Is 4896 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 4896 is composite or not first we have to find its factors.
Factors of 4896:
- If we have taken numbers from 1, 2, 3…for checking factors of 4896 we found that 4896 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896. Hence, we must say that 4896 is a composite number.
- Thus, 4896 is the composite number.
- If we multiply 4896 by 1, 2, 3 then we get the multiples of 4896 which are 4896, 9792 and so on.
About the number 4896:
- 4896 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896 and hence it is the composite number.
- 4896 is the even composite number and it is not the perfect square also.
- If we divide 4896 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896 are the factors of 4896.
Note:
- 4896 is not the perfect square.
- Factors of 4896: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448and 4896
- Prime factors of 4896: 2, 3, 17
Conclusion:
- 4896 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896
- And hence, 4896 is not the prime number.
Multiple Choice Questions:
1) 4896 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 4896 are
a) 4896
b) 2, 3, 17
c) 4, 6, 8, 9, 12, 16, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896
Ans: b) 2, 3, 17
3) 4896 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448 and 4896
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all