Is 300 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 300 is composite or not first we have to find its factors.
Contents
Factors of 300:
- If we have taken numbers from 1, 2, 3…for checking factors of 300, we found that 300 has factors 1, 2, 3 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300. Hence, we must say that 300 is a composite number.
- Thus, 300 is the composite umber.
- If we multiply 300 by 1, 2, 3 then we get the multiples of 300 which are 300, 600 and so on
About the number 300:
- 300 has more than two factors which are 1, 2, 3 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300 and hence it is the composite number.
- 300 is the even composite number and it is not the perfect square also.
- If we divide 300 by 1, 2, 3 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300 then we get remainder as zero. Hence, 1, 2, 3 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300 are the factors of 300.
Note:
- 300 is not the perfect square.
- Factors of 300: 1, 2, 3 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300
- Prime factors of 300: 2, 3, 5
Conclusion:
- 300 is the composite number which has factors 1, 2, 3 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300
- And hence, 300 is not the prime number.
Multiple Choice Questions:
1) 300 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 300 are
a) 2
b) 2, 3, 5
c) 1, 300
d) 1, 2, 3 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300
Ans: b) 2, 3, 5
3) 300 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