Is 138 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 138 is composite or not first we have to find its factors.
Contents
Factors of 138:
- If we have taken numbers from 1, 2, 3…for checking factors of 138, we found that 138 has factors 1, 2, 3, 6, 23, 46, 69 and 138. Hence, we must say that 138 is a composite number.
- Thus, 138 is the composite number.
- If we multiply 138 by 1, 2, 3 then we get the multiples of 138 which are 138, 276, and so on.
About the number 138:
- 138 has more than two factors which are 1,2, 3, 6, 23, 46, 69 and 138 and hence it is the composite number.
- 138 is the even composite number and it is not the perfect square also.
- If we divide 138 by 1,2,3, 6, 23, 46, 69 and 138 then we get remainder as zero. Hence, 1, 2, 3, 6, 23, 46, 69 and 138 are the factors of 138.
Note:
- 138 is not the perfect square.
- Factors of 138: 1, 2, 3, 6, 23, 46, 69 and 138
- Prime factors of 138: 2, 3, 23
Conclusion:
- 138 is the composite number which has factors 1, 2, 3, 6, 23, 46, 69 and 138.
- And hence, 138 is not the prime number.
Multiple Choice Questions:
1) 138 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 138 are
a) 1
b) 2, 3, 23
c) Both a and b
d) 1381
Ans: b) 2, 3, 23
3) 1 is the not prime factor of 138 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