Is 4958 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 4958 is composite or not first we have to find its factors.
Contents
Factors of 4958:
- If we have taken numbers from 1, 2, 3…for checking factors of 4958 we found that 4958 has factors 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958. Hence, we must say that 4958 is a composite number.
- Thus, 4958 is the composite number.
- If we multiply 4958 by 1, 2, 3 then we get the multiples of 4958 which are 4958, 9916 and so on.
About the number 4958:
- 4958 has more than two factors which are 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958 and hence it is the composite number.
- 4958 is the even composite number and it is not the perfect square also.
- If we divide 4958 by, 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958 then we get remainder as zero. Hence, 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958 are the factors of 4958.
Note:
- 4958 is not the perfect square.
- Factors of 4958: 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958
- Prime factors of 4958: 2, 37, 67
Conclusion:
- 4958 is the composite number which has factors, 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958
- And hence, 4958 is not the prime number.
Multiple Choice Questions:
1) 4958 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 4958 are
a) 4958
b) 2, 37, 67
c) 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958
d) 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958
Ans: b) 2, 37, 67
3) 4958 is even composite number because
a) It has factors 1, 2, 37, 67, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4958
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all