Is 4928 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 4928 is composite or not first we have to find its factors.
Contents
Factors of 4928:
- If we have taken numbers from 1, 2, 3…for checking factors of 4928 we found that 4928 has factors 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928. Hence, we must say that 4928 is a composite number.
- Thus, 4928 is the composite number.
- If we multiply 4928 by 1, 2, 3 then we get the multiples of 4928 which are 4928, 9856 and so on.
About the number 4928:
- 4928 has more than two factors which are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928 and hence it is the composite number.
- 4928 is the even composite number and it is not the perfect square also.
- If we divide 4928 by, 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928 are the factors of 4928.
Note:
- 4928 is not the perfect square.
- Factors of 4928: 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928
- Prime factors of 4928: 2, 7, 11
Conclusion:
- 4928 is the composite number which has factors, 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928
- And hence, 4928 is not the prime number.
Multiple Choice Questions:
1) 4928 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 4928 are
a) 4928
b) 2, 7, 11
c) 4, 8, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928
d) 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928
Ans: b) 2, 7, 11
3) 4928 is even composite number because
a) It has factors 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464 and 4928
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all