Scale Factor Calculator

Calculate the scale factor between two similar shapes or figures. Enter the original and new dimensions to find the scale factor, or enter a scale factor to convert dimensions.

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How to use this tool?

How to Use the Scale Factor Calculator

This calculator works in two modes. All inputs accept any positive or negative non-zero numbers (metric or imperial units).

  • Find Scale Factor (default): Enter the Original Dimension and New Dimension. Click Calculate to get the scale factor (New ÷ Original).
  • Apply Scale Factor: Select "Apply Scale Factor" from the Mode dropdown. Enter the Original Dimension and Scale Factor. Click Calculate to get the new dimension (Original × Scale Factor).

Tips:

  • All fields must be non-zero numbers. Decimals are allowed.
  • Results are rounded to 4 decimal places.
  • Use consistent units (e.g., all in inches or all in cm) for accurate results.

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Frequently Asked Questions

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is the ratio of the length of a side of an image to the length of the corresponding side of the original figure.

To find the scale factor, divide the new dimension by the original dimension. For example, if the original length is 10 and the new length is 20, the scale factor is 20/10 = 2.

Yes, a scale factor less than 1 indicates a reduction (the new figure is smaller). A scale factor greater than 1 indicates an enlargement.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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