Is 3906 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 3906 is composite or not first we have to find its factors.
Contents
Factors of 3906:
- If we have taken numbers from 1, 2, 3…for checking factors of 3906, we found that 3906 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906. Hence, we must say that 3906 is a composite number.
- Thus, 3906 is the composite number.
- If we multiply 3906 by 1, 2, 3 then we get the multiples of 3906 which are 3906, 7812 and so on.
About the number 3906:
- 3906 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906 and hence it is the composite number.
- 3906 is the even composite number and it is not the perfect square also.
- If we divide 3906 by, 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906 are the factors of 3906.
Note:
- 3906 is not the perfect square.
- Factors of 3906: 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906
- Prime factors of 3906: 2, 3, 7, 31
Conclusion:
- 3906 is the composite number which has factors, 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906
- And hence, 3906 is not the prime number.
Multiple Choice Questions:
1) 3906 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 3906 are
a) 3906
b) 2, 3, 7, 31
c) 6, 9, 14, 18, 21, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906
Ans: c) 6, 9, 14, 18, 21, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906
3) 3906 is composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b