You can determine if a number is divisible by 7 by using the following method:
E.g. 161 - Double the last digit (2 x 1 = 2)
Subtract 2 from the number formed by the the remaining digits in this case, 16 -2 = 14
If the result is divisible by 7 (14 /7 =2); then the original number is divisible by 7.
161 / 7 = 23
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.
for 2 digits... multiply the last digit by 5, add the result to the first digit... example... 63.. (3)(5)=15 15+6=21 21 is divisible by 7, so 63 is divisible by 7...
If a number is divisible by 5 and 7, it's divisible by 35.
Double the last digit and subtract the last digit from the remaining digits.
The divisibility rule for 42 isdivisibility by 2, ANDdivisibility by 3, ANDdivisibility by 7.Divisibility by 2 requires the number to be even. That means it must end in 0, 2, 4, 6 or 8.Divisibility by 3 requires that the digital root of the number is divisible by 3. That is, the sum of the digits is divisible by 3. If the first sum is large, you can calculate the digital root of the digital root (and again, if necessary) and check that for divisibility by 3.The divisibility rule for 7 is more difficult.Take the last digit (units).From the number formed by the remaining digit, subtract twice the last digit.If the answer is divisible by 7 (including zero or negative numbers), then the original number is divisible by 7.For large numbers, repeat the process to bring the number down to a manageable size.
you can't
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
A number is a multiple of 7623 if it's a multiple of 7, 9 and 121 at the same time 7623 = 3^2 x 7 x 11^2 = 9 x 7 x 121 A number is a multiple of 7 if the difference between twice the last digit and the rest of the number is a multiple of 7 A number is a multiple of 9 if the sum of the digits is a multiple of 9 A number is a multiple of 121 if the difference between 12 times the last digit and the rest of the number is a multiple of 121 For example 15246 is a multiple of 7 because 1524 - 6 x 2 = 1512 and 1512 is a multiple of 7. It's a multiple of 9 because 1 + 5 + 2 + 4 + 6 = 18 and 18 is a multiple of 9. It's a multiple of 121 because 1524 - 6 x 12 = 1452 and 1452 is a multiple of 121. Since it's a multiple of 7, 9 and 121 it means it's a multiple of 7623
7 is only divisible by 1 and itself.
If the number is also divisible by 2 and 3
Yes
By trying out whether you can divide it by different numbers. For one- or two-digit numbers, it is enough to test divisibility by 2, 3, 5, 7.
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.
for 2 digits... multiply the last digit by 5, add the result to the first digit... example... 63.. (3)(5)=15 15+6=21 21 is divisible by 7, so 63 is divisible by 7...