Is 4656 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 4656 is composite or not first we have to find its factors.
Contents
Factors of 4656:
- If we have taken numbers from 1, 2, 3…for checking factors of 4656 we found that 4656 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656. Hence, we must say that 4656 is a composite number.
- Thus, 4656 is the composite number.
- If we multiply 4656 by 1, 2, 3 then we get the multiples of 4656 which are 4656, 9312 and so on.
About the number 4656:
- 4656 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656 and hence it is the composite number.
- 4656 is the even composite number and it is not the perfect square also.
- If we divide 4656 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656 are the factors of 4656.
Note:
- 4656 is not the perfect square.
- Factors of 4656: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656
- Prime factors of 4656: 2, 3, 97
Conclusion:
- 4656 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656
- And hence, 4656 is not the prime number.
Multiple Choice Questions:
1) 4656 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 4656 are
a) 4656
b) 2, 3, 97
c) 4, 6, 8, 12, 16, 24, 48, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656
Ans: b) 2, 3, 97
3) 4656 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 583, 776, 1164, 1552, 2328 and 4656
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all