Is 4628 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 4628 is composite or not first we have to find its factors.
Contents
Factors of 4628:
- If we have taken numbers from 1, 2, 3…for checking factors of 4628 we found that 4628 has factors 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628. Hence, we must say that 4628 is a composite number.
- Thus, 4628 is the composite number.
- If we multiply 4628 by 1, 2, 3 then we get the multiples of 4628 which are 4628, 9256 and so on.
About the number 4628:
- 4628 has more than two factors which are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628 and hence it is the composite number.
- 4628 is the even composite number and it is not the perfect square also.
- If we divide 4628 by, 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628 then we get remainder as zero. Hence, 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628 are the factors of 4628.
Note:
- 4628 is not the perfect square.
- Factors of 4628: 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628
- Prime factors of 4628: 2, 13, 89
Conclusion:
- 4628 is the composite number which has factors, 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628
- And hence, 4628 is not the prime number.
Multiple Choice Questions:
1) 4628 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 4628 are
a) 4628
b) 2, 13, 89
c) 4, 26, 52, 178, 356, 1157, 2314 and 4628
d) 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628
Ans: b) 2, 13, 89
3) 4628 is even composite number because
a) It has factors 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314 and 4628
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all