Is 3864 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 3864 is composite or not first we have to find its factors.
Factors of 3864:
- If we have taken numbers from 1, 2, 3…for checking factors of 3864, we found that 3864 has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864. Hence, we must say that 3864 is a composite number.
- Thus, 3864 is the composite number.
- If we multiply 3864 by 1, 2, 3 then we get the multiples of 3864 which are 3864, 7728 and so on.
About the number 3864:
- 3864 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864 and hence it is the composite number.
- 3864 is the even composite number and it is not the perfect square also.
- If we divide 3864 by, 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864 are the factors of 3864.
Note:
- 3864 is not the perfect square.
- Factors of 3864: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864
- Prime factors of 3864: 2, 3, 7, 23
Conclusion:
- 3864 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864
- And hence, 3864 is not the prime number.
Multiple Choice Questions:
1) 3864 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 3864 are
a) 3864
b) 2, 3, 7, 23
c) 4, 6, 8, 12, 14, 21, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864
d) 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864
Ans: c) 4, 6, 8, 12, 14, 21, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864
3) 3864 is composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932 and 3864
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b