Is 1688 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 1688 is composite or not first we have to find its factors.
Contents
Factors of 1688:
- If we have taken numbers from 1, 2, 3…for checking factors of 1688, we found that 1688 has factors 1, 2, 4, 8, 211, 422, 844 and 1688. Hence, we must say that 1688 is a composite number.
- Thus, 1688 is the composite number.
- If we multiply 1688 by 1, 2, 3 then we get the multiples of 1688 which are 1688, 3376 and so on.
About the number 1688:
- 1688 has more than two factors which are 1, 2, 4, 8, 211, 422, 844 and 1688 and hence it is the composite number.
- 1688 is the even composite number and it is not the perfect square also.
- If we divide 1688 by 1, 2, 4, 8, 211, 422, 844 and 1688 then we get remainder as zero. Hence, 1, 2, 4, 8, 211, 422, 844 and 1688 are the factors of 1688.
Note:
- 1688 is not the perfect square.
- Factors of 1688: 1, 2, 4, 8, 211, 422, 844 and 1688
- Prime factors of 1688: 2, 211
Conclusion:
- 1688 is the composite number which has factors 1, 2, 4, 8, 211, 422, 844 and 1688
- And hence, 1688 is not the prime number.
Multiple Choice Questions:
1) 1688 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1688 are
a) 1688
b) 2, 211
c) 1, 4, 8, 422, 844 and 1688
d) 1, 2, 4, 8, 211, 422, 844 and 1688
Ans: c) 1, 4, 8, 422, 844 and 1688
3) 1688 is composite number because
a) It has factors 1, 2, 4, 8, 211, 422, 844 and 1688
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 8, 211, 422, 844 and 1688