Is 1804 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 1804 is composite or not first we have to find its factors.
Contents
Factors of 1804:
- If we have taken numbers from 1, 2, 3…for checking factors of 1804, we found that 1804 has factors 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804. Hence, we must say that 1804 is a composite number.
- Thus, 1804 is the composite number.
- If we multiply 1804 by 1, 2, 3 then we get the multiples of 1804 which are 1804, 3608 and so on.
About the number 1804:
- 1804 has more than two factors which are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804 and hence it is the composite number.
- 1804 is the even composite number and it is not the perfect square also.
- If we divide 1804 by, 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804 then we get remainder as zero. Hence, 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804 are the factors of 1804.
Note:
- 1804 is not the perfect square.
- Factors of 1804: 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804
- Prime factors of 1804: 2, 11, 41
Conclusion:
- 1804 is the composite number which has factors 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804
- And hence, 1804 is not the prime number.
Multiple Choice Questions:
1) 1804 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 1804 are
a) 1804
b) 2, 11, 41
c) 1, 4, 22, 44, 82, 164, 451, 902 and 1804
d) 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804
Ans: c) 1, 4, 22, 44, 82, 164, 451, 902 and 1804
3) 1804 is composite number because
a) It has factors 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902 and 1804