Is 2904 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 2904 is composite or not first we have to find its factors.
Contents
Factors of 2904:
- If we have taken numbers from 1, 2, 3…for checking factors of 2904, we found that 2904 has factors 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904. Hence, we must say that 2904 is a composite number.
- Thus, 2904 is the composite number.
- If we multiply 2904 by 1, 2, 3 then we get the multiples of 2904 which are 2904, 5808 and so on.
About the number 2904:
- 2904 has more than two factors which are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904 and hence it is the composite number.
- 2904 is the even composite number and it is not the perfect square also.
- If we divide 2904 by, 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904 are the factors of 2904.
Note:
- 2904 is not the perfect square.
- Factors of 2904: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904
- Prime factors of 2904: 2, 3, 11
Conclusion:
- 2904 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904
- And hence, 2904 is not the prime number.
Multiple Choice Questions:
1) 2904 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 2904 are
a) 2904
b) 2, 3, 11
c) 4, 6, 8, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904
d) 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904
Ans: c) 4, 6, 8, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904
3) 2904 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452 and 2904
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c