Question

Is 113 divisible by 4? Please explain how you know if a number is divisible by 4. Is 72 divisible by 6? How do you know if a number is divisible by 6?

a. Yes; Divisible by 4 means the last two digits are divisible by 4. No. Divisible by 6 means it's divisible by 2 and 3.
b. No; Divisible by 4 means the sum of digits in the hundreds and ones place is divisible by 4. Yes. Divisible by 6 means it's divisible by 2 and 3.
c. Yes; Divisible by 4 means the sum of digits in the tens and ones place is divisible by 4. No. Divisible by 6 means the last digit is even.
d. No; Divisible by 4 means the sum of digits is divisible by 4. Yes. Divisible by 6 means it's divisible by 2 and 3.

Answer 1

113 is not divisible by 4 because the last two digits (13) do not form a number divisible by 4. However, 72 is divisible by 6 because it is both even and the sum of its digits is divisible by 3.

Step-by-step explanation:

The number 113 is not divisible by 4. We know a number is divisible by 4 if the last two digits form a number that can be divided evenly by 4. In the case of 113, the last two digits are 13, which cannot be divided evenly by 4, leaving a remainder. Hence, the correct answer to whether 113 is divisible by 4 is 'No'.
On the other hand, 72 is divisible by 6. A number is divisible by 6 if it meets two conditions: it must be divisible by 2 (the last digit is even), and it must be divisible by 3 (the sum of its digits must be divisible by 3). Since 72 is even and the sum of its digits (7 + 2) equals 9, which is divisible by 3, we can conclude 72 is indeed divisible by 6. Therefore, the answer to the second question is 'Yes'.