WorkedMathGlossary

Scale Factor Calculator

Find a scale factor between two lengths, or apply one to a length, below.

Scale Factor
2.5×

Finding a Scale Factor

Scale factor = scaled length ÷ original length.

Worked example

A model is scaled from 4 inches to 10 inches.

10 ÷ 4 = 2.5

Scale factor: 2.5×

Frequently Asked Questions

How do you find a scale factor?

Divide the new (scaled) length by the original length: scale factor = scaled ÷ original.

What does a scale factor greater than 1 mean?

It means the shape or object was enlarged. A scale factor between 0 and 1 means it was shrunk, and a scale factor of exactly 1 means the size didn't change.

Does scale factor apply to area and volume the same way as length?

No. If lengths scale by a factor k, area scales by k², and volume scales by k³ — this is why a small increase in a model's scale can mean a much larger increase in its volume.

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