Is 3836 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 3836 is composite or not first we have to find its factors.
Contents
Factors of 3836:
- If we have taken numbers from 1, 2, 3…for checking factors of 3836, we found that 3836 has factors 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836. Hence, we must say that 3836 is a composite number.
- Thus, 3836 is the composite number.
- If we multiply 3836 by 1, 2, 3 then we get the multiples of 3836 which are 3836, 7672 and so on.
About the number 3836:
- 3836 has more than two factors which are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836 and hence it is the composite number.
- 3836 is the even composite number and it is not the perfect square also.
- If we divide 3836 by, 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836 then we get remainder as zero. Hence, 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836 are the factors of 3836.
Note:
- 3836 is not the perfect square.
- Factors of 3836: 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836
- Prime factors of 3836: 2, 7, 137
Conclusion:
- 3836 is the composite number which has factors, 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836
- And hence, 3836 is not the prime number.
Multiple Choice Questions:
1) 3836 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 3836 are
a) 3836
b) 2, 7, 137
c) 4, 14, 28, 274, 548, 959, 1918 and 3836
d) 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836
Ans: c) 4, 14, 28, 274, 548, 959, 1918 and 3836
3) 3836 is composite number because
a) It has factors 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918 and 3836
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b