Is 3808 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 3808 is composite or not first we have to find its factors.
Contents
Factors of 3808:
- If we have taken numbers from 1, 2, 3…for checking factors of 3808, we found that 3808 has factors 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808. Hence, we must say that 3808 is a composite number.
- Thus, 3808 is the composite number.
- If we multiply 3808 by 1, 2, 3 then we get the multiples of 3808 which are 3808, 7616 and so on.
About the number 3808:
- 3808 has more than two factors which are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808 and hence it is the composite number.
- 3808 is the even composite number and it is not the perfect square also.
- If we divide 3808 by, 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808 are the factors of 3808.
Note:
- 3808 is not the perfect square.
- Factors of 3808: 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808
- Prime factors of 3808: 2, 7, 17
Conclusion:
- 3808 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808
- And hence, 3808 is not the prime number.
Multiple Choice Questions:
1) 3808 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 3808 are
a) 3808
b) 2, 7, 17
c) 4, 8, 14, 16, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808
d) 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808
Ans: c) 4, 8, 14, 16, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808
3) 3808 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904 and 3808
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b