Is 1014 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 1014 is composite or not first we have to find its factors.
Contents
Factors of 1014:
- If we have taken numbers from 1, 2, 3…for checking factors of 1014, we found that 1014 has factors 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014. Hence, we must say that 1014 is a composite number.
- Thus, 1014 is the composite umber.
- If we multiply 1014 by 1, 2, 3 then we get the multiples of 1014 which are 1014, 2028 and so on.
About the number 1014:
- 1014 has more than two factors which are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014 and hence it is the composite number.
- 1014 is the even composite number and it is not the perfect square also.
- If we divide 1014 by 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014 then we get remainder as zero. Hence, 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014 are the factors of 1014.
Note:
- 1014 is not the perfect square.
- Factors of 1014: 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014
- Prime factors of 1014: 2, 3, 13
Conclusion:
- 1014 is the composite number which has factors 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014
- And hence, 1014 is not the prime number.
Multiple Choice Questions:
1) 1014 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The non-prime factors of a composite number 1014 are
a) 1
b) 2, 3, 13
c) 1, 6, 26, 39, 78, 169, 338, 507 and 1014
d) 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014
Ans: c) 1, 6, 26, 39, 78, 169, 338, 507 and 1014
3) 1014 is even the composite number because
a) It has factors 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507 and 1014
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all