Is 1440 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 1440 is composite or not first we have to find its factors.
Factors of 1440:
- If we have taken numbers from 1, 2, 3…for checking factors of 1440, we found that 1440 has factors 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440. Hence, we must say that 1440 is a composite number.
- Thus, 1440 is the composite number.
- If we multiply 1440 by 1, 2, 3 then we get the multiples of 1440 which are 1440, 2880 and so on.
About the number 1440:
- 1440 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440 and hence it is the composite number.
- 1440 is the even composite number and it is not the perfect square also.
- If we divide 1440 by 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440 are the factors of 1440.
Note:
- 1440 is not the perfect square.
- Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
- Prime factors of 1440: 2, 3, 5
Conclusion:
- 1440 is the composite number which has factors 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
- And hence, 1440 is not the prime number.
Multiple Choice Questions:
1) 1440 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 1440 are
a) 4, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
b) 2, 3, 5
c) 1, 4, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
d) 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
Ans: a) 4, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
3) 1440 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 96, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b