Is 2198 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 2198 is composite or not first we have to find its factors.
Contents
Factors of 2198:
- If we have taken numbers from 1, 2, 3…for checking factors of 2198, we found that 2198 has factors 1, 2, 7, 14, 157, 314, 1099 and 2198. Hence, we must say that 2198 is a composite number.
- Thus, 2198 is the composite number.
- If we multiply 2198 by 1, 2, 3 then we get the multiples of 2198 which are 2198, 4396 and so on.
About the number 2198:
- 2198 has more than two factors which are 1, 2, 7, 14, 157, 314, 1099 and 2198 and hence it is the composite number.
- 2198 is the even composite number and it is not the perfect square also.
- If we divide 2198 by, 1, 2, 7, 14, 157, 314, 1099 and 2198 then we get remainder as zero. Hence, 1, 2, 7, 14, 157, 314, 1099 and 2198 are the factors of 2198.
Note:
- 2198 is not the perfect square.
- Factors of 2198: 1, 2, 7, 14, 157, 314, 1099 and 2198
- Prime factors of 2198: 2, 7, 157
Conclusion:
- 2198 is the composite number which has factors 1, 2, 7, 14, 157, 314, 1099 and 2198
- And hence, 2198 is not the prime number.
Multiple Choice Questions:
1) 2198 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2198 are
a) 2198
b) 2, 7, 157
c) 1, 14, 314, 1099 and 2198
d) 1, 2, 7, 14, 157, 314, 1099 and 2198
Ans: c) 1, 14, 314, 1099 and 2198
3) 2198 is composite number because
a) It has factors 1, 2, 7, 14, 157, 314, 1099 and 2198
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 7, 14, 157, 314, 1099 and 2198