Is 2240 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 2240 is composite or not first we have to find its factors.
Contents
Factors of 2240:
- If we have taken numbers from 1, 2, 3…for checking factors of 2240, we found that 2240 has factors 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240. Hence, we must say that 2240 is a composite number.
- Thus, 2240 is the composite number.
- If we multiply 2240 by 1, 2, 3 then we get the multiples of 2240 which are 2240, 4480 and so on.
About the number 2240:
- 2240 has more than two factors which are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240 and hence it is the composite number.
- 2240 is the even composite number and it is not the perfect square also.
- If we divide 2240 by, 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240 are the factors of 2240.
Note:
- 2240 is not the perfect square.
- Factors of 2240: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240
- Prime factors of 2240: 2, 5, 7
Conclusion:
- 2240 is the composite number which has factors 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240
- And hence, 2240 is not the prime number.
Multiple Choice Questions:
1) 2240 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2240 are
a) 2240
b) 2, 5, 7
c) 1, 4, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240
d) 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240
Ans: b) 2, 5, 7
3) 2240 is composite number because
a) It has factors 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120 and 2240
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b