Is 4944 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 4944 is composite or not first we have to find its factors.
Contents
Factors of 4944:
- If we have taken numbers from 1, 2, 3…for checking factors of 4944 we found that 4944 has factors 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944. Hence, we must say that 4944 is a composite number.
- Thus, 4944 is the composite number.
- If we multiply 4944 by 1, 2, 3 then we get the multiples of 4944 which are 4944, 9888 and so on.
About the number 4944:
- 4944 has more than two factors which are 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944 and hence it is the composite number.
- 4944 is the even composite number and it is not the perfect square also.
- If we divide 4944 by, 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944 then we get remainder as zero. Hence, 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944 are the factors of 4944.
Note:
- 4944 is not the perfect square.
- Factors of 4944: 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944
- Prime factors of 4944: 2, 3, 103
Conclusion:
- 4944 is the composite number which has factors, 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944
- And hence, 4944 is not the prime number.
Multiple Choice Questions:
1) 4944 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4944 are
a) 4944
b) 2, 3, 103
c) 6, 8, 12, 16, 24, 48, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944
d) 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944
Ans: b) 2, 3, 103
3) 4944 is even composite number because
a) It has factors 1, 2, 3, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472 and 4944
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all