Is 1217 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 1217 is prime or not first we have to find its factors.
Contents
Factors of 1217:
- If we have taken numbers from 1, 2, 3…for checking factors of 1217, we found that 1217 has factors 1 and the number 1217 itself. Hence, we must say that 1217 is a prime number.
- Thus, 1217 is the prime number.
- Here, 1217 is the odd prime number.
- If we multiply 1217 by 1, 2, 3, then we get the multiples of 1217 which are 1217, 2434, 3651…and so on.
About the number 1217 :
- 1217has only two factors which are 1 and the number itself and hence 1217 is the prime number.
- 1217is the odd prime number and it is not the perfect square also.
- If we divide 1217 by 1 and the number itself then we get remainder as zero. Hence, 1 and 1217 are the factors of 1217.
Note:
- 1217 is not the perfect square.
- Factors of 1217: 1 and 1217
- Prime factors of 1217: 1217 (since, 1217 is the only one prime number which is the factor of 1217.)
Conclusion:
- 1217 is the prime number which has factors 1 and 1217.
- And hence, 1217 is the prime number.
Multiple Choice Questions:
1) 1217 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 1217 are
a) 1
b) 1217
c) Both a and b
d) 0
Ans: b) 1217
3) 1 is the not prime factor of 1217 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