Is 144 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 144 is composite or not first we have to find its factors.
Contents
Factors of 144:
- If we have taken numbers from 1, 2, 3…for checking factors of 144, we found that 144 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144. Hence, we must say that 144 is a composite number.
- Thus, 144 is the composite number.
- If we multiply 144 by 1, 2, 3 then we get the multiples of 144 which are 144, 288, and so on.
About the number 144:
- 144 has more than two factors which are 1,2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144 and hence it is the composite number.
- 144 is the even composite number and it is the perfect square also.
- If we divide 144 by 1,2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144 are the factors of 144.
Note:
- 144 is the perfect square.
- Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144
- Prime factors of 144: 2, 3
Conclusion:
- 144 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
- And hence, 144 is not the prime number.
Multiple Choice Questions:
1) 144 is a
a) even number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 144 are
a) 1
b) 2, 3
c) Both a and b
d) 1441
Ans: b) 2, 3
3) 1 is the not prime factor of 144 because
a) It is the prime number
b) 1 is neither prime nor composite number
c) Both a and b
d) Given statement is false
Ans: b) 1 is neither prime nor composite number