Is 306 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 306 is composite or not first we have to find its factors.
Contents
Factors of 306:
- If we have taken numbers from 1, 2, 3…for checking factors of 306, we found that 306 has factors 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306. Hence, we must say that 306 is a composite number.
- Thus, 306 is the composite umber.
- If we multiply 306 by 1, 2, 3 then we get the multiples of 306 which are 306, 612 and so on.
About the number 306:
- 306 has more than two factors which are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306 and hence it is the composite number.
- 306 is the even composite number and it is not the perfect square also.
- If we divide 306 by 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306 are the factors of 306.
Note:
- 306 is not the perfect square.
- Factors of 306: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306
- Prime factors of 306: 2, 3, 17
Conclusion:
- 306 is the composite number which has factors 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306
- And hence, 306 is not the prime number.
Multiple Choice Questions:
1) 306 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 306 are
a) 2
b) 2, 3, 17
c) 152
d) 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306
Ans: b) 2, 3, 17
3) 306 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