Is 288 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 288 is composite or not first we have to find its factors.
Contents
Factors of 288:
- If we have taken numbers from 1, 2, 3…for checking factors of 288, we found that 288 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and 288. Hence, we must say that 288 is a composite number.
- Thus, 288 is the composite umber.
- If we multiply 288 by 1, 2, 3 then we get the multiples of 288 which are 288, 576, and so on
About the number 288:
- 288 has more than two factors which are1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and 288 and hence it is the composite number.
- 288 is the even composite number and it is not the perfect square also.
- If we divide 288 by 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and 288 then we get remainder as zero. Hence,1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and 288 are the factors of 288.
Note:
- 288 is not the perfect square.
- Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and 288
- Prime factors of 288: 2, 3
Conclusion:
- 288 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and
- And hence, 288 is not the prime number.
Multiple Choice Questions:
1) 288 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 288 are
a) 2
b) 2, 3
c) 2, 4, 134
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and 288
Ans: b) 2, 3
3) 288 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