Is 1309 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 1309 is composite or not first we have to find its factors.
Contents
Factors of 1309:
- If we have taken numbers from 1, 2, 3…for checking factors of 1309, we found that 1309 has factors 1, 7, 11, 17, 77, 119, 187 and 1309. Hence, we must say that 1309 is a composite number.
- Thus, 1309 is the composite number.
- If we multiply 1309 by 1, 2, 3 then we get the multiples of 1309 which are 1309, 2618 and so on.
1309 is a Composite number or Prime number
About the number 1309:
- 1309 has more than two factors which are 1, 7, 11, 17, 77, 119, 187 and 1309 and hence it is the composite number.
- 1309 is the odd composite number and it is not the perfect square also.
- If we divide 1309 by 1, 7, 11, 17, 77, 119, 187 and 1309 then we get remainder as zero. Hence, 1, 7, 11, 17, 77, 119, 187 and 1309 are the factors of 1309
Note:
- 1309 is not the perfect square.
- Factors of 1309: 1, 7, 11, 17, 77, 119, 187 and 1309
- Prime factors of 1309: 7, 11, 17
Conclusion:
- 1309 is the composite number which has factors 1, 7, 11, 17, 77, 119, 187 and 1309.
- And hence, 1309 is not the prime number.
Multiple Choice Questions:
1) 1309 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 1309 are
a) 1
b) 7, 11, 17
c) 1, 77, 119, 187 and 1309
d) 1, 7, 11, 17, 77, 119, 187 and 1309
Ans: b) 1, 77, 119, 187 and 1309
3) 1309 is the odd composite number because
a) It has factors 1, 7, 11, 17, 77, 119, 187 and 1309
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all