is 203 prime number
No, 203 is not a prime number because it is divisible by factors other than 1 and itself. Specifically, it can be divided evenly by 7 and 29 in addition to 1 and 203.
To determine if a number is prime, you need to check if it is divisible only by 1 and itself. Let's check if 203 is a prime number step-by-step:
Step 1: Find the square root of 203: √203 ≈ 14.27
Step 2: Test for divisibility by prime numbers up to 14 (the square root rounded up).
Starting from 2: 203 ÷ 2 = 101.5 (not divisible)
Starting from 3: 203 ÷ 3 = 67.67 (not divisible)
Starting from 5: 203 ÷ 5 = 40.6 (not divisible)
Starting from 7: 203 ÷ 7 = 29 (not divisible)
Starting from 11: 203 ÷ 11 = 18.45 (not divisible)
Starting from 13: 203 ÷ 13 = 15.61 (not divisible)
Step 3: Since we've checked all prime numbers up to the square root of 203 and it was not divisible by any of them, we can conclude that 203 is a prime number.
So, the answer is: Yes, 203 is a prime number.
To determine if 203 is a prime number, we need to check if it is divisible by any number other than 1 and itself.
To do this, we can start by dividing it by 2, then 3, then 4, and so on, up to the square root of 203. If we find any divisor, then 203 is not a prime number.
Let's check:
The square root of 203 is approximately 14.249. So, we'll check if 203 is divisible by any number from 2 to 14.
Dividing 203 by 2 gives us a quotient of 101.5, which indicates that 203 is not divisible by 2.
Dividing 203 by 3 gives us a quotient of 67.6666667, which also indicates that 203 is not divisible by 3.
Continuing this process, we still do not find any divisor, so 203 is not divisible by any number from 2 to 14.
Therefore, we can conclude that 203 is a prime number.