Pixels to Inches Converter: Formula, Tables, and DPI Guide
A pixel has no fixed physical size. A 1920-pixel-wide image could print at 6.4 inches (300 DPI) or 26.7 inches (72 DPI). The connection between pixels and inches is DPI — dots per inch — and the conversion formula works in both directions. This page gives you the formula, ready-to-use lookup tables, and the context to pick the right DPI for your project.
The Conversion Formula
Two formulas, one relationship:
Pixels to inches:
inches = pixels ÷ DPI
Inches to pixels:
pixels = inches × DPI
DPI (dots per inch) is the bridge between the digital world (pixels) and the physical world (inches). It defines how many pixels fit into one linear inch of printed or displayed output.
A 3000-pixel-wide image at 300 DPI prints at 10 inches wide (3000 ÷ 300 = 10). That same image at 72 DPI prints at 41.67 inches (3000 ÷ 72 = 41.67). The pixel count did not change — DPI determines how tightly those pixels pack together on paper or screen.
For a deeper explanation of DPI and its relationship to PPI, see DPI vs PPI: What's the Difference?.
What DPI Means Here
Strictly speaking, DPI describes printer ink dots, and PPI (pixels per inch) describes digital image resolution. Most software, print shops, and online forms use "DPI" to mean both. This guide follows that convention — when we say "300 DPI," we mean 300 pixels per inch in the image file. For the technical distinction, the full DPI vs PPI breakdown has you covered.
Pixels to Inches: Quick Reference Table
Look up your pixel dimension and read across to find the size in inches at three common DPI values.
| Pixels | At 72 DPI (inches) | At 150 DPI (inches) | At 300 DPI (inches) |
|---|---|---|---|
| 72 | 1.00 | 0.48 | 0.24 |
| 150 | 2.08 | 1.00 | 0.50 |
| 300 | 4.17 | 2.00 | 1.00 |
| 480 | 6.67 | 3.20 | 1.60 |
| 600 | 8.33 | 4.00 | 2.00 |
| 720 | 10.00 | 4.80 | 2.40 |
| 900 | 12.50 | 6.00 | 3.00 |
| 1024 | 14.22 | 6.83 | 3.41 |
| 1080 | 15.00 | 7.20 | 3.60 |
| 1200 | 16.67 | 8.00 | 4.00 |
| 1500 | 20.83 | 10.00 | 5.00 |
| 1800 | 25.00 | 12.00 | 6.00 |
| 1920 | 26.67 | 12.80 | 6.40 |
| 2400 | 33.33 | 16.00 | 8.00 |
| 3000 | 41.67 | 20.00 | 10.00 |
| 3600 | 50.00 | 24.00 | 12.00 |
| 4000 | 55.56 | 26.67 | 13.33 |
| 4500 | 62.50 | 30.00 | 15.00 |
Every value follows the formula: pixels ÷ DPI = inches, rounded to two decimal places.
Inches to Pixels: Reverse Conversion Table
Starting from a target physical size? Find the pixel dimensions you need.
| Inches | At 72 DPI (pixels) | At 150 DPI (pixels) | At 300 DPI (pixels) |
|---|---|---|---|
| 1 | 72 | 150 | 300 |
| 2 | 144 | 300 | 600 |
| 3 | 216 | 450 | 900 |
| 4 | 288 | 600 | 1200 |
| 5 | 360 | 750 | 1500 |
| 6 | 432 | 900 | 1800 |
| 7 | 504 | 1050 | 2100 |
| 8 | 576 | 1200 | 2400 |
| 10 | 720 | 1500 | 3000 |
| 11 | 792 | 1650 | 3300 |
| 12 | 864 | 1800 | 3600 |
| 14 | 1008 | 2100 | 4200 |
| 16 | 1152 | 2400 | 4800 |
| 18 | 1296 | 2700 | 5400 |
| 20 | 1440 | 3000 | 6000 |
| 24 | 1728 | 3600 | 7200 |
| 36 | 2592 | 5400 | 10800 |
Every value follows the formula: inches × DPI = pixels. No rounding needed — the result is always a whole number when both inputs are whole numbers.
Common Use Cases by DPI
DPI is not one-size-fits-all. The right value depends on the output medium and viewing distance.
72-96 DPI — Web and Screen
Web browsers render images at the screen's native resolution, so the DPI metadata in your file has no effect on how images display online. A 1200×800 image appears at 1200×800 pixels regardless of whether the file says 72 DPI or 300 DPI.
Why does 72 DPI keep coming up? It is a legacy value from early Macintosh displays that mapped 1 pixel to 1 point (1/72 inch). Modern screens range from 96 PPI (standard desktop) to 326 PPI (iPhone Retina), but image editing software still defaults to 72 or 96 DPI for "web" exports.
When to use 72-96 DPI: Web images, social media uploads, email attachments, digital presentations. The DPI value itself does not matter for these — pixel dimensions are what count. Learn more in What Is Image Resolution?.
150 DPI — Presentations and Casual Print
150 DPI produces acceptable quality for items viewed at arm's length or farther: classroom posters, internal documents, draft proofs, and presentation slides printed as handouts.
When to use 150 DPI: Draft prints, posters viewed from 3+ feet away, newspaper ads, low-priority internal documents.
300 DPI — Professional Print
300 DPI is the standard for professional printing. Photo labs, commercial printers, magazines, brochures, business cards, and any printed piece viewed at normal reading distance require 300 DPI for sharp results.
Below 300 DPI, detail softens. At 200 DPI, casual observers might not notice. At 150 DPI, softness becomes visible in fine detail. At 72 DPI, the output looks pixelated. For a step-by-step guide to hitting 300 DPI, see How to Make an Image 300 DPI.
When to use 300 DPI: Photo prints, business cards, brochures, product packaging, magazine ads, any print viewed within arm's length.
Standard Print Sizes in Pixels at 300 DPI
These are the pixel dimensions you need for sharp prints at standard photo and paper sizes. All values are calculated at 300 DPI, the professional printing standard.
| Print Size (inches) | Pixels (W × H) | Common Use |
|---|---|---|
| 2 × 2 | 600 × 600 | Passport photos (US) |
| 2.5 × 3.5 | 750 × 1050 | Wallet prints |
| 3.5 × 5 | 1050 × 1500 | Small prints |
| 4 × 6 | 1200 × 1800 | Standard photo print |
| 5 × 7 | 1500 × 2100 | Greeting cards, small frames |
| 8 × 10 | 2400 × 3000 | Portrait prints, frames |
| 8.5 × 11 | 2550 × 3300 | US Letter paper |
| 11 × 14 | 3300 × 4200 | Large portrait, small poster |
| 11 × 17 | 3300 × 5100 | Tabloid / Ledger |
| 12 × 18 | 3600 × 5400 | Large photo prints |
| 16 × 20 | 4800 × 6000 | Gallery prints |
| 18 × 24 | 5400 × 7200 | Poster prints |
| 20 × 30 | 6000 × 9000 | Large posters |
| 24 × 36 | 7200 × 10800 | Extra-large posters |
| 30 × 40 | 9000 × 12000 | Exhibition prints |
If your image has fewer pixels than required, you have two options: print at a smaller size where the pixels are sufficient, or resample the image to add pixels (with some quality trade-off). For guidance on choosing the right approach, see Resize Image for Printing and Standard Photo Dimensions.
How to Convert Pixels to Inches with Pixotter
Pixotter's resize tool and DPI changer handle the math for you.
Change DPI Without Resizing
If your image has enough pixels but the DPI metadata is wrong (a common issue with phone photos tagged at 72 DPI), use the DPI changer:
- Drop your image onto Pixotter.
- Open the DPI changer tool.
- Set the target DPI (e.g., 300).
- Download the result.
The pixel count stays the same. Only the metadata changes, which tells the printer how many pixels to pack per inch. A 3000×2400 image relabeled from 72 DPI to 300 DPI now prints at 10×8 inches instead of 41.7×33.3 inches. Same pixels, different physical output.
For a detailed walkthrough, see How to Change Image DPI.
Resize to Hit a Target Print Size
If your image does not have enough pixels for the print size and DPI you need, use the resize tool:
- Calculate the target pixels: multiply your desired inches by your target DPI. For an 8×10 print at 300 DPI, you need 2400×3000 pixels.
- Drop your image onto Pixotter.
- Set the dimensions to 2400×3000 (or your calculated values).
- Download the resized image.
Pixotter processes everything in your browser — your images never leave your device. The resize uses high-quality Lanczos resampling for the best possible upscaling result.
To understand how resizing and DPI interact, How to Check Image DPI explains how to verify your settings before sending files to the printer.
Frequently Asked Questions
How many pixels is 1 inch?
It depends on the DPI. At 72 DPI, 1 inch = 72 pixels. At 150 DPI, 1 inch = 150 pixels. At 300 DPI, 1 inch = 300 pixels. The formula is: pixels = inches × DPI.
How do I convert 1920×1080 pixels to inches?
Divide each dimension by the DPI. At 72 DPI: 1920 ÷ 72 = 26.67 inches wide, 1080 ÷ 72 = 15 inches tall. At 300 DPI: 1920 ÷ 300 = 6.4 inches wide, 1080 ÷ 300 = 3.6 inches tall.
What DPI should I use for printing?
300 DPI for anything viewed at arm's length — photo prints, brochures, business cards, magazines. 150 DPI is acceptable for posters and banners viewed from several feet away. See Make Image 300 DPI for instructions.
Does changing DPI change image quality?
Not by itself. Changing DPI metadata (without resampling) does not add or remove pixels — it only tells the printer how to map existing pixels to inches. Resampling to add pixels can introduce softness since the new pixels are interpolated from existing ones.
What is the difference between DPI and PPI?
DPI (dots per inch) measures printer ink dots. PPI (pixels per inch) measures digital image pixels. In practice, most people and software use "DPI" for both. The full explanation is in DPI vs PPI: What's the Difference?.
How many pixels do I need for a 4×6 print?
At 300 DPI: 1200×1800 pixels. At 150 DPI: 600×900 pixels. Multiply each inch dimension by the DPI to get the pixel count. For a complete list of sizes, see the standard print sizes table above.
Why does my 300 DPI image look the same as 72 DPI on screen?
Screens ignore the DPI metadata in your image file. A monitor displays pixels at its native resolution — a 3000×2000 image takes up the same screen space regardless of whether the file says 72 or 300 DPI. The DPI value only matters when the image is printed or when software needs to calculate a physical size.
Can I make a low-resolution image high DPI?
You can change the DPI tag, but that just makes the image print smaller (more pixels packed per inch = smaller output). To print a low-resolution image at a large size with 300 DPI, you would need to resize the image to add pixels — which produces a softer result than starting with a high-resolution original.
