Is 3874 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 3874 is composite or not first we have to find its factors.
Contents
Factors of 3874:
- If we have taken numbers from 1, 2, 3…for checking factors of 3874, we found that 3874 has factors 1, 2, 13, 26, 149, 298, 1937 and 3874. Hence, we must say that 3874 is a composite number.
- Thus, 3874 is the composite number.
- If we multiply 3874 by 1, 2, 3 then we get the multiples of 3874 which are 3874, 7748 and so on.
About the number 3874:
- 3874 has more than two factors which are 1, 2, 13, 26, 149, 298, 1937 and 3874 and hence it is the composite number.
- 3874 is the even composite number and it is not the perfect square also.
- If we divide 3874 by, 1, 2, 13, 26, 149, 298, 1937 and 3874 then we get remainder as zero. Hence, 1, 2, 13, 26, 149, 298, 1937 and 3874 are the factors of 3874.
Note:
- 3874 is not the perfect square.
- Factors of 3874: 1, 2, 13, 26, 149, 298, 1937 and 3874
- Prime factors of 3874: 2, 13, 149
Conclusion:
- 3874 is the composite number which has factors, 1, 2, 13, 26, 149, 298, 1937 and 3874
- And hence, 3874 is not the prime number.
Multiple Choice Questions:
1) 3874 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 3874 are
a) 3874
b) 2, 13, 149
c) 26, 298, 1937 and 3874
d) 1, 2, 13, 26, 149, 298, 1937 and 3874
Ans: c) 26, 298, 1937 and 3874
3) 3874 is composite number because
a) It has factors 1, 2, 13, 26, 149, 298, 1937 and 3874
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b