Math Dictionary / Scale Factor

Scale Factor

A scale factor is the number used to multiply side lengths when making a similar figure larger or smaller.

Ratios and ProportionsGrade 7Grade 8Algebra 1SATACT

What it means

It tells how much a figure is enlarged or reduced.

Also called: dilation factor

Examples

A scale factor of 2 doubles every length
A scale factor of 1/2 makes lengths half as large
Scale drawings use scale factors

Common mistake

A scale factor changes lengths, but area changes by the square of the scale factor.

Try one

Question: A side length 5 is enlarged by scale factor 3. What is the new length?

Show answer

15.

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