Is 4658 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 4658 is composite or not first we have to find its factors.
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Factors of 4658:
- If we have taken numbers from 1, 2, 3…for checking factors of 4658 we found that 4658 has factors 1, 2, 17, 34, 137, 274, 2329 and 4658. Hence, we must say that 4658 is a composite number.
- Thus, 4658 is the composite number.
- If we multiply 4658 by 1, 2, 3 then we get the multiples of 4658 which are 4658, 9316 and so on.
About the number 4658:
- 4658 has more than two factors which are 1, 2, 17, 34, 137, 274, 2329 and 4658 and hence it is the composite number.
- 4658 is the even composite number and it is not the perfect square also.
- If we divide 4658 by, 1, 2, 17, 34, 137, 274, 2329 and 4658 then we get remainder as zero. Hence, 1, 2, 17, 34, 137, 274, 2329 and 4658 are the factors of 4658.
Note:
- 4658 is not the perfect square.
- Factors of 4658: 1, 2, 17, 34, 137, 274, 2329 and 4658
- Prime factors of 4658: 2, 17, 137
Conclusion:
- 4658 is the composite number which has factors, 1, 2, 17, 34, 137, 274, 2329 and 4658
- And hence, 4658 is not the prime number.
Multiple Choice Questions:
1) 4658 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 4658 are
a) 4658
b) 2, 17, 137
c) 34, 274, 2329 and 4658
d) 1, 2, 17, 34, 137, 274, 2329 and 4658
Ans: b) 2, 17, 137
3) 4658 is even composite number because
a) It has factors 1, 2, 17, 34, 137, 274, 2329 and 4658
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all