Is 2012 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 2012 is composite or not first we have to find its factors.
Contents
Factors of 2012:
- If we have taken numbers from 1, 2, 3…for checking factors of 2012, we found that 2012 has factors 1, 2, 4, 503, 1006 and 2012. Hence, we must say that 2012 is a composite number.
- Thus, 2012 is the composite number.
- If we multiply 2012 by 1, 2, 3 then we get the multiples of 2012 which are 2012, 4024 and so on.
About the number 2012:
- 2012 has more than two factors which are 1, 2, 4, 503, 1006 and 2012 and hence it is the composite number.
- 2012 is the even composite number and it is not the perfect square also.
- If we divide 2012 by, 1, 2, 4, 503, 1006 and 2012 then we get remainder as zero. Hence, 1, 2, 4, 503, 1006 and 2012 are the factors of 2012.
Note:
- 2012 is not the perfect square.
- Factors of 2012: 1, 2, 4, 503, 1006 and 2012
- Prime factors of 2012: 2, 503
Conclusion:
- 2012 is the composite number which has factors 1, 2, 4, 503, 1006 and 2012
- And hence, 2012 is not the prime number.
Multiple Choice Questions:
1) 2012 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 2012 are
a) 2012
b) 2, 503
c) 1, 4, 1006 and 2012
d) 1, 2, 4, 503, 1006 and 2012
Ans: c) 1, 4, 1006 and 2012
3) 2012 is composite number because
a) It has factors 1, 2, 4, 503, 1006 and 2012
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 503, 1006 and 2012