Is 3848 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 3848 is composite or not first we have to find its factors.
Contents
Factors of 3848:
- If we have taken numbers from 1, 2, 3…for checking factors of 3848, we found that 3848 has factors 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848. Hence, we must say that 3848 is a composite number.
- Thus, 3848 is the composite number.
- If we multiply 3848 by 1, 2, 3 then we get the multiples of 3848 which are 3848, 7696 and so on.
About the number 3848:
- 3848 has more than two factors which are 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848 and hence it is the composite number.
- 3848 is the even composite number and it is not the perfect square also.
- If we divide 3848 by, 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848 then we get remainder as zero. Hence, 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848 are the factors of 3848.
Note:
- 3848 is not the perfect square.
- Factors of 3848: 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848
- Prime factors of 3848: 2, 13, 37
Conclusion:
- 3848 is the composite number which has factors, 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848
- And hence, 3848 is not the prime number.
Multiple Choice Questions:
1) 3848 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 3848 are
a) 3848
b) 2, 13, 37
c) 4, 8, 26, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848
d) 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848
Ans: c) 4, 8, 26, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848
3) 3848 is composite number because
a) It has factors 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924 and 3848
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b