Is 3912 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 3912 is composite or not first we have to find its factors.
Contents
Factors of 3912:
- If we have taken numbers from 1, 2, 3…for checking factors of 3912, we found that 3912 has factors 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912. Hence, we must say that 3912 is a composite number.
- Thus, 3912 is the composite number.
- If we multiply 3912 by 1, 2, 3 then we get the multiples of 3912 which are 3912, 7824 and so on.
About the number 3912:
- 3912 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912 and hence it is the composite number.
- 3912 is the even composite number and it is not the perfect square also.
- If we divide 3912 by, 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912 are the factors of 3912.
Note:
- 3912 is not the perfect square.
- Factors of 3912: 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912
- Prime factors of 3912: 2, 3, 163
Conclusion:
- 3912 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912
- And hence, 3912 is not the prime number.
Multiple Choice Questions:
1) 3912 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 3912 are
a) 3912
b) 2, 3, 163
c) 4, 6, 8, 12, 24, 326, 489, 652, 978, 1304, 1956 and 3912
d) 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912
Ans: c) 4, 6, 8, 12, 24, 326, 489, 652, 978, 1304, 1956 and 3912
3) 3912 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956 and 3912
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b