Is 242 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 242 is composite or not first we have to find its factors.
Contents
Factors of 242:
- If we have taken numbers from 1, 2, 3…for checking factors of 242, we found that 242 has factors 1, 2, 11, 22, 121 and 242. Hence, we must say that 242 is a composite number.
- Thus, 242 is the composite umber.
- If we multiply 242 by 1, 2, 3 then we get the multiples of 242 which are 242, 484, and so on.
About the number 242:
- 242 has more than two factors which are 1, 2,11, 22, 121 and 242 and hence it is the composite number.
- 242 is the even composite number and it is not the perfect square also.
- If we divide 242 by 1, 2, 11, 22, 121 and 242 then we get remainder as zero. Hence, 1, 2,11, 22, 121 and 242 are the factors of 242.
Note:
- 242 is not the perfect square.
- Factors of 242: 1, 2,11, 22, 121 and 242
- Prime factors of 242: 2, 11
Conclusion:
- 242 is the composite number which has factors 1, 2, 11, 22, 121 and 242.
- And hence, 242 is not the prime number.
Multiple Choice Questions:
1) 242 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 242 are
a) 1
b) 2, 11
c) Both a and b
d) 1, 2, 11, 22, 121 and 242
Ans: b) 2, 11
3) 242 is the even composite number as it has
a) Only two factors
b) It is divisible by 2
c) More than 2 factors
d) Both b and c
Ans: d) both b and c