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How-to guide

How to Calculate Telescope Magnification: Formula, Steps & Examples

Learn how to calculate Telescope Magnification — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 2 min read

Calculating your magnification is straightforward once you know the Telescope Magnification formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Telescope Magnification Calculator.

What is Telescope Magnification?

The Telescope Magnification calculation tells you your magnification from a few simple inputs. The figure you are solving for here is the magnification.

The Telescope Magnification formula

The core formula is:

Magnification = Telescope focal length ÷ Eyepiece focal length

Here is what each input means:

  • Telescope focal length — a value measured in mm. Example: 1,200 mm.
  • Eyepiece focal length — a value measured in mm. Example: 25 mm.

How to calculate it step by step

  • Write down the telescope focal length (for example, 1,200 mm).
  • Write down the eyepiece focal length (for example, 25 mm).
  • Apply the formula above to get your magnification.
  • Double-check the result with the Telescope Magnification Calculator.

Worked examples

Example 1

Input / OutputValue
Telescope focal length1,200 mm
Eyepiece focal length25 mm
Magnification48.0

With telescope focal length of 1,200 mm and eyepiece focal length of 25 mm, the magnification works out to 48.0.

Example 2

With telescope focal length of 2,400 mm and eyepiece focal length of 25 mm, the magnification works out to 96.0.

ResultValue
Magnification96.0

Example 3

With telescope focal length of 600 mm and eyepiece focal length of 25 mm, the magnification works out to 24.0.

ResultValue
Magnification24.0

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Telescope Magnification Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring astronomy calculators with these tools: Weight on Other Planets Calculator, Escape Velocity Calculator, Surface Gravity Calculator, Light Travel Time Calculator, Orbital Velocity Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Magnification = Telescope focal length ÷ Eyepiece focal length. With telescope focal length of 1,200 mm and eyepiece focal length of 25 mm, the magnification works out to 48.0.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Telescope Magnification Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.