Is 4008 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 4008 is composite or not first we have to find its factors.
Contents
Factors of 4008:
- If we have taken numbers from 1, 2, 3…for checking factors of 4008, we found that 4008 has factors 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008. Hence, we must say that 4008 is a composite number.
- Thus, 4008 is the composite number.
- If we multiply 4008 by 1, 2, 3 then we get the multiples of 4008 which are 4008, 8016 and so on.
About the number 4008:
- 4008 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008 and hence it is the composite number.
- 4008 is the even composite number and it is not the perfect square also.
- If we divide 4008 by, 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008 are the factors of 4008.
Note:
- 4008 is not the perfect square.
- Factors of 4008: 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008
- Prime factors of 4008: 2, 3, 167
Conclusion:
- 4008 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008
- And hence, 4008 is not the prime number.
Multiple Choice Questions:
1) 4008 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 4008 are
a) 4008
b) 2, 3, 167
c) 4, 6, 8, 12, 24, 334, 501, 668, 1002, 1336, 2004 and 4008
d) 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008
Ans: c) 4, 6, 8, 12, 24, 334, 501, 668, 1002, 1336, 2004 and 4008
3) 4008 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004 and 4008
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b