Is 384 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 384 is composite or not first we have to find its factors.
Contents
Factors of 384:
- If we have taken numbers from 1, 2, 3…for checking factors of 384, we found that 384 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and384. Hence, we must say that 384 is a composite number.
- Thus, 384 is the composite umber.
- If we multiply 384 by 1, 2, 3 then we get the multiples of 384 which are 384, 768 and so on.
About the number 384:
- 384 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384 and hence it is the composite number.
- 384 is the even composite number and it is not the perfect square also.
- If we divide 384 by 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384 are the factors of 384.
Note:
- 384 is not the perfect square.
- Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384
- Prime factors of 384: 2, 3
Conclusion:
- 384 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192
- And hence, 384 is not the prime number.
Multiple Choice Questions:
1) 384 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The non-prime factors of a composite number 384 are
a) 2
b) 2, 3
c) 1, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384
Ans: c) 1, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384
3) 384 is the even composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: d) both b and c