53: Prime or Composite Number?

Is 53 a prime number?

Yes, 53 is a prime number. We can classify whole numbers as prime numbers and composite numbers. Now, prime numbers are those that are divisible by 1 and the number itself whereas the composite numbers are those that have more than two factors, unlike prime numbers. Some examples of prime numbers are 2, 5, 3, 19, 11, and so on. Some examples of composite numbers are 4, 10, 12, 20 and so on. 

What are the factors of 53?

The number 53 has only two factors which are 1 and the number itself which is 53. We can write 53 as the product of 1 and 53 only. It cannot be written as the product of any other numbers.

53 = 1 x 53

How do you find prime numbers?

To know if a number is a composite number or a prime number we must make sure that the number must not be a multiple of any other number except itself and 1. It should only have these two factors. We can also check if the number is divisible by any of the numbers below 10. 

How do you confirm that 53 is a prime number?

Let us check for various divisibility rules for the number 53. 

1. The number does not end in 0, 2, 4, 6 or 8 so it is not divisible by 2
2. The sum of 53 is 5+3 = 8 which is not divisible by 3
3. The last two digits of the number which is 53 only is not a factor of 4
4. The number does not end in 0 or 5 so it is not divisible by 5
5. It is neither divisible by 2 nor 3 so 53 is not a multiple of 6
6. The last digit when multiplied by 2 gives 3 x 2 = 6. When we subtract 6 from 5 we get -1 which is not a multiple of 7 so it is not divisible by 7 either.
7. The number is not a multiple of 8 either.
8. The sum is not a multiple of 9 so it is not divisible by 9. 

Therefore, 53 is a prime number with two factors only, 1 and 53 itself.