Is 2013 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 2013 is composite or not first we have to find its factors.
Contents
Factors of 2013:
- If we have taken numbers from 1, 2, 3…for checking factors of 2013, we found that 2013 has factors 1, 3, 11, 33, 61, 183, 671 and 2013. Hence, we must say that 2013 is a composite number.
- Thus, 2013 is the composite number.
- If we multiply 2013 by 1, 2, 3 then we get the multiples of 2013 which are 2013, 4026 and so on.
2013 is a Composite number or Prime number
About the number 2013:
- 2013 has more than two factors which are 1, 3, 11, 33, 61, 183, 671 and 2013 and hence it is the composite number.
- 2013 is the odd composite number and it is not the perfect square also.
- If we divide 2013 by 1, 3, 11, 33, 61, 183, 671 and 2013 then we get remainder as zero. Hence, 1, 3, 11, 33, 61, 183, 671 and 2013 are the factors of 2013
Note:
- 2013 is not the perfect square.
- Factors of 2013: 1, 3, 11, 33, 61, 183, 671 and 2013
- Prime factors of 2013: 3, 11, 61
Conclusion:
- 2013 is the composite number which has factors 1, 3, 11, 33, 61, 183, 671 and 2013.
- And hence, 2013 is not the prime number.
Multiple Choice Questions:
1) 2013 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2013 are
a) 1
b) 3, 11, 61
c) 1, 33, 183, 671 and 2013
d) 1, 3, 11, 33, 61, 183, 671 and 2013
Ans: c) 1, 33, 183, 671 and 2013
3) 2013 is the odd composite number because
a) It has factors 1, 3, 11, 33, 61, 183, 671 and 2013
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all