Is 3876 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 3876 is composite or not first we have to find its factors.
Contents
Factors of 3876:
- If we have taken numbers from 1, 2, 3…for checking factors of 3876, we found that 3876 has factors 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876. Hence, we must say that 3876 is a composite number.
- Thus, 3876 is the composite number.
- If we multiply 3876 by 1, 2, 3 then we get the multiples of 3876 which are 3876, 7752 and so on.
About the number 3876:
- 3876 has more than two factors which are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876 and hence it is the composite number.
- 3876 is the even composite number and it is not the perfect square also.
- If we divide 3876 by, 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876 are the factors of 3876.
Note:
- 3876 is not the perfect square.
- Factors of 3876: 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876
- Prime factors of 3876: 2, 3, 17, 19
Conclusion:
- 3876 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876
- And hence, 3876 is not the prime number.
Multiple Choice Questions:
1) 3876 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 3876 are
a) 3876
b) 2, 3, 17, 19
c) 4, 6, 12, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876
d) 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876
Ans: c) 4, 6, 12, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876
3) 3876 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b