Edward Chavez
Every number has a test for divisibility. The issue is that the tests get more complicated as the divisor increases. For primes up to 50, see either of the attached links.
all even numbers
Yes
A number is divisible by 6 if the number is divisible by 2 AND 3.
To test divisibility for 20, you need to use the tests for divisibility by 4 and 5.The test for divisibility by 4 is that the last 2 digits of the number, given as a 2-digit number, are divisible by 4.Example for 4:We are testing the number 11042.42/4 = 10.5 which is not a whole number. Therefore 11042 is not divisible by 4.The test for divisibility by 5 is that the last digit of the number is either 5 or 0.
Edward Chavez
Every number has a test for divisibility. The issue is that the tests get more complicated as the divisor increases. For primes up to 50, see either of the attached links.
all even numbers
If the number is also divisible by 2 and 3
Yes
It is divisibility by 3 and divisibility by 5.Divisibility by 3: the digital root of an integer is obtained by adding together all the digits in the integer, with the process repeated if required. If the final result is 3, 6 or 9, then the integer is divisible by 3.Divisibility by 5: the integer ends in 0 or 5.
A number is divisible by 6 if the number is divisible by 2 AND 3.
17 can only be divided by itself and one because it's a prime number.
You can test successive prime numbers to see if your number is divisible by them, but knowing the divisibility rules will help you eliminate some steps, depending on what your number is. If your number is odd, you don't have to test for 2. If the sum of your number's digits do not total a multiple of 3, you don't have to test for 3. If your number doesn't end in a 5 or 0, you don't have to test for 5. Just by looking at your number, you can include or eliminate the three most common primes if you know the rules of divisibility.
To determine if 2558 is a prime number, you would typically test divisibility by numbers up to the square root of 2558. The square root of 2558 is approximately 50.58. Therefore, you would test divisibility by prime numbers up to 51. The greatest prime number less than or equal to 51 is 47, so you would test divisibility by 47 to determine if 2558 is a prime number.
Here is a very simple algorithm: Call your number "n". You might test divisibility by every number, starting at 2. If the first number by which a number is divisible is equal to "n", then it is a prime number. - Faster algorithms are possible; for example, you really only need to test divisibility by all numbers, up to the square root of your number "n".Here is a very simple algorithm: Call your number "n". You might test divisibility by every number, starting at 2. If the first number by which a number is divisible is equal to "n", then it is a prime number. - Faster algorithms are possible; for example, you really only need to test divisibility by all numbers, up to the square root of your number "n".Here is a very simple algorithm: Call your number "n". You might test divisibility by every number, starting at 2. If the first number by which a number is divisible is equal to "n", then it is a prime number. - Faster algorithms are possible; for example, you really only need to test divisibility by all numbers, up to the square root of your number "n".Here is a very simple algorithm: Call your number "n". You might test divisibility by every number, starting at 2. If the first number by which a number is divisible is equal to "n", then it is a prime number. - Faster algorithms are possible; for example, you really only need to test divisibility by all numbers, up to the square root of your number "n".