Is 3978 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 3978 is composite or not first we have to find its factors.
Contents
Factors of 3978:
- If we have taken numbers from 1, 2, 3…for checking factors of 3978, we found that 3978 has factors 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978. Hence, we must say that 3978 is a composite number.
- Thus, 3978 is the composite number.
- If we multiply 3978 by 1, 2, 3 then we get the multiples of 3978 which are 3978, 7956 and so on.
About the number 3978:
- 3978 has more than two factors which are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978 and hence it is the composite number.
- 3978 is the even composite number and it is not the perfect square also.
- If we divide 3978 by, 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978 are the factors of 3978.
Note:
- 3978 is not the perfect square.
- Factors of 3978: 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978
- Prime factors of 3978: 2, 3, 13, 17
Conclusion:
- 3978 is the composite number which has factors, 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978
- And hence, 3978 is not the prime number.
Multiple Choice Questions:
1) 3978 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 3978 are
a) 3978
b) 2, 3, 13, 17
c) 6, 9, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978
d) 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978
Ans: c) 6, 9,18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978
3) 3978 is composite number because
a) It has factors 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b