Is 2014 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 2014 is composite or not first we have to find its factors.
Contents
Factors of 2014:
- If we have taken numbers from 1, 2, 3…for checking factors of 2014, we found that 2014 has factors 1, 2, 19, 38, 53, 106, 1007 and 2014. Hence, we must say that 2014 is a composite number.
- Thus, 2014 is the composite number.
- If we multiply 2014 by 1, 2, 3 then we get the multiples of 2014 which are 2014, 4028 and so on.
About the number 2014:
- 2014 has more than two factors which are 1, 2, 19, 38, 53, 106, 1007 and 2014 and hence it is the composite number.
- 2014 is the even composite number and it is not the perfect square also.
- If we divide 2014 by, 1, 2, 19, 38, 53, 106, 1007 and 2014 then we get remainder as zero. Hence, 1, 2, 19, 38, 53, 106, 1007 and 2014 are the factors of 2014.
Note:
- 2014 is not the perfect square.
- Factors of 2014: 1, 2, 19, 38, 53, 106, 1007 and 2014
- Prime factors of 2014: 2, 19, 53
Conclusion:
- 2014 is the composite number which has factors 1, 2, 19, 38, 53, 106, 1007 and 2014
- And hence, 2014 is not the prime number.
Multiple Choice Questions:
1) 2014 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 2014 are
a) 2014
b) 2, 19, 53
c) 1, 38, 106, 1007 and 2014
d) 1, 2, 19, 38, 53, 106, 1007 and 2014
Ans: c) 1, 38, 106, 1007 and 2014
3) 2014 is composite number because
a) It has factors 1, 2, 19, 38, 53, 106, 1007 and 2014
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 19, 38, 53, 106, 1007 and 2014