Is 728 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 728 is composite or not first we have to find its factors.
Contents
Factors of 728:
- If we have taken numbers from 1, 2, 3…for checking factors of 728, we found that 728 has factors 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728. Hence, we must say that 728 is a composite number.
- Thus, 728 is the composite umber.
- If we multiply 728 by 1, 2, 3 then we get the multiples of 728 which are 728, 1456 and so on.
About the number 728:
- 728 has more than two factors which are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728 and hence it is the composite number.
- 728 is the even composite number and it is not the perfect square also.
- If we divide 728 by 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728 are the factors of 728.
Note:
- 728 is not the perfect square.
- Factors of 728:1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728
- Prime factors of 728: 2, 7, 13
Conclusion:
- 728 is the composite number which has factors 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728
- And hence, 728 is not the prime number.
Multiple Choice Questions:
1) 728 is a
a) perfect square number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 728 are
a) 4, 8, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
b) 2, 7, 13
c) 1, 4, 8, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728
d) 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728
Ans: a) 4, 8, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
3) 728 is the composite number because
a) It has factors 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364 and 728
b) More than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b