Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

To solve the problem, we will use the divisibility rules provided in the image to determine whether each number is divisible by the specified numbers (2, 3, 4, 5, 6, and 9). Let's go through each section step by step.

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Divisibility by 2

A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8.

- 56: Ends in 6 → Yes
- 101: Ends in 1 → No
- 250: Ends in 0 → Yes
- 3,077: Ends in 7 → No
- 22,098: Ends in 8 → Yes

Answers:
- 56: Yes
- 101: No
- 250: Yes
- 3,077: No
- 22,098: Yes

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Divisibility by 3

A number is divisible by 3 if the sum of its digits is a multiple of 3.

- 66: \(6 + 6 = 12\) (multiple of 3) → Yes
- 113: \(1 + 1 + 3 = 5\) (not a multiple of 3) → No
- 255: \(2 + 5 + 5 = 12\) (multiple of 3) → Yes
- 3,078: \(3 + 0 + 7 + 8 = 18\) (multiple of 3) → Yes
- 10,125: \(1 + 0 + 1 + 2 + 5 = 9\) (multiple of 3) → Yes

Answers:
- 66: Yes
- 113: No
- 255: Yes
- 3,078: Yes
- 10,125: Yes

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Divisibility by 4

A number is divisible by 4 if the last two digits form a number that is a multiple of 4.

- 82: Last two digits are 82 (not a multiple of 4) → No
- 116: Last two digits are 16 (multiple of 4) → Yes
- 114: Last two digits are 14 (not a multiple of 4) → No
- 3,072: Last two digits are 72 (multiple of 4) → Yes
- 16,164: Last two digits are 64 (multiple of 4) → Yes

Answers:
- 82: No
- 116: Yes
- 114: No
- 3,072: Yes
- 16,164: Yes

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Divisibility by 5

A number is divisible by 5 if it ends in 0 or 5.

- 74: Ends in 4 → No
- 125: Ends in 5 → Yes
- 280: Ends in 0 → Yes
- 1,090: Ends in 0 → Yes
- 24,013: Ends in 3 → No

Answers:
- 74: No
- 125: Yes
- 280: Yes
- 1,090: Yes
- 24,013: No

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Divisibility by 6

A number is divisible by 6 if it is divisible by both 2 and 3.

- 72: Divisible by 2 (ends in 2) and divisible by 3 (\(7 + 2 = 9\), multiple of 3) → Yes
- 112: Divisible by 2 (ends in 2) but not divisible by 3 (\(1 + 1 + 2 = 4\), not a multiple of 3) → No
- 246: Divisible by 2 (ends in 6) and divisible by 3 (\(2 + 4 + 6 = 12\), multiple of 3) → Yes
- 2,208: Divisible by 2 (ends in 8) and divisible by 3 (\(2 + 2 + 0 + 8 = 12\), multiple of 3) → Yes
- 17,333: Not divisible by 2 (ends in 3) → No

Answers:
- 72: Yes
- 112: No
- 246: Yes
- 2,208: Yes
- 17,333: No

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Divisibility by 9

A number is divisible by 9 if the sum of its digits is a multiple of 9.

- 89: \(8 + 9 = 17\) (not a multiple of 9) → No
- 117: \(1 + 1 + 7 = 9\) (multiple of 9) → Yes
- 414: \(4 + 1 + 4 = 9\) (multiple of 9) → Yes
- 6,021: \(6 + 0 + 2 + 1 = 9\) (multiple of 9) → Yes
- 99,899: \(9 + 9 + 8 + 9 + 9 = 44\) (not a multiple of 9) → No

Answers:
- 89: No
- 117: Yes
- 414: Yes
- 6,021: Yes
- 99,899: No

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Final Answer

Combining all the results:

| Divisible by 2? | Divisible by 3? | Divisible by 4? | Divisible by 5? | Divisible by 6? | Divisible by 9? |
|------------------|------------------|------------------|------------------|------------------|------------------|
| 56: Yes | 66: Yes | 82: No | 74: No | 72: Yes | 89: No |
| 101: No | 113: No | 116: Yes | 125: Yes | 112: No | 117: Yes |
| 250: Yes | 255: Yes | 114: No | 280: Yes | 246: Yes | 414: Yes |
| 3,077: No | 3,078: Yes | 3,072: Yes | 1,090: Yes | 2,208: Yes | 6,021: Yes |
| 22,098: Yes | 10,125: Yes | 16,164: Yes | 24,013: No | 17,333: No | 99,899: No |

$$
\boxed{
\begin{array}{c|c|c|c|c|c}
\text{Divisible by 2?} & \text{Divisible by 3?} & \text{Divisible by 4?} & \text{Divisible by 5?} & \text{Divisible by 6?} & \text{Divisible by 9?} \\
\hline
56: \text{Yes} & 66: \text{Yes} & 82: \text{No} & 74: \text{No} & 72: \text{Yes} & 89: \text{No} \\
101: \text{No} & 113: \text{No} & 116: \text{Yes} & 125: \text{Yes} & 112: \text{No} & 117: \text{Yes} \\
250: \text{Yes} & 255: \text{Yes} & 114: \text{No} & 280: \text{Yes} & 246: \text{Yes} & 414: \text{Yes} \\
3,077: \text{No} & 3,078: \text{Yes} & 3,072: \text{Yes} & 1,090: \text{Yes} & 2,208: \text{Yes} & 6,021: \text{Yes} \\
22,098: \text{Yes} & 10,125: \text{Yes} & 16,164: \text{Yes} & 24,013: \text{No} & 17,333: \text{No} & 99,899: \text{No} \\
\end{array}
}
$$