Is 67 is a prime 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 67 is prime or not first we have to find its factors.
Contents
Factors of 67:
- If we have taken numbers from 1, 2, 3…for checking factors of 67, we found that 67 has factors 1 and the number 67 itself. Hence, we must say that 67 is a prime number.
- Thus, 67 is the prime number.
- Here, 67 is the odd prime number.
- If we multiply 67 by 1, 2, 3, then we get the multiples of 67 which are 67, 134, 201…and so on.
About the number 67 :
- 67has only two factors which are 1 and the number itself and hence 67 is the prime number.
- 67 is the odd prime number and it is not the perfect square also.
- If we divide 67 by 1 and the number itself then we get remainder as zero. Hence, 1 and 67 are the factors of 67.
Note:
- 67 is not the perfect square.
- Factors of 67: 1 and 67
- Prime factors of 67: 67 (since, 67 is the only one prime number which is the factor of 67.)
Conclusion:
- 67 is the prime number which has factors 1 and 67.
- And hence, 67 is the prime number.
Multiple Choice Questions:
1) 67 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and b
Ans: d) both a and b
2) The prime factors of a prime number 67are
a) 1
b) 67
c) Both a and b
d) 0
Ans: b) 67
3) 1 is the not prime factor of 67 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