Is 3684 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 3684 is composite or not first we have to find its factors.
Contents
Factors of 3684:
- If we have taken numbers from 1, 2, 3…for checking factors of 3684, we found that 3684 has factors 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684. Hence, we must say that 3684 is a composite number.
- Thus, 3684 is the composite number.
- If we multiply 3684 by 1, 2, 3 then we get the multiples of 3684 which are 3684, 7368 and so on.
About the number 3684:
- 3684 has more than two factors which are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684 and hence it is the composite number.
- 3684 is the even composite number and it is not the perfect square also.
- If we divide 3684 by, 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684 are the factors of 3684.
Note:
- 3684 is not the perfect square.
- Factors of 3684: 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684
- Prime factors of 3684: 2, 3, 307
Conclusion:
- 3684 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684
- And hence, 3684 is not the prime number.
Multiple Choice Questions:
1) 3684 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3684 are
a) 3684
b) 2, 3, 307
c) 4, 6, 12, 614, 921, 1228, 1842 and 3684
d) 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684
Ans: b) 2, 3, 307
3) 3684 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842 and 3684
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all