Factorization - Free Printable

Let's solve the "Rainbow Factors" worksheet step by step.

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🔷 Objective:

For each number at the top of the rainbow (like 20, 10, 8, etc.), we need to find all factor pairs — that is, two numbers that multiply together to give the target number. Then, write those pairs in the colored circles along the rainbow arcs.

Each rainbow has two arches, and the factor pairs go on the left and right sides of the rainbow. The number at the top is the product of the pair.

We’ll go through each rainbow one by one.

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🌈 1. Rainbow with 20

We want all factor pairs of 20:
- 1 × 20 = 20 → (1, 20)
- 2 × 10 = 20 → (2, 10)
- 4 × 5 = 20 → (4, 5)

So the factor pairs are:
(1,20), (2,10), (4,5)

But looking at the image, there are already some filled in:
- Left side: 1, 2, 4
- Right side: 20, 10, 5

So this one is complete ✔

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🌈 2. Rainbow with 20 (second one)

Same as above: 20

Factor pairs:
- 1 × 20
- 2 × 10
- 4 × 5

In the image:
- Left side: 1, 2, 4
- Right side: 20, 10, 5

Already complete ✔

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🌈 3. Rainbow with 10

Factor pairs of 10:
- 1 × 10 = 10
- 2 × 5 = 10

So pairs: (1,10), (2,5)

In the image:
- Left: 1, 2
- Right: 10, 5

✔ Complete

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🌈 4. Rainbow with 18

Factor pairs of 18:
- 1 × 18 = 18
- 2 × 9 = 18
- 3 × 6 = 18

So pairs: (1,18), (2,9), (3,6)

In the image:
- Left: 1, 2, 3
- Right: 18, 9, 6

✔ Complete

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🌈 5. Rainbow with 8

Factor pairs of 8:
- 1 × 8 = 8
- 2 × 4 = 8

(Also 4×2 and 8×1, but we list unique pairs in order.)

So pairs: (1,8), (2,4)

In the image:
- Left: 1, 2
- Right: 8, 4

✔ Complete

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🌈 6. Rainbow with 26

Factor pairs of 26:
- 1 × 26 = 26
- 2 × 13 = 26

So pairs: (1,26), (2,13)

In the image:
- Left: 1, 2
- Right: 26, 13

✔ Complete

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🌈 7. Rainbow with 15

Factor pairs of 15:
- 1 × 15 = 15
- 3 × 5 = 15

So pairs: (1,15), (3,5)

In the image:
- Left: 1, 3
- Right: 15, 5

✔ Complete

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🌈 8. Rainbow with 12

Factor pairs of 12:
- 1 × 12 = 12
- 2 × 6 = 12
- 3 × 4 = 12

So pairs: (1,12), (2,6), (3,4)

In the image:
- Left: 1, 2, 3
- Right: 12, 6, 4

✔ Complete

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🌈 9. Rainbow with 24

Factor pairs of 24:
- 1 × 24 = 24
- 2 × 12 = 24
- 3 × 8 = 24
- 4 × 6 = 24

So pairs: (1,24), (2,12), (3,8), (4,6)

In the image:
- Left: 1, 2, 3, 4
- Right: 24, 12, 8, 6

✔ Complete

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✔ Final Check:

All rainbows have been completed correctly! Every number has its full set of factor pairs listed in the circles.

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💡 Summary:

This activity helps students practice:
- Finding factor pairs of a number
- Understanding multiplication facts
- Recognizing prime vs composite numbers (e.g., 10, 12, 20, etc. are composite; 26 is also composite, but only has two factor pairs)

It’s a fun visual way to learn factors using the rainbow pattern!

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✔ Answer: All factor pairs are correctly filled in. The worksheet is complete.