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.
使用される計算公式・方程式
この計算ツールは5つの主要な公式を使用しています：
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.
比率計算ツールの使い方
この比率計算ツールは、以下の3ステップで簡単にご利用いただけます：
数値を入力
入力欄に既知の比率の値を入力します。求めたい未知数の入力欄は空欄のままにしておきます。
モードを選択
比率モード（解く、簡素化、スケーリング）を選択します。各モードで異なる計算式が適用されます。
結果を確認
計算するボタンを押します。結果画面に答えと、視覚的な比率バー、円グラフ、詳細なステップバイステップの解決プロセスが表示されます。
実例問題と段階的な解説
本比率計算ツールを使って、以下の3つの例題をステップバイステップで解決するプロセスです：
入力 1 Find scale factor: 5 cm model of a 10 m building
入力 2 Scale a 15 m room to 1:50 blueprint
入力 3 Find real distance from a map measurement of 8 cm at 1:25000
よくある質問 (FAQ)
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.