Is 1755 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 1755 is composite or not first we have to find its factors.
Contents
Factors of 1755:
- If we have taken numbers from 1, 2, 3…for checking factors of 1755, we found that 1755 has factors 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755. Hence, we must say that 1755 is a composite number.
- Thus, 1755 is the composite number.
- If we multiply 1755 by 1, 2, 3 then we get the multiples of 1755 which are 1755, 3510 and so on.
1755 is a Composite number or Prime number
About the number 1755:
- 1755 has more than two factors which are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755 and hence it is the composite number.
- 1755 is the odd composite number and it is not the perfect square also.
- If we divide 1755 by 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755 then we get remainder as zero. Hence, 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755 are the factors of 1755
Note:
- 1755 is not the perfect square.
- Factors of 1755: 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755
- Prime factors of 1755: 3, 5, 13
Conclusion:
- 1755 is the composite number which has factors 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755.
- And hence, 1755 is not the prime number.
Multiple Choice Questions:
1) 1755 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 1755 are
a) 1
b) 3, 5, 13
c) 1, 9, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755
d) 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755
Ans: b) 1, 9, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755
3) 1755 is the odd composite number because
a) It has factors 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585 and 1755
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all