Scale Factor Between Sizes
Calculator

Inputs

Scale factor
2.828571

Results

Scale factor
2.828571
Scale (%)
282.857142
Area factor
8.000816

Design and print results

Scale factor2.828571
Scale (%)282.857142
Area factor8.000816

formula-map diagram

Scale factor
2.828571
Scale (%)
282.857142
Area factor
8.000816

Formula breakdown

Formula

scale = output size ÷ source size

= 2.8285714285714

Note

Simplified model: these are standard prepress and typographic relationships computed on nominal values. Real press bulk, paper caliper and shrinkage, ink limits for a given profile, font metrics and binding allowances vary by supplier and by job, so confirm with your printer and a proof before going to press.

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Frequently asked questions

How is a scale factor between two sizes calculated?+

Divide the target size by the original size (using the same unit for both): a scale factor of 2 means the new size is twice as large, while 0.5 means it's half. Apply the same factor to both width and height to preserve proportions.

Can I use a different scale factor for width and height?+

You can, but doing so distorts the original proportions, stretching or squashing the image or object rather than scaling it uniformly. Use a single factor unless intentional distortion is the goal.

How do I use a scale factor to enlarge a model or drawing for printing?+

Multiply every original dimension by the calculated factor to get the enlarged dimensions. A scale factor of 4 applied to a 2-inch part produces an 8-inch printed version, keeping every proportion and internal measurement consistent.

What's the difference between a scale factor and a scale ratio like 1:50?+

They express the same relationship differently — a ratio of 1:50 means the real object is 50 times larger than the model, which is mathematically the same as a scale factor of 1/50 (0.02) applied to the real size to get the model size.

Why does my scaled object look correct in one dimension but off in another?+

You likely applied the scale factor to only one dimension or mixed up which direction (enlarging vs. shrinking) the factor should go. Double-check whether you're multiplying or dividing by the factor based on whether you're scaling up or down.