Is 4012 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 4012 is composite or not first we have to find its factors.
Contents
Factors of 4012:
- If we have taken numbers from 1, 2, 3…for checking factors of 4012 we found that 4012 has factors 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012. Hence, we must say that 4012 is a composite number.
- Thus, 4012 is the composite number.
- If we multiply 4012 by 1, 2, 3 then we get the multiples of 4012 which are 4012, 8024 and so on.
About the number 4012:
- 4012 has more than two factors which are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012 and hence it is the composite number.
- 4012 is the even composite number and it is not the perfect square also.
- If we divide 4012 by, 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012 then we get remainder as zero. Hence, 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012 are the factors of 4012.
Note:
- 4012 is not the perfect square.
- Factors of 4012: 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012
- Prime factors of 4012: 2, 17, 59
Conclusion:
- 4012 is the composite number which has factors, 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012
- And hence, 4012 is not the prime number.
Multiple Choice Questions:
1) 4012 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 4012 are
a) 4012
b) 2, 17, 59
c) 4, 34, 68, 118, 236, 1003, 2006 and 4012
d) 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012
Ans: c) 4, 34, 68, 118, 236, 1003, 2006 and 4012
3) 4012 is composite number because
a) It has factors 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006 and 4012
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b