Is 585 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 585 is composite or not first we have to find its factors.
Contents
Factors of 585:
- If we have taken numbers from 1, 2, 3…for checking factors of 585, we found that 585 has factors 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585. Hence, we must say that 585 is a composite number.
- Thus, 585 is the composite number.
- If we multiply 585 by 1, 2, 3 then we get the multiples of 585 which are 585, 1170 and so on.
585 is a Composite number or Prime number
About the number 585:
- 585 has more than two factors which are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585 and hence it is the composite number.
- 585 is the odd composite number and it is not the perfect square also.
- If we divide 585 by 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585 then we get remainder as zero. Hence, 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585 are the factors of 585.
Note:
- 585 is not the perfect square.
- Factors of 585: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585
- Prime factors of 585: 3, 5, 13
Conclusion:
- 585 is the composite number which has factors 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585.
- And hence, 585 is not the prime number.
Multiple Choice Questions:
1) 585 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 585 are
a) 1
b) 3, 5, 13
c) 1, 9, 15, 39, 45, 65, 117, 195 and 585
d) 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585
Ans: b) 3, 5, 13
3) 585 is the odd composite number because
a) It has factors 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195 and 585
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c