Find the correct divisibility of 345

A. 5

B. 4

C. 2

D. 3

To determine the correct divisibility of the number 345, we can analyze it against the provided options: 5, 4, 2, and 3. Each of these numbers has specific rules that help us figure out whether 345 can be evenly divided by them.

Checking Divisibility by 5

A number is divisible by 5 if it ends in either 0 or 5. Since 345 ends in 5, it is divisible by 5.

Evaluating Divisibility by 4

For a number to be divisible by 4, the last two digits must form a number that is divisible by 4. The last two digits of 345 are 45. When we divide 45 by 4, we get 11.25, which is not an integer. Therefore, 345 is not divisible by 4.

Assessing Divisibility by 2

A number is divisible by 2 if it is even, meaning it ends in 0, 2, 4, 6, or 8. Since 345 ends in 5, it is odd and thus not divisible by 2.

Determining Divisibility by 3

To check if a number is divisible by 3, we can sum its digits and see if that sum is divisible by 3. The digits of 345 are 3, 4, and 5. Adding them together gives us:

• 3 + 4 + 5 = 12

Since 12 is divisible by 3 (12 ÷ 3 = 4), we conclude that 345 is also divisible by 3.

Summary of Findings

Based on our analysis:

• Divisible by 5: Yes
• Divisible by 4: No
• Divisible by 2: No
• Divisible by 3: Yes

Thus, the correct answers for the divisibility of 345 are options A (5) and D (3). If you have any more questions or need further clarification, feel free to ask!