Is 172 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 172 is composite or not first we have to find its factors.
Contents
Factors of 172:
- If we have taken numbers from 1, 2, 3…for checking factors of 172, we found that 172 has factors 1, 2, 4, 43, 86 and 172. Hence, we must say that 172 is a composite number.
- Thus, 172 is the composite number.
- If we multiply 172 by 1, 2, 3 then we get the multiples of 172 which are 172, 344, and so on.
About the number 172:
- 172 has more than two factors which are 1, 2, 4, 43, 86 and 172 and hence it is the composite number.
- 172 is the even composite number and it is not the perfect square also.
- If we divide 172 by 1, 2, 4, 43, 86 and 172 then we get remainder as zero. Hence, 1, 2, 4, 43, 86 and 172 are the factors of 172.
Note:
- 172 is not the perfect square.
- Factors of 172: 1, 2, 4, 43, 86 and 172
- Prime factors of 172: 2, 43
Conclusion:
- 172 is the composite number which has factors 1, 2, 4, 43, 86 and 172.
- And hence, 172 is not the prime number.
Multiple Choice Questions:
1) 172 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 172 are
a) 1
b) 2, 43
c) Both a and b
d) 1721
Ans: b) 2, 43
3) 1 is the not prime factor of 172 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