Is 1314 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 1314 is composite or not first we have to find its factors.
Contents
Factors of 1314:
- If we have taken numbers from 1, 2, 3…for checking factors of 1314, we found that 1314 has factors 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314. Hence, we must say that 1314 is a composite number.
- Thus, 1314 is the composite number.
- If we multiply 1314 by 1, 2, 3 then we get the multiples of 1314 which are 1314, 2628 and so on.
About the number 1314:
- 1314 has more than two factors which are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314 and hence it is the composite number.
- 1314 is the even composite number and it is not the perfect square also.
- If we divide 1314 by 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314 are the factors of 1314.
Note:
- 1314 is not the perfect square.
- Factors of 1314: 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314
- Prime factors of 1314: 2, 3, 73
Conclusion:
- 1314 is the composite number which has factors 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314
- And hence, 1314 is not the prime number.
Multiple Choice Questions:
1) 1314 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1314 are
a) 6, 9, 18, 146, 219, 438, 657 and 1314
b) 2, 3, 73
c) 1, 6, 9, 18, 146, 219, 438, 657 and 1314
d) 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314
Ans: a) 6, 9, 18, 146, 219, 438, 657 and 1314
3) 1314 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657 and 1314
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b