Fact Families worksheet with house-shaped diagrams for practicing multiplication and division equations.

Let’s solve each “fact family” house one by one.

A fact family uses 3 numbers to make 4 math facts:
→ 2 multiplication facts
→ 2 division facts

The big number on top of the house is usually the product (for multiplication) or the dividend (for division). The two smaller numbers at the bottom are the factors (for multiplication) or divisor and quotient (for division).

We’ll go house by house.

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House 1: Numbers 6, 2, 8? Wait — that doesn’t work.

Wait — look again. First house has:

Top: 6
Bottom left: 2
Bottom right: 8

But 2 × 8 = 16, not 6. That can’t be right.

Actually — let me check the image again carefully.

Looking at first house: Top is 6, bottom left is 2, bottom right is ? — wait, in the image it says “8”? But 2 × ? = 6 → ? = 3. So maybe it’s a typo? Or did I misread?

Wait — no! Let me re-express what’s written:

First house:
- Top: 6
- Bottom left: 2
- Bottom right: 3? No — in your image description, you said “2 ___ 8” for first house? That must be wrong.

Hold on — let me reconstruct from standard fact families.

Actually, looking at the second house: top=6, bottom=2 and 3 → 2×3=6 → that works.

Third house: top=10, bottom=2 and 5 → 2×5=10 → good.

Fourth house: top=12, bottom=2 and 6 → 2×6=12 → good.

Fifth house: top=14, bottom=2 and 7 → 2×7=14 → good.

Sixth house: top=8, bottom=2 and 4 → 2×4=8 → good.

So first house must be: top=6, bottom=2 and 3 — because 2×3=6.

But in your text you wrote “2 ___ 8” — that must be a mistake. Probably it’s “2 ___ 3”.

I think there was a transcription error. Let me assume the first house is:

Top: 6
Bottom: 2 and 3

Because otherwise it doesn’t form a fact family.

Similarly, all other houses have 2 as one bottom number, and the other bottom number times 2 equals the top.

So let’s proceed with corrected assumption:

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✔ House 1: 6, 2, 3
→ 2 × 3 = 6
→ 3 × 2 = 6
→ 6 ÷ 2 = 3
→ 6 ÷ 3 = 2

✔ House 2: 6, 2, 3 → same as above? Wait no — second house also says top=6, bottom=2 and 3? That would be duplicate.

Wait — let me list them as per your original input:

You wrote:

House 1: top=6, bottom=2 and 8 → but 2×8≠6 → invalid.

House 2: top=6, bottom=2 and 3 → valid.

House 3: top=10, bottom=2 and 5 → valid.

House 4: top=12, bottom=2 and 6 → valid.

House 5: top=14, bottom=2 and 7 → valid.

House 6: top=8, bottom=2 and 4 → valid.

So only House 1 seems off. Perhaps it’s a typo and should be top=16? Because 2×8=16.

Or maybe bottom right is 3, not 8.

Given that all others follow pattern: top = 2 × other bottom number.

For House 1: if bottom is 2 and 8, then top should be 16.

But you wrote top=6.

Alternatively, if top=6 and bottom=2, then other bottom should be 3.

I think the most likely correction is: House 1 bottom right is 3, not 8.

Perhaps it was misread — “3” looks like “8” if handwritten poorly? Unlikely.

Another possibility: maybe the first house is 6, 2, and 3 — and “8” is a mistake in your transcription.

Since this is a common worksheet, and fact families always use 3 related numbers, I will assume House 1 is meant to be 6, 2, 3.

Otherwise, we can’t solve it.

So proceeding with:

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House 1: 6, 2, 3

Multiplication:
2 × 3 = 6
3 × 2 = 6

Division:
6 ÷ 2 = 3
6 ÷ 3 = 2

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House 2: 6, 2, 3 — same as above? That seems odd. Maybe it’s different?

Wait — in your initial message, you said:

“first house: 6 over 2 and 8”

“second house: 6 over 2 and 3”

That would mean two houses with same numbers? Possible, but unusual.

Perhaps first house is 16, 2, 8? Let me check online or standard worksheets.

Upon second thought — let’s calculate based on what makes sense.

If House 1 has top=6, bottom=2 and x, then x=3.

If bottom=2 and 8, top must be 16.

Given that House 6 is 8,2,4 — which is correct.

House 3 is 10,2,5 — correct.

So perhaps House 1 is miswritten, and should be 16,2,8.

Let me verify with logic: 2×8=16, so fact family for 16,2,8:

2×8=16
8×2=16
16÷2=8
16÷8=2

That works.

And House 2 is 6,2,3 — which is fine.

So probably, the first house top number is 16, not 6. Likely a typo in your description.

In many such worksheets, they include 16,2,8.

So I’ll go with that.

Final decision:

House 1: 16, 2, 8
House 2: 6, 2, 3
House 3: 10, 2, 5
House 4: 12, 2, 6
House 5: 14, 2, 7
House 6: 8, 2, 4

Now solve each.

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House 1: 16, 2, 8

× : 2 × 8 = 16
× : 8 × 2 = 16
÷ : 16 ÷ 2 = 8
÷ : 16 ÷ 8 = 2

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House 2: 6, 2, 3

× : 2 × 3 = 6
× : 3 × 2 = 6
÷ : 6 ÷ 2 = 3
÷ : 6 ÷ 3 = 2

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House 3: 10, 2, 5

× : 2 × 5 = 10
× : 5 × 2 = 10
÷ : 10 ÷ 2 = 5
÷ : 10 ÷ 5 = 2

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House 4: 12, 2, 6

× : 2 × 6 = 12
× : 6 × 2 = 12
÷ : 12 ÷ 2 = 6
÷ : 12 ÷ 6 = 2

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House 5: 14, 2, 7

× : 2 × 7 = 14
× : 7 × 2 = 14
÷ : 14 ÷ 2 = 7
÷ : 14 ÷ 7 = 2

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House 6: 8, 2, 4

× : 2 × 4 = 8
× : 4 × 2 = 8
÷ : 8 ÷ 2 = 4
÷ : 8 ÷ 4 = 2

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All done. Each house has 4 equations.

Now, to write the final answer clearly.

Final Answer:

House 1 (16, 2, 8):
2 × 8 = 16
8 × 2 = 16
16 ÷ 2 = 8
16 ÷ 8 = 2

House 2 (6, 2, 3):
2 × 3 = 6
3 × 2 = 6
6 ÷ 2 = 3
6 ÷ 3 = 2

House 3 (10, 2, 5):
2 × 5 = 10
5 × 2 = 10
10 ÷ 2 = 5
10 ÷ 5 = 2

House 4 (12, 2, 6):
2 × 6 = 12
6 × 2 = 12
12 ÷ 2 = 6
12 ÷ 6 = 2

House 5 (14, 2, 7):
2 × 7 = 14
7 × 2 = 14
14 ÷ 2 = 7
14 ÷ 7 = 2

House 6 (8, 2, 4):
2 × 4 = 8
4 × 2 = 8
8 ÷ 2 = 4
8 ÷ 4 = 2