Is 3804 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 3804 is composite or not first we have to find its factors.
Contents
Factors of 3804:
- If we have taken numbers from 1, 2, 3…for checking factors of 3804, we found that 3804 has factors 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804. Hence, we must say that 3804 is a composite number.
- Thus, 3804 is the composite number.
- If we multiply 3804 by 1, 2, 3 then we get the multiples of 3804 which are 3804, 7608 and so on.
About the number 3804:
- 3804 has more than two factors which are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804 and hence it is the composite number.
- 3804 is the even composite number and it is not the perfect square also.
- If we divide 3804 by, 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804 are the factors of 3804.
Note:
- 3804 is not the perfect square.
- Factors of 3804: 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804
- Prime factors of 3804: 2, 3, 317
Conclusion:
- 3804 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804
- And hence, 3804 is not the prime number.
Multiple Choice Questions:
1) 3804 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 3804 are
a) 3804
b) 2, 3, 317
c) 4, 6, 12, 634, 951, 1268, 1902 and 3804
d) 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804
Ans: c) 4, 6, 12, 634, 951, 1268, 1902 and 3804
3) 3804 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902 and 3804
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b