Is 3904 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 3904 is composite or not first we have to find its factors.
Contents
Factors of 3904:
- If we have taken numbers from 1, 2, 3…for checking factors of 3904, we found that 3904 has factors 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904. Hence, we must say that 3904 is a composite number.
- Thus, 3904 is the composite number.
- If we multiply 3904 by 1, 2, 3 then we get the multiples of 3904 which are 3904, 7808 and so on.
About the number 3904:
- 3904 has more than two factors which are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904 and hence it is the composite number.
- 3904 is the even composite number and it is not the perfect square also.
- If we divide 3904 by, 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904 are the factors of 3904.
Note:
- 3904 is not the perfect square.
- Factors of 3904: 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904
- Prime factors of 3904: 2, 61
Conclusion:
- 3904 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904
- And hence, 3904 is not the prime number.
Multiple Choice Questions:
1) 3904 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 3904 are
a) 3904
b) 2, 61
c) 4, 8, 16, 32, 64, 122, 244, 488, 976, 1952 and 3904
d) 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904
Ans: c) 4, 8, 16, 32, 64, 122, 244, 488, 976, 1952 and 3904
3) 3904 is composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952 and 3904
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b