Is 4884 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 4884 is composite or not first we have to find its factors.
Contents
Factors of 4884:
- If we have taken numbers from 1, 2, 3…for checking factors of 4884 we found that 4884 has factors 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884. Hence, we must say that 4884 is a composite number.
- Thus, 4884 is the composite number.
- If we multiply 4884 by 1, 2, 3 then we get the multiples of 4884 which are 4884, 9768 and so on.
About the number 4884:
- 4884 has more than two factors which are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884 and hence it is the composite number.
- 4884 is the even composite number and it is not the perfect square also.
- If we divide 4884 by, 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884 are the factors of 4884.
Note:
- 4884 is not the perfect square.
- Factors of 4884: 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884
- Prime factors of 4884: 2, 3, 11, 37
Conclusion
- 4884 is the composite number which has factors, 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884
- And hence, 4884 is not the prime number.
Multiple Choice Questions:
1) 4884 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 4884 are
a) 4884
b) 2, 3, 11, 37
c) 4, 6, 12, 22, 33, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884
d) 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884
Ans: b) 2, 3, 11, 37
3) 4884 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442 and 4884
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all