3, 11, 17
Conclusion:
- 1683 is the composite number which has factors 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683.
- And hence, 1683 is not the prime number.
Multiple Choice Questions:
1) 1683 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 1683 are
a) 1
b) 3, 11, 17
c) 1, 9, 33, 51, 99, 153, 187, 561 and 1683
d) 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683
Ans: b) 1, 9, 33, 51, 99, 153, 187, 561 and 1683
3) 1683 is the odd composite number because
a) It has factors 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561 and 1683
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all