Is 1682 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 1682 is composite or not first we have to find its factors.
Contents
Factors of 1682:
- If we have taken numbers from 1, 2, 3…for checking factors of 1682, we found that 1682 has factors 1, 2, 29, 58, 841 and 1682. Hence, we must say that 1682 is a composite number.
- Thus, 1682 is the composite number.
- If we multiply 1682 by 1, 2, 3 then we get the multiples of 1682 which are 1682, 3364 and so on.
About the number 1682:
- 1682 has more than two factors which are 1, 2, 29, 58, 841 and 1682 and hence it is the composite number.
- 1682 is the even composite number and it is not the perfect square also.
- If we divide 1682 by 1, 2, 29, 58, 841 and 1682 then we get remainder as zero. Hence, 1, 2, 29, 58, 841 and 1682 are the factors of 1682.
Note:
- 1682 is not the perfect square.
- Factors of 1682: 1, 2, 29, 58, 841 and 1682
- Prime factors of 1682: 2, 29
Conclusion:
- 1682 is the composite number which has factors 1, 2, 29, 58, 841 and 1682
- And hence, 1682 is not the prime number.
Multiple Choice Questions:
1) 1682 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 1682 are
a) 1682
b) 2, 29
c) 1, 58, 841 and 1682
d) 1, 2, 29, 58, 841 and 1682
Ans: b) 2, 29
3) 1682 is even composite number because
a) It has factors 1, 2, 29, 58, 841 and 1682
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all