Is 4988 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 4988 is composite or not first we have to find its factors.
Contents
Factors of 4988:
- If we have taken numbers from 1, 2, 3…for checking factors of 4988 we found that 4988 has factors 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988. Hence, we must say that 4988 is a composite number.
- Thus, 4988 is the composite number.
- If we multiply 4988 by 1, 2, 3 then we get the multiples of 4988 which are 4988, 9976 and so on.
About the number 4988:
- 4988 has more than two factors which are 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988 and hence it is the composite number.
- 4988 is the even composite number and it is not the perfect square also.
- If we divide 4988 by, 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988 then we get remainder as zero. Hence, 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988 are the factors of 4988.
Note:
- 4988 is not the perfect square.
- Factors of 4988: 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988
- Prime factors of 4988: 2, 29, 43
Conclusion:
- 4988 is the composite number which has factors, 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988
- And hence, 4988 is not the prime number.
Multiple Choice Questions:
1) 4988 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 4988 are
a) 4988
b) 2, 29, 43
c) 4, 58, 86, 116, 172, 1247, 2494 and 4988
d) 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988
Ans: b) 2, 29, 43
3) 4988 is even composite number because
a) It has factors 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494 and 4988
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all