Is 3852 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 3852 is composite or not first we have to find its factors.
Contents
Factors of 3852:
- If we have taken numbers from 1, 2, 3…for checking factors of 3852, we found that 3852 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852. Hence, we must say that 3852 is a composite number.
- Thus, 3852 is the composite number.
- If we multiply 3852 by 1, 2, 3 then we get the multiples of 3852 which are 3852, 7704 and so on.
About the number 3852:
- 3852 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852 and hence it is the composite number.
- 3852 is the even composite number and it is not the perfect square also.
- If we divide 3852 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852 are the factors of 3852.
Note:
- 3852 is not the perfect square.
- Factors of 3852: 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852
- Prime factors of 3852: 2, 3, 107
Conclusion:
- 3852 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852
- And hence, 3852 is not the prime number.
Multiple Choice Questions:
1) 3852 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 3852 are
a) 3852
b) 2, 3, 107
c) 4, 6, 9, 12, 18, 36, 214, 321, 428, 642, 963, 1284, 1926 and 3852
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852
Ans: c) 4, 6, 9, 12, 18, 36, 214, 321, 428, 642, 963, 1284, 1926 and 3852
3) 3852 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926 and 3852
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b