Is 1009 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 1009 is prime or not first we have to find its factors.
Factors of 1009:
- If we have taken numbers from 1, 2, 3…for checking factors of 1009, we found that 1009 has factors 1 and the number 1009 itself. Hence, we must say that 1009 is a prime number.
- Thus, 1009 is the prime number.
- Here, 1009 is the odd prime number.
- If we multiply 1009 by 1, 2, 3, then we get the multiples of 1009 which are 1009, 2018, 3027…and so on.
Contents
About the number 1009:
- 1009has only two factors which are 1 and the number itself and hence 1009 is the prime number.
- 1009is the odd prime number and it is not the perfect square also.
- If we divide 1009 by 1 and the number itself then we get remainder as zero. Hence, 1 and 1009 are the factors of 1009.
Note:
- 1009 is not the perfect square.
- Factors of 1009: 1 and 1009
- Prime factors of 1009: 1009 (since, 1009 is the only one prime number which is the factor of 1009.)
Conclusion:
- 1009is the prime number which has factors 1 and 1009.
- And hence, 1009 is the prime number.
Multiple Choice Questions:
1) 1009 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 1009 are
a) 1
b) 1009
c) Both a and b
d) 0
Ans: b) 1009
3) 1 is the not prime factor of 1009 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.