Is 1140 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 1140 is composite or not first we have to find its factors.
Factors of 1140:
- If we have taken numbers from 1, 2, 3…for checking factors of 1140, we found that 1140 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140. Hence, we must say that 1140 is a composite number.
- Thus, 1140 is the composite number.
- If we multiply 1140 by 1, 2, 3 then we get the multiples of 1140 which are 1140, 2280 and so on.
About the number 1140:
- 1140 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140 and hence it is the composite number.
- 1140 is the even composite number and it is not the perfect square also.
- If we divide 1140 by 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140 are the factors of 1140.
Note:
- 1140 is not the perfect square.
- Factors of 1140: 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
- Prime factors of 1140: 2, 3, 5, 19
Conclusion:
- 1140 is the composite number which has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
- And hence, 1140 is not the prime number.
Multiple Choice Questions:
1) 1140 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 1140 are
a) 4, 6, 10, 12, 15, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
b) 2, 3, 5, 19
c) 1, 4, 6, 10, 12, 15, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
Ans: a) 4, 6, 10, 12, 15, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
3) 1140 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570 and 1140
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b