Is 3834 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 3834 is composite or not first we have to find its factors.
Contents
Factors of 3834:
- If we have taken numbers from 1, 2, 3…for checking factors of 3834, we found that 3834 has factors 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834. Hence, we must say that 3834 is a composite number.
- Thus, 3834 is the composite number.
- If we multiply 3834 by 1, 2, 3 then we get the multiples of 3834 which are 3834, 7668 and so on.
About the number 3834:
- 3834 has more than two factors which are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834 and hence it is the composite number.
- 3834 is the even composite number and it is not the perfect square also.
- If we divide 3834 by, 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834 are the factors of 3834.
Note:
- 3834 is not the perfect square.
- Factors of 3834: 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834
- Prime factors of 3834: 2, 3, 71
Conclusion:
- 3834 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834
- And hence, 3834 is not the prime number.
Multiple Choice Questions:
1) 3834 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 3834 are
a) 3834
b) 2, 3, 71
c) 6, 9, 18, 27, 54, 142, 213, 426, 639, 1278, 1917 and 3834
d) 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834
Ans: c) 6, 9, 18, 27, 54, 142, 213, 426, 639, 1278, 1917 and 3834
3) 3834 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917 and 3834
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b