Is 4998 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 4998 is composite or not first we have to find its factors.
Contents
Factors of 4998:
- If we have taken numbers from 1, 2, 3…for checking factors of 4998 we found that 4998 has factors 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998. Hence, we must say that 4998 is a composite number.
- Thus, 4998 is the composite number.
- If we multiply 4998 by 1, 2, 3 then we get the multiples of 4998 which are 4998, 9996 and so on.
About the number 4998:
- 4998 has more than two factors which are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998 and hence it is the composite number.
- 4998 is the even composite number and it is not the perfect square also.
- If we divide 4998 by, 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998 are the factors of 4998.
Note:
- 4998 is not the perfect square.
- Factors of 4998: 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998
- Prime factors of 4998: 2, 3, 7, 17
Conclusion:
- 4998 is the composite number which has factors, 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998
- And hence, 4998 is not the prime number.
Multiple Choice Questions:
1) 4998 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 4998 are
a) 4998
b) 2, 3, 7, 17
c) 6, 14, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998
d) 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998
Ans: b) 2, 3, 7, 17
3) 4998 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499 and 4998
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all