Is 3774 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 3774 is composite or not first we have to find its factors.
Contents
Factors of 3774:
- If we have taken numbers from 1, 2, 3…for checking factors of 3774, we found that 3774 has factors 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774. Hence, we must say that 3774 is a composite number.
- Thus, 3774 is the composite number.
- If we multiply 3774 by 1, 2, 3 then we get the multiples of 3774 which are 3774, 7548 and so on.
About the number 3774:
- 3774 has more than two factors which are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774 and hence it is the composite number.
- 3774 is the even composite number and it is not the perfect square also.
- If we divide 3774 by, 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774 then we get remainder as zero. Hence, 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774 are the factors of 3774.
Note:
- 3774 is not the perfect square.
- Factors of 3774: 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774
- Prime factors of 3774: 2, 3, 17, 37
Conclusion:
- 3774 is the composite number which has factors, 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774
- And hence, 3774 is not the prime number.
Multiple Choice Questions:
1) 3774 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3774 are
a) 3774
b) 2, 3, 17, 37
c) 6, 34, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774
d) 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774
Ans: b) 2, 3, 17, 37
3) 3774 is even composite number because
a) It has factors 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887 and 3774
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all