Is 2996 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 2996 is composite or not first we have to find its factors.
Contents
Factors of 2996:
- If we have taken numbers from 1, 2, 3…for checking factors of 2996, we found that 2996 has factors 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996. Hence, we must say that 2996 is a composite number.
- Thus, 2996 is the composite number.
- If we multiply 2996 by 1, 2, 3 then we get the multiples of 2996 which are 2996, 5992 and so on.
About the number 2996:
- 2996 has more than two factors which are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996 and hence it is the composite number.
- 2996 is the even composite number and it is not the perfect square also.
- If we divide 2996 by, 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996 then we get remainder as zero. Hence, 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996 are the factors of 2996.
Note:
- 2996 is not the perfect square.
- Factors of 2996: 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996
- Prime factors of 2996: 2, 7, 107
Conclusion:
- 2996 is the composite number which has factors, 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996
- And hence, 2996 is not the prime number.
Multiple Choice Questions:
1) 2996 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 2996 are
a) 2996
b) 2, 7, 107
c) 4, 14, 28, 214, 428, 749, 1498 and 2996
d) 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996
Ans: c) 4, 14, 28, 214, 428, 749, 1498 and 2996
3) 2996 is even composite number because
a) It has factors 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498 and 2996
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c