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Divisibility by 1:
How do you know that a number is divisible by 1? Well, any number divided by 1 is the same number.
Example 1:
Example 2:
Divisibility by 2:
How do you know that a number is divisible by 2? Well, a number is divisible by 2 if a number ends with 0, 2, 4, 6, and 8. In short, all even numbers are divisible by 2.
Example 1:
Since 585 is not an even number, then it is not divisible by 2. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
Since 3006 is an even number, then it is divisible by 2. The answer or a quotient is a whole number and there's no fraction or remainder.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
By the way, we can do the division of a number without using a calculator or even a scratch paper and a pen. Let's consider this number
Let's start with 5 (left side). 5 divided by 2 is 2. We cannot say 3 because 2 times 3 is 6. 2 times 2 is 4 and that's the highest number that we can consider. 5 minus 4 is 1 and there's a remainder of 1 from the first digit.
Next, consider the next digit which is 8. Since you have a remainder of 1 from the first digit, then 8 becomes 18. 18 divided by 2 is 9. That's good that 18 is an even number or else we will have another remainder. When you divide any odd numbers by 2, the remainder is always 1.
Finally, consider the last digit which is 5. Since the second digit has no remainder, then we can use 5 in the division. 5 divided by 2 is 2. We cannot say 3 because 2 times 3 is 6. 2 times 2 is 4 and that's the highest number that we can consider. 5 minus 4 is 1. Therefore, the final answer is 292 and has a remainder of 1. 1 is the numerator in the fraction which is the remainder and 2 is the denominator which is the divisor.
Let's consider another number
Let's start with 3. 3 divided by 2 is 1. We cannot say 2 because 2 times 2 is 4. 2 times 1 is 2 and that's the highest number that we can consider. 3 minus 2 is 1 and there's a remainder of 1 from the first digit.
Next, consider the next digit which is 0. Since you have a remainder of 1 from the first digit, then 0 becomes 10. 10 divided by 2 is 5. That's good that 10 is an even number.
Next, consider the next digit which is 0. Since there's no remainder in the second digit, then we can use 0 in the division. 0 divided by 2 is 0. Zero divided by any number (except zero) is always equal to zero.
Finally, consider the last digit which is 6. Since there's no remainder in the third digit, then we can use 6 in the division. 6 divided by 2 is 3. That's good that 6 is an even number. Therefore, the final answer is 1503. The final answer is a whole number and has no remainder or a fraction.