Is 523 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 523 is prime or not first we have to find its factors.
Contents
Factors of 523:
- If we have taken numbers from 1, 2, 3…for checking factors of 523, we found that 523 has factors 1 and the number 523 itself. Hence, we must say that 523 is a prime number.
- Thus, 523 is the prime number.
- Here, 523 is the odd prime number.
- If we multiply 523 by 1, 2, 3, then we get the multiples of 523 which are 523, 1046, 1569…and so on.
About the number 523:
- 523 has only two factors which are 1 and the number itself and hence 523 is the prime number.
- 523 is the odd prime number and it is not the perfect square also.
- If we divide 523 by 1 and the number itself then we get remainder as zero. Hence, 1 and 523 are the factors of 523.
Note:
- 523 is not the perfect square.
- Factors of 523: 1 and 523
- Prime factors of 523: 523 (since, 523 is the only one prime number which is the factor of 523.)
Conclusion:
- 523 is the prime number which has factors 1 and 523.
- And hence, 523 is the prime number.
Multiple Choice Questions:
1) 523 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 523 are
a) 1
b) 523
c) Both a and b
d) 0
Ans: b) 523
3) 1 is the not prime factor of 523 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