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