Is 3956 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 3956 is composite or not first we have to find its factors.
Contents
Factors of 3956:
- If we have taken numbers from 1, 2, 3…for checking factors of 3956, we found that 3956 has factors 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956. Hence, we must say that 3956 is a composite number.
- Thus, 3956 is the composite number.
- If we multiply 3956 by 1, 2, 3 then we get the multiples of 3956 which are 3956, 7912 and so on.
About the number 3956:
- 3956 has more than two factors which are 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956 and hence it is the composite number.
- 3956 is the even composite number and it is not the perfect square also.
- If we divide 3956 by, 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956 then we get remainder as zero. Hence, 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956 are the factors of 3956.
Note:
- 3956 is not the perfect square.
- Factors of 3956: 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956
- Prime factors of 3956: 2, 23, 43
Conclusion:
- 3956 is the composite number which has factors, 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956
- And hence, 3956 is not the prime number.
Multiple Choice Questions:
1) 3956 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 3956 are
a) 3956
b) 2, 23, 43
c) 4, 46, 86, 92, 172, 989, 1978 and 3956
d) 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956
Ans: c) 4, 46, 86, 92, 172, 989, 1978 and 3956
3) 3956 is composite number because
a) It has factors 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978 and 3956
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b