Is 268 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 268 is composite or not first we have to find its factors.
Contents
Factors of 268:
- If we have taken numbers from 1, 2, 3…for checking factors of 268, we found that 268 has factors 1, 2, 4, 67, 134 and 268. Hence, we must say that 268 is a composite number.
- Thus, 268 is the composite umber.
- If we multiply 268 by 1, 2, 3 then we get the multiples of 268 which are 268, 536, and so on
About the number 268:
- 268 has more than two factors which are 1, 2, 4, 67, 134 and 268 and hence it is the composite number.
- 268 is the even composite number and it is not the perfect square also.
- If we divide 268 by 1, 2, 4, 67, 134 and 268 then we get remainder as zero. Hence, 1, 2, 4, 67, 134 and 268 are the factors of 268.
Note:
- 268 is not the perfect square.
- Factors of 268: 1, 2, 4, 67, 134 and 268
- Prime factors of 268: 2, 67
Conclusion:
- 268 is the composite number which has factors 1, 2, 4, 67, 134 and 268.
- And hence, 268 is not the prime number.
Multiple Choice Questions:
1) 268 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 268 are
a) 2
b) 2, 67
c) 2, 4, 134
d) 1, 2, 4, 67, 134 and 268
Ans: b) 2, 67
3) 268 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