Is 4688 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 4688 is composite or not first we have to find its factors.
Contents
Factors of 4688:
- If we have taken numbers from 1, 2, 3…for checking factors of 4688 we found that 4688 has factors 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688. Hence, we must say that 4688 is a composite number.
- Thus, 4688 is the composite number.
- If we multiply 4688 by 1, 2, 3 then we get the multiples of 4688 which are 4688, 9376 and so on.
About the number 4688:
- 4688 has more than two factors which are 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688 and hence it is the composite number.
- 4688 is the even composite number and it is not the perfect square also.
- If we divide 4688 by, 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688 are the factors of 4688.
Note:
- 4688 is not the perfect square.
- Factors of 4688: 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688
- Prime factors of 4688: 2, 293
Conclusion:
- 4688 is the composite number which has factors, 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688
- And hence, 4688 is not the prime number.
Multiple Choice Questions:
1) 4688 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 4688 are
a) 4688
b) 2, 293
c) 4, 8, 16, 586, 1172, 2344 and 4688
d) 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688
Ans: b) 2, 293
3) 4688 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 293, 586, 1172, 2344 and 4688
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all