Is 1152 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 1152 is composite or not first we have to find its factors.
Factors of 1152:
- If we have taken numbers from 1, 2, 3…for checking factors of 1152, we found that 1152 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152. Hence, we must say that 1152 is a composite number.
- Thus, 1152 is the composite number.
- If we multiply 1152 by 1, 2, 3 then we get the multiples of 1152 which are 1152, 2304 and so on.
About the number 1152:
- 1152 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152 and hence it is the composite number.
- 1152 is the even composite number and it is not the perfect square also.
- If we divide 1152 by 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152 are the factors of 1152.
Note:
- 1152 is not the perfect square.
- Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
- Prime factors of 1152: 2, 3
Conclusion:
- 1152 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
- And hence, 1152 is not the prime number.
Multiple Choice Questions:
1) 1152 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1152 are
a) 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
b) 2, 3
c) 1, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
Ans: a) 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
3) 1152 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b