Divisibility Rules for 2, 4, and 10 Practice Problems

To determine if the number 10 is divisible by 4, follow these steps:

• Step 1: Perform Division
  Divide 10 by 4. Calculate $\frac{10}{4}$.
• Step 2: Check Result for Integer
  If $\frac{10}{4} = 2.5$, the result is not an integer.
• Step 3: Confirm Remainder
  Determine the remainder when 10 is divided by 4. $10 \div 4$ gives a quotient of 2 and a remainder of 2.
• Step 4: Conclusion on Divisibility
  Since there is a remainder, 10 is not divisible by 4.

Therefore, the number 10 is not divisible by 4. The correct answer is No.

To determine if the number 15 is divisible by 2, we will apply the rule for divisibility by 2:

• A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.

Now, let's follow these steps:

Step 1: Identify the last digit of the number 15. The last digit is 5.

Step 2: Compare this digit with the criteria for divisibility by 2. The digit 5 is not in the set of digits {0, 2, 4, 6, 8}.

Since the last digit of 15 is not one of the digits that makes a number divisible by 2, 15 is not divisible by 2.

Therefore, the conclusion is clear: the number 15 is not divisible by 2.

To determine if the number 60 is divisible by 10, we will apply the divisibility rule for 10:

• Step 1: Identify the last digit of the number 60. The last digit is 0.
• Step 2: Apply the divisibility rule: A number is divisible by 10 if its last digit is 0.

Since the last digit of 60 is 0, we conclude that 60 is divisible by 10.

Therefore, the answer to the question is Yes.

To determine if the number 60 is divisible by 4, we will apply the divisibility rule for 4:

• According to the rule, a number is divisible by 4 if the number formed by its last two digits is divisible by 4.
• In this case, the last two digits of 60 are "60".
• We need to check if 60 is divisible by 4. This involves dividing 60 by 4:

$\frac{60}{4} = 15$

The division yields a quotient of 15 with no remainder, which indicates that 60 is indeed divisible by 4.

Given that the quotient is a whole number, we can confidently conclude that the number 60 is divisible by 4.

Hence, the answer to the question is Yes.

We will solve the problem of determining whether 16 is divisible by 4 using a straightforward division method:

Step 1: Perform the division of 16 by 4.
Dividing $16 \div 4 = 4$. This division results in an integer without a remainder.

Step 2: Check the result:
Since the quotient 4 is an integer and there is no remainder, 16 is divisible by 4.

In conclusion, since the division of 16 by 4 yields an integer, 16 is divisible by 4 without a remainder. Therefore, the number 16 is indeed divisible by 4.

Thus, the answer to the problem is Yes, corresponding to choice 1.