Is 168 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 168 is composite or not first we have to find its factors.
Contents
Factors of 168:
- If we have taken numbers from 1, 2, 3…for checking factors of 168, we found that 168 has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84 and 168. Hence, we must say that 168 is a composite number.
- Thus, 168 is the composite number.
- If we multiply 168 by 1, 2, 3 then we get the multiples of 168 which are 168, 336, and so on.
About the number 168:
- 168 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84 and 168 and hence it is the composite number.
- 168 is the even composite number and it is not the perfect square also.
- If we divide 168 by 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84 and 168 then we get remainder as zero. Hence, 1, 2, 83 and 168 are the factors of 168.
Note:
- 168 is not the perfect square.
- Factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84 and 168
- Prime factors of 168: 2, 3, 7
Conclusion:
- 168 is the composite number which has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84 and 168.
- And hence, 168 is not the prime number.
Multiple Choice Questions:
1) 168 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 168 are
a) 1
b) 2, 3, 7
c) Both a and b
d) 1681
Ans: b) 2, 3, 7
3) 1 is the not prime factor of 168 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