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Scale Factor Calculator

This calculator helps you find the scale factor between two corresponding lengths of similar figures or when an object has been enlarged or reduced. Just enter the original and new lengths, and we'll do the rest.

Enter the initial length (e.g., 10 cm, 5 inches).

Enter the scaled length (e.g., 25 cm, 2 inches).

How it works

This calculator helps you find the scale factor between two corresponding lengths of similar figures or when an object has been enlarged or reduced. Just enter the original and new lengths, and we'll do the rest.


The Formula
Scale Factor = New Length / Original Length

Worked Example
  1. Example: Scaling a Photograph

    Imagine you have a photograph that is 10 cm wide (Original Length). You want to enlarge it so the new width is 25 cm (New Length). To find the scale factor, you'd calculate 25 cm / 10 cm = 2.5. The scale factor is 2.5, meaning the new photo is 2.5 times larger than the original.


Tips, Assumptions & Limitations
  • A scale factor greater than 1 indicates an enlargement.
  • A scale factor between 0 and 1 indicates a reduction.
  • A scale factor of exactly 1 means the object's size has not changed.
  • Ensure both lengths are in the same units before calculating.
FAQ

A scale factor is a number that describes how much a figure or object has been enlarged or reduced. It's the ratio of a new length to its corresponding original length.

In geometry, you use a scale factor to find missing side lengths in similar figures. If you know the scale factor, you can multiply any original length by it to get the corresponding new length, or divide a new length by it to get the original.

Yes, absolutely! If the scale factor is less than 1 (but greater than 0), it means the new figure is a reduction of the original. For example, a scale factor of 0.5 means the new figure is half the size of the original.

For the scale factor to be a pure ratio without units, both the original and new lengths must be expressed in the same unit (e.g., both in centimetres, both in inches). If they are different, you'll need to convert one before calculating.

Companion article

Scale Factor Explained: How to Calculate Enlargements and Reductions

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