Is 3008 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 3008 is composite or not first we have to find its factors.
Contents
Factors of 3008:
- If we have taken numbers from 1, 2, 3…for checking factors of 3008, we found that 3008 has factors 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008. Hence, we must say that 3008 is a composite number.
- Thus, 3008 is the composite number.
- If we multiply 3008 by 1, 2, 3 then we get the multiples of 3008 which are 3008, 6016 and so on.
About the number 3008:
- 3008 has more than two factors which are 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008 and hence it is the composite number.
- 3008 is the even composite number and it is not the perfect square also.
- If we divide 3008 by, 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008 are the factors of 3008.
Note:
- 3008 is not the perfect square.
- Factors of 3008: 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008
- Prime factors of 3008: 2, 47
Conclusion:
- 3008 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008
- And hence, 3008 is not the prime number.
Multiple Choice Questions:
1) 3008 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3008 are
a) 3008
b) 2, 47
c) 4, 8, 16, 32, 64, 94, 188, 376, 752, 1504 and 3008
d) 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008
Ans: c) 4, 8, 16, 32, 64, 94, 188, 376, 752, 1504 and 3008
3) 3008 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504 and 3008
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c