Is 3284 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 3284 is composite or not first we have to find its factors.
Contents
Factors of 3284:
- If we have taken numbers from 1, 2, 3…for checking factors of 3284, we found that 3284 has factors 1, 2, 4, 821, 1642 and 3284. Hence, we must say that 3284 is a composite number.
- Thus, 3284 is the composite number.
- If we multiply 3284 by 1, 2, 3 then we get the multiples of 3284 which are 3284, 6568 and so on.
About the number 3284:
- 3284 has more than two factors which are 1, 2, 4, 821, 1642 and 3284 and hence it is the composite number.
- 3284 is the even composite number and it is not the perfect square also.
- If we divide 3284 by, 1, 2, 4, 821, 1642 and 3284 then we get remainder as zero. Hence, 1, 2, 4, 821, 1642 and 3284 are the factors of 3284.
Note:
- 3284 is not the perfect square.
- Factors of 3284: 1, 2, 4, 821, 1642 and 3284
- Prime factors of 3284: 2, 821
Conclusion:
- 3284 is the composite number which has factors, 1, 2, 4, 821, 1642 and 3284
- And hence, 3284 is not the prime number.
Multiple Choice Questions:
1) 3284 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 3284 are
a) 3284
b) 2, 821
c) 4, 1642 and 3284
d) 1, 2, 4, 821, 1642 and 3284
Ans: b) 2, 821
3) 3284 is composite number because
a) It has factors 1, 2, 4, 821, 1642 and 3284
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 821, 1642 and 3284