Is 1120 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 1120 is composite or not first we have to find its factors.
Factors of 1120:
- If we have taken numbers from 1, 2, 3…for checking factors of 1120, we found that 1120 has factors 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120. Hence, we must say that 1120 is a composite number.
- Thus, 1120 is the composite number.
- If we multiply 1120 by 1, 2, 3 then we get the multiples of 1120 which are 1120, 2240 and so on.
About the number 1120:
- 1120 has more than two factors which are 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120 and hence it is the composite number.
- 1120 is the even composite number and it is not the perfect square also.
- If we divide 1120 by 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120 are the factors of 1120.
Note:
- 1120 is not the perfect square.
- Factors of 1120: 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
- Prime factors of 1120: 2, 5, 7
Conclusion:
- 1120 is the composite number which has factors 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
- And hence, 1120 is not the prime number.
Multiple Choice Questions:
1) 1120 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 1120 are
a) 4, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
b) 2, 5, 7
c) 1, 4,8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
d) 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
Ans: a) 4, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
3) 1120 is composite number because
a) It has factors 1, 2, 4, 5, 7, 8, 10, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560 and 1120
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b