Is 3286 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 3286 is composite or not first we have to find its factors.
Contents
Factors of 3286:
- If we have taken numbers from 1, 2, 3…for checking factors of 3286, we found that 3286 has factors 1, 2, 31, 53, 62, 106, 1643 and 3286. Hence, we must say that 3286 is a composite number.
- Thus, 3286 is the composite number.
- If we multiply 3286 by 1, 2, 3 then we get the multiples of 3286 which are 3286, 6572 and so on.
About the number 3286:
- 3286 has more than two factors which are 1, 2, 31, 53, 62, 106, 1643 and 3286 and hence it is the composite number.
- 3286 is the even composite number and it is not the perfect square also.
- If we divide 3286 by, 1, 2, 31, 53, 62, 106, 1643 and 3286 then we get remainder as zero. Hence, 1, 2, 31, 53, 62, 106, 1643 and 3286 are the factors of 3286.
Note:
- 3286 is not the perfect square.
- Factors of 3286: 1, 2, 31, 53, 62, 106, 1643 and 3286
- Prime factors of 3286: 2, 31, 53
Conclusion:
- 3286 is the composite number which has factors, 1, 2, 31, 53, 62, 106, 1643 and 3286
- And hence, 3286 is not the prime number.
Multiple Choice Questions:
1) 3286 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3286 are
a) 3286
b) 2, 31, 53
c) 62, 106, 1643 and 3286
d) 1, 2, 31, 53, 62, 106, 1643 and 3286
Ans: b) 2, 31, 53
3) 3286 is composite number because
a) It has factors 1, 2, 31, 53, 62, 106, 1643 and 3286
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 31, 53, 62, 106, 1643 and 3286