Is 2017 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 2017 is prime or not first we have to find its factors.
Contents
Factors of 2017:
- If we have taken numbers from 1, 2, 3…for checking factors of 2017, we found that 2017 has factors 1 and the number 2017 itself. Hence, we must say that 2017 is a prime number.
- Thus, 2017 is the prime number.
- Here, 2017 is the odd prime number.
- If we multiply 2017 by 1, 2, 3, then we get the multiples of 2017 which are 2017, 4034, 6051…and so on.
About the number 2017:
- 2017has only two factors which are 1 and the number itself and hence 2017 is the prime number.
- 2017is the odd prime number and it is not the perfect square also.
- If we divide 2017 by 1 and the number itself then we get remainder as zero. Hence, 1 and 2017 are the factors of 2017.
Note:
- 2017 is not the perfect square.
- Factors of 2017: 1 and 2017
- Prime factors of 2017: 2017 (since, 2017 is the only one prime number which is the factor of 2017.)
Conclusion:
- 2017 is the prime number which has factors 1 and 2017.
- And hence, 2017 is the prime number.
Multiple Choice Questions:
1) 2017 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 2017 are
a) 1
b) 2017
c) Both a and b
d) 0
Ans: b) 2017
3) 1 is the not prime factor of 2017 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