Is 4014 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 4014 is composite or not first we have to find its factors.
Contents
Factors of 4014:
- If we have taken numbers from 1, 2, 3…for checking factors of 4014 we found that 4014 has factors 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014. Hence, we must say that 4014 is a composite number.
- Thus, 4014 is the composite number.
- If we multiply 4014 by 1, 2, 3 then we get the multiples of 4014 which are 4014, 8028 and so on.
About the number 4014:
- 4014 has more than two factors which are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014 and hence it is the composite number.
- 4014 is the even composite number and it is not the perfect square also.
- If we divide 4014 by, 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014 are the factors of 4014.
Note:
- 4014 is not the perfect square.
- Factors of 4014: 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014
- Prime factors of 4014: 2, 3, 223
Conclusion:
- 4014 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014
- And hence, 4014 is not the prime number.
Multiple Choice Questions:
1) 4014 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4014 are
a) 4014
b) 2, 3, 223
c) 6, 9, 18, 446, 669, 1338, 2007 and 4014
d) 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014
Ans: c) 6, 9, 18, 446, 669, 1338, 2007 and 4014
3) 4014 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007 and 4014
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b