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Name: Date: 2.1 Tests for Divisibility and Prime Numbers Conceptual Match the phrase on the left with its equivalent term on the right. 1. divisible by 2 a. 1 2. Numbers that have exactly two different
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How to fill out 21 tests for divisibility

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How to fill out 21 tests for divisibility:

01
Identify the number you want to test for divisibility. Let's say it's 84.
02
Start with the simplest test for divisibility, which is checking if the number is divisible by 2. In our case, 84 is divisible by 2 because it ends with an even digit.
03
Move on to testing for divisibility by 3. Add up all the digits of the number. If the sum is divisible by 3, then the original number is divisible by 3 as well. In our case, 8 + 4 = 12, which is divisible by 3.
04
Continue to test for divisibility by 4. This test involves checking if the last two digits of the number form a number that is divisible by 4. In our case, 84 is divisible by 4 because 84 itself is divisible by 4.
05
Test for divisibility by 5. If the number ends with 0 or 5, it is divisible by 5. In our case, 84 is not divisible by 5 as it doesn't end with 0 or 5.
06
Proceed to test for divisibility by 6. This test checks if the number is divisible by both 2 and 3. Since we already determined that 84 is divisible by 2 and 3, it is also divisible by 6.
07
Move on to testing for divisibility by 7. This test is more complex and involves subtracting twice the digit in the one's place from the remaining digits. If the result is divisible by 7, then the original number is divisible by 7. In our case, 8 - (2 * 4) = 8 - 8 = 0, which is divisible by 7.
08
Test for divisibility by 8. Check if the last three digits of the number form a number that is divisible by 8. In our case, 84 is not divisible by 8.
09
Continuing the process, test for divisibility by 9. Add up all the digits of the number and check if the sum is divisible by 9. In our case, 8 + 4 = 12, which is not divisible by 9.
10
Proceed to test for divisibility by 10. If the number ends with 0, then it is divisible by 10. In our case, 84 is not divisible by 10.
11
Keep going with the tests until all 21 tests are complete.

Who needs 21 tests for divisibility?

01
Individuals studying or teaching mathematics.
02
Students learning about number theory or divisibility rules in school.
03
Math enthusiasts who enjoy exploring number patterns and properties.
04
Professionals in fields like cryptography or computer science, where a deep understanding of divisibility can be important.
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21 tests for divisibility is a method to check if a number is divisible by another number without actually dividing.
Anyone who needs to determine if a number is divisible by another number can use the 21 tests for divisibility method.
To fill out 21 tests for divisibility, one needs to follow the specific rules and steps outlined in the method.
The purpose of 21 tests for divisibility is to quickly and efficiently determine if a number is divisible by another number.
The results of each test and whether the number is divisible by the other number or not.
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