Is 3688 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 3688 is composite or not first we have to find its factors.
Contents
Factors of 3688:
- If we have taken numbers from 1, 2, 3…for checking factors of 3688, we found that 3688 has factors 1, 2, 4, 8, 461, 922, 1844 and 3688. Hence, we must say that 3688 is a composite number.
- Thus, 3688 is the composite number.
- If we multiply 3688 by 1, 2, 3 then we get the multiples of 3688 which are 3688, 7376 and so on.
About the number 3688:
- 3688 has more than two factors which are 1, 2, 4, 8, 461, 922, 1844 and 3688 and hence it is the composite number.
- 3688 is the even composite number and it is not the perfect square also.
- If we divide 3688 by, 1, 2, 4, 8, 461, 922, 1844 and 3688 then we get remainder as zero. Hence, 1, 2, 4, 8, 461, 922, 1844 and 3688 are the factors of 3688.
Note:
- 3688 is not the perfect square.
- Factors of 3688: 1, 2, 4, 8, 461, 922, 1844 and 3688
- Prime factors of 3688: 2, 461
Conclusion:
- 3688 is the composite number which has factors, 1, 2, 4, 8, 461, 922, 1844 and 3688
- And hence, 3688 is not the prime number.
Multiple Choice Questions:
1) 3688 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 3688 are
a) 3688
b) 2, 461
c) 4, 8, 922, 1844 and 3688
d) 1, 2, 4, 8, 461, 922, 1844 and 3688
Ans: b) 2, 461
3) 3688 is even composite number because
a) It has factors 1, 2, 4, 8, 461, 922, 1844 and 3688
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all