Is 174 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 174 is composite or not first we have to find its factors.
Contents
Factors of 174:
- If we have taken numbers from 1, 2, 3…for checking factors of 174, we found that 174 has factors 1, 2, 3, 6, 29, 58, 87 and 174. Hence, we must say that 174 is a composite number.
- Thus, 174 is the composite number.
- If we multiply 174 by 1, 2, 3 then we get the multiples of 174 which are 174, 348, and so on.
About the number 174:
- 174 has more than two factors which are 1, 2, 3, 6, 29, 58, 87 and 174 and hence it is the composite number.
- 174 is the even composite number and it is not the perfect square also.
- If we divide 174 by 1, 2, 3, 6, 29, 58, 87 and 174 then we get remainder as zero. Hence, 1, 2, 3, 6, 29, 58, 87 and 174 are the factors of 174.
Note:
- 174 is not the perfect square.
- Factors of 174: 1, 2, 3, 6, 29, 58, 87 and 174
- Prime factors of 174: 2, 3, 29
Conclusion:
- 174 is the composite number which has factors 1, 2, 3, 6, 29, 58, 87 and 174.
- And hence, 174 is not the prime number.
Multiple Choice Questions:
1) 174 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 174 are
a) 1
b) 2, 3, 29
c) Both a and b
d) 1741
Ans: b) 2, 3, 29
3) 1 is the not prime factor of 174 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