Is 2992 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 2992 is composite or not first we have to find its factors.
Contents
Factors of 2992:
- If we have taken numbers from 1, 2, 3…for checking factors of 2992, we found that 2992 has factors 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992. Hence, we must say that 2992 is a composite number.
- Thus, 2992 is the composite number.
- If we multiply 2992 by 1, 2, 3 then we get the multiples of 2992 which are 2992, 5984 and so on.
About the number 2992:
- 2992 has more than two factors which are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992 and hence it is the composite number.
- 2992 is the even composite number and it is not the perfect square also.
- If we divide 2992 by, 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992 then we get remainder as zero. Hence, 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992 are the factors of 2992.
Note:
- 2992 is not the perfect square.
- Factors of 2992: 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992
- Prime factors of 2992: 2, 11, 17
Conclusion:
- 2992 is the composite number which has factors, 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992
- And hence, 2992 is not the prime number.
Multiple Choice Questions:
1) 2992 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 2992 are
a) 2992
b) 2, 11, 17
c) 4, 8,16, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992
d) 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992
Ans: c) 4, 8, 16, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992
3) 2992 is even composite number because
a) It has factors 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496 and 2992
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c