Is 4967 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 4967 is prime or not first we have to find its factors.
Contents
Factors of 4967:
- If we have taken numbers from 1, 2, 3…for checking factors of 4967, we found that 4967 has factors 1 and the number 4967 itself. Hence, we must say that 4967 is a prime number.
- Thus, 4967 is the prime number.
- Here, 4967 is the odd prime number.
- If we multiply 4967 by 1, 2, 3, then we get the multiples of 4967 which are 4967, 9934, 14901…and so on.
About the number 4967:
- 4967 has only two factors which are 1 and the number itself and hence 4967 is the prime number.
- 4967 is the odd prime number and it is not the perfect square also.
- If we divide 4967 by 1 and the number itself then we get remainder as zero. Hence, 1 and 4967 are the factors of 4967.
Note:
- 4967 is not the perfect square.
- Factors of 4967: 1 and 4967
- Prime factors of 4967: 4967 (since, 4967 is the only one prime number which is the factor of 4967.)
Conclusion:
- 4967 is the prime number which has factors 1 and 4967.
- And hence, 4967 is the prime number.
Multiple Choice Questions:
1) 4967 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 4967 are
a) 1
b) 4967
c) Both a and b
d) 0
Ans: b) 4967
3) 1 is the not prime factor of 4967 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