Is 3924 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 3924 is composite or not first we have to find its factors.
Contents
Factors of 3924:
- If we have taken numbers from 1, 2, 3…for checking factors of 3924, we found that 3924 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924. Hence, we must say that 3924 is a composite number.
- Thus, 3924 is the composite number.
- If we multiply 3924 by 1, 2, 3 then we get the multiples of 3924 which are 3924, 7848 and so on.
About the number 3924:
- 3924 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924 and hence it is the composite number.
- 3924 is the even composite number and it is not the perfect square also.
- If we divide 3924 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924 are the factors of 3924.
Note:
- 3924 is not the perfect square.
- Factors of 3924: 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924
- Prime factors of 3924: 2, 3, 109
Conclusion:
- 3924 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924
- And hence, 3924 is not the prime number.
Multiple Choice Questions:
1) 3924 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 3924 are
a) 3924
b) 2, 3, 109
c) 4, 6, 9, 12, 18, 36, 218, 327, 436, 654, 981, 1308, 1962 and 3924
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924
Ans: c) 4, 6, 9, 12, 18, 36, 218, 327, 436, 654, 981, 1308, 1962 and 3924
3) 3924 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962 and 3924
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b