Is 1705 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 1705 is composite or not first we have to find its factors.
Contents
Factors of 1705:
- If we have taken numbers from 1, 2, 3…for checking factors of 1705, we found that 1705 has factors 1, 5, 11, 31, 55, 155, 341 and 1705. Hence, we must say that 1705 is a composite number.
- Thus, 1705 is the composite number.
- If we multiply 1705 by 1, 2, 3 then we get the multiples of 1705 which are 1705, 3410 and so on.
1705 is a Composite number or Prime number
About the number 1705:
- 1705 has more than two factors which are 1, 5, 11, 31, 55, 155, 341 and 1705 and hence it is the composite number.
- 1705 is the odd composite number and it is not the perfect square also.
- If we divide 1705 by 1, 5, 11, 31, 55, 155, 341 and 1705 then we get remainder as zero. Hence, 1, 5, 11, 31, 55, 155, 341 and 1705 are the factors of 1705
Note:
- 1705 is not the perfect square.
- Factors of 1705: 1, 5, 11, 31, 55, 155, 341 and 1705
- Prime factors of 1705: 5, 11, 31
Conclusion:
- 1705 is the composite number which has factors 1, 5, 11, 31, 55, 155, 341 and 1705.
- And hence, 1705 is not the prime number.
Multiple Choice Questions:
1) 1705 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1705 are
a) 1
b) 5, 11, 31
c) 1, 55, 155, 341 and 1705
d) 1, 5, 11, 31, 55, 155, 341 and 1705
Ans: b) 1, 55, 155, 341 and 1705
3) 1705 is the odd composite number because
a) It has factors 1, 5, 11, 31, 55, 155, 341 and 1705
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all