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Perform the divisibility test of a number by 1 to 15 for
Solution:
Consider the given number above
Without using a calculator, we can perform the divisibility test by using divisibility rules.
Divisibility by 1:
All numbers are divisible by 1 because 1 is a universal factor. Any number divided by 1 is always the same number.
Divisibility by 2:
Since the given number is an even number, then it is divisible by 2. All even numbers are divisible by 2.
Divisibility by 3:
To test a given number, add all the digits of a given number as follows
Since 9 is a multiple of 3, then the given number is divisible by 3.
Divisibility by 4:
Consider the given number
Since 80 which is the last two digits of a given number is a multiple of 4, then the given number is divisible by 4.
Divisibility by 5:
Since the last digit of a given number is 0, then the given number is divisible by 5. A number that ends with 5 or 0 is divisible by 5.
Divisibility by 6:
Since the given number is both divisible by 2 and 3, then it is divisible by 6.
Divisibility by 7:
To test a given number, double the last digit and then subtract it to the rest of the digits as follows
You can repeat the process as follows
Since -6 is not a multiple of 7, then the given number is not divisible by 7.
Divisibility by 8:
Consider the given number
Since 080 which is the last three digits of a given number is a multiple of 8, then the given number is divisible by 8.
Divisibility by 9:
To test a given number, add all the digits of a given number as follows
Since 9 is a multiple of 9, then the given number is divisible by 9.
Divisibility by 10:
Since the last digit of a given number ends with 0, then the given number is divisible by 10. A number that ends with 0 is divisible by 10.
Divisibility by 11:
To test a given number, create two groups of the sum of alternating digits and then get their difference as follows
Since 9 is not a multiple of 11, then the given number is not divisible by 11.
Divisibility by 12:
Since the given number is both divisible by 3 and 4, then it is divisible by 12.
Divisibility by 13:
To test a given number, multiply the last digit by 4 and then add it to the rest of the digits as follows
You can repeat the process as follows
Since 42 is not a multiple of 13, then the given number is not divisible by 13.
Divisibility by 14:
Although the given number is an even number but it is not divisible by 7. Because of this, the given number is not divisible by 14.
Divisibility by 15:
Since the given number is both divisible by 3 and 5, then it is divisible by 15.
Therefore,
1080 is divisible by 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, and 15.