Is 1360 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 1360 is composite or not first we have to find its factors.
Contents
Factors of 1360:
- If we have taken numbers from 1, 2, 3…for checking factors of 1360, we found that 1360 has factors 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360. Hence, we must say that 1360 is a composite number.
- Thus, 1360 is the composite number.
- If we multiply 1360 by 1, 2, 3 then we get the multiples of 1360 which are 1360, 2720 and so on.
About the number 1360:
- 1360 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360 and hence it is the composite number.
- 1360 is the even composite number and it is not the perfect square also.
- If we divide 1360 by 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360 are the factors of 1360.
Note:
- 1360 is not the perfect square.
- Factors of 1360: 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360
- Prime factors of 1360: 2, 5, 17
Conclusion:
- 1360 is the composite number which has factors1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360
- And hence, 1360 is not the prime number.
Multiple Choice Questions:
1) 1360 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 1360 are
a) 4, 8, 10, 16, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360
b) 2, 5, 17
c) 1, 4, 8, 10, 16, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360
d) 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360
Ans: a) 4, 8, 10, 16, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360
3) 1360 is composite number because
a) It has factors1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680 and 1360
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b