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