Is 4672 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 4672 is composite or not first we have to find its factors.
Contents
Factors of 4672:
- If we have taken numbers from 1, 2, 3…for checking factors of 4672 we found that 4672 has factors 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672. Hence, we must say that 4672 is a composite number.
- Thus, 4672 is the composite number.
- If we multiply 4672 by 1, 2, 3 then we get the multiples of 4672 which are 4672, 9344 and so on.
About the number 4672:
- 4672 has more than two factors which are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672 and hence it is the composite number.
- 4672 is the even composite number and it is not the perfect square also.
- If we divide 4672 by, 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672 are the factors of 4672.
Note:
- 4672 is not the perfect square.
- Factors of 4672: 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672
- Prime factors of 4672: 2, 73
Conclusion:
- 4672 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672
- And hence, 4672 is not the prime number.
Multiple Choice Questions:
1) 4672 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 4672 are
a) 4672
b) 2, 73
c) 4, 8, 16, 32, 64, 146, 292, 584, 1168, 2336 and 4672
d) 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672
Ans: b) 2, 73
3) 4672 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336 and 4672
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all