# Scale Calculator – Convert Measurements to a Scaled Size

Scale a measurement to a larger or smaller measurement, which is useful for architecture, modelling, and other projects. You can also add the real size and scaled side to find the scale factor.

## Find the Scaled Size

## Find the Scale Factor

## Scaled Results:

## How to Scale a Measurement Larger or Smaller

Making a measurement smaller or larger requires a common scale factor, which can be used to multiply or divide all measurements by.

To scale a measurement to a smaller measurement, for instance when making a blueprint, simply divide the real measurement by the scale factor. The scale factor is commonly expressed as **1:n** or **1/n**, where **n** is the factor. For example, if the scale factor is 1:8 and the real measurement is 32, divide 32 ÷ 8 = 32.

To scale a measurement to a larger measurement simply multiply the real measurement by the scale factor. For example, if the scale factor is 1:8 and the scaled measurement is 4, multiply 4 × 8 = 32.

## Reducing the Scale Factor

The methods above to scale a measurement assume the scale factor is in the form of **1:n** or **1/n**, which means some additional work is needed if the ratio is 2:3, for example. When the scale factor is not in an even 1:n ratio it will need to be reduced to 1:n. Use our ratio calculator to reduce a ratio. A ratio can also be reduced by dividing both the numerator and the denominator by the numerator.

**For example**, 2/3 can be reduced by dividing both numbers by 2, which would be 1/1.5 or 1:1.5.

2 ÷ 2 = 1

3 ÷ 2 = 1.5

scale factor = 1:1.5

## Commonly Used Architectural Scales

Architectural Scale | Scale Factor |
---|---|

1/16″ = 1′ | 1:192 |

3/32″ = 1′ | 1:128 |

1/8″ = 1′ | 1:96 |

3/16″ = 1′ | 1:64 |

1/4″ = 1′ | 1:48 |

3/8″ = 1′ | 1:32 |

1/2″ = 1′ | 1:24 |

3/4″ = 1′ | 1:16 |

1″ = 1′ | 1:12 |

1 1/2″ = 1′ | 1:8 |

3″ = 1′ | 1:4 |