Scale Factor Calculator
The Scale Factor Calculator determines the multiplier between two measurements. Enter original and scaled dimensions to find the scale factor, or apply a known factor to compute new sizes. Ideal for architectural blueprints, model building, map reading, and resizing artwork.
🕐 Recent Calculations
What is a Scale Factor?
A scale factor is the ratio between a scaled measurement and the corresponding original measurement. If a 12-meter wall is represented as 6 cm on a blueprint, the scale factor is 6/1200 = 1/200, or 1 : 200. The scale factor tells you how many times larger or smaller the representation is compared to reality.
Scale factors are used in architecture (floor plans), cartography (maps), model engineering (miniature replicas), photography (enlargements and reductions), and geometry (similar triangles). A scale factor greater than 1 means enlargement; less than 1 means reduction.
Fórmulas y Ecuaciones Utilizadas
Esta Scale Factor Calculator utiliza 5 ecuaciones principales:
1 Scale Factor Calculation ▼
Divide the new measurement by the original measurement. A 3 cm model of a 6 m object has a scale factor of 3/600 = 1/200.
2 Scaled Size from Factor ▼
Multiply the original measurement by the scale factor. A 10 m wall at 1:50 scale = 10 × (1/50) = 0.2 m = 20 cm.
3 Original Size from Scaled ▼
Divide the scaled measurement by the scale factor. A 4 cm line on a 1:100 map = 4 / (1/100) = 400 cm = 4 m.
Cómo Usar esta Calculadora
Para usar esta Calculadora de Relación, siga 3 pasos:
Ingrese los Valores
Escriba los valores de relación conocidos en los campos de entrada. Deje un campo vacío; ese es el valor desconocido que resuelve la Calculadora de Relación.
Elija el Modo
Seleccione el modo de relación: Resolver, Simplificar o Escalar. Cada modo aplica diferentes ecuaciones a sus valores de entrada.
Obtenga Resultados
Haga clic en Calcular. La pantalla de resultados muestra la respuesta con una barra de relación visual, un gráfico circular y un desglose de la solución paso a paso.
Problemas de Ejemplo y Soluciones Paso a Paso
Aquí hay 3 problemas de ejemplo con soluciones paso a paso usando esta Calculadora de Relación:
Entrada 1 Find scale factor: 5 cm model of a 10 m building
Entrada 2 Scale a 15 m room to 1:50 blueprint
Entrada 3 Find real distance from a map measurement of 8 cm at 1:25000
Preguntas Frecuentes
How do you find the scale factor between two objects? ▼
Divide any measurement of the scaled object by the corresponding measurement of the original. If the model is 4 cm and the real object is 8 m (800 cm), the scale factor is 4/800 = 1/200 or 1 : 200.
What does a scale factor of 2 mean? ▼
A scale factor of 2 means the new object is twice the size of the original. Every dimension is multiplied by 2 — a 5 cm line becomes 10 cm, a 3 cm width becomes 6 cm.
What is the difference between scale factor and ratio? ▼
A scale factor is a specific type of ratio that compares a scaled representation to the original. While all scale factors are ratios, not all ratios are scale factors — ratios can compare any two quantities.
How do architects use scale factors? ▼
Architects use scale factors like 1:100 or 1:50 to draw buildings at reduced sizes on paper. At 1:100, every 1 cm on the plan represents 100 cm (1 meter) in reality. This allows entire buildings to fit on standard drawing sheets.
Can scale factors be greater than 1? ▼
Yes. Scale factors greater than 1 represent enlargement. A microscope image at 400× has a scale factor of 400:1, meaning the image is 400 times larger than the actual specimen.