Is 1305 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 1305 is composite or not first we have to find its factors.
Contents
Factors of 1305:
- If we have taken numbers from 1, 2, 3…for checking factors of 1305, we found that 1305 has factors 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305. Hence, we must say that 1305 is a composite number.
- Thus, 1305 is the composite number.
- If we multiply 1305 by 1, 2, 3 then we get the multiples of 1305 which are 1305, 2610 and so on.
1305 is a Composite number or Prime number
About the number 1305:
- 1305 has more than two factors which are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305 and hence it is the composite number.
- 1305 is the odd composite number and it is not the perfect square also.
- If we divide 1305 by 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305 are the factors of 1305
Note:
- 1305 is not the perfect square.
- Factors of 1305: 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305
- Prime factors of 1305: 3, 5, 29
Conclusion:
- 1305 is the composite number which has factors 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305.
- And hence, 1305 is not the prime number.
Multiple Choice Questions:
1) 1305 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 1305 are
a) 1
b) 3, 5, 29
c) 1, 9, 15, 45, 87, 145, 261, 435 and 1305
d) 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305
Ans: b) 1, 9, 15, 45, 87, 145, 261, 435 and 1305
3) 1305 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435 and 1305
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all