Is 1814 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 1814 is composite or not first we have to find its factors.
Contents
Factors of 1814:
- If we have taken numbers from 1, 2, 3…for checking factors of 1814, we found that 1814 has factors 1, 2, 907 and 1814. Hence, we must say that 1814 is a composite number.
- Thus, 1814 is the composite number.
- If we multiply 1814 by 1, 2, 3 then we get the multiples of 1814 which are 1814, 3628 and so on.
About the number 1814:
- 1814 has more than two factors which are 1, 2, 907 and 1814 and hence it is the composite number.
- 1814 is the even composite number and it is not the perfect square also.
- If we divide 1814 by, 1, 2, 907 and 1814 then we get remainder as zero. Hence, 1, 2, 907 and 1814 are the factors of 1814.
Note:
- 1814 is not the perfect square.
- Factors of 1814: 1, 2, 907 and 1814
- Prime factors of 1814: 2, 907
Conclusion:
- 1814 is the composite number which has factors 1, 2, 907 and 1814
- And hence, 1814 is not the prime number.
Multiple Choice Questions:
1) 1814 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1814 are
a) 1814
b) 2, 907
c) 1 and 1814
d) 1, 2, 907 and 1814
Ans: c) 1 and 1814
3) 1814 is composite number because
a) It has factors 1, 2, 907 and 1814
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 907 and 1814