Is 171 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 171 is composite or not first we have to find its factors.
Contents
Factors of 171:
- If we have taken numbers from 1, 2, 3…for checking factors of 171, we found that 171 has factors 1, 3, 9, 19, 57 and 171. Hence, we must say that 171 is a composite number.
- Thus, 171 is the composite number.
- If we multiply 171 by 1, 2, 3 then we get the multiples of 171 which are 171, 342, and so on.
About the number 171:
- 171 has more than two factors which are 1, 3, 9, 19, 57 and 171 and hence it is the composite number.
- 171 is the odd composite number and it is not the perfect square also.
- If we divide 171 by 1, 3, 9, 19, 57 and 171 then we get remainder as zero. Hence, 1, 3, 9, 19, 57 and 171 are the factors of 171.
Note:
- 171 is not the perfect square.
- Factors of 171: 1, 3, 9, 19, 57 and 171
- Prime factors of 171: 3, 19
Conclusion:
- 171 is the composite number which has factors 1, 3, 9, 19, 57 and 171.
- And hence, 171 is not the prime number.
Multiple Choice Questions:
1) 171 is a
a) odd 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 171 are
a) 1
b) 3, 19
c) Both a and b
d) 1711
Ans: b) 3, 19
3) 1 is the not prime factor of 171 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