# Calculate Maximum Image Size Dimensions and print sizefrom camera Megapixels and Aspect Ratio

What are the maximum image dimensions that can fit in X megapixels? How big can we print it?

What image size do we get if we buy a 50 megapixel camera? Or with any 50 megapixel image?

The dimensions of its shape depend on the Aspect Ratio.

The calculator below shows your request and also automatically adds results for a few standard aspect ratios (1:1, 4:3, 3:2, 16:9). These rounded nominal values may not precisely match your sensor dimensions, but your first request can use an Aspect Ratio more precise than the nominal 3:2 or 4:3.

These common Aspect Ratios can be entered in standard nominal format:
1:1 = a square image (image width same as height)
4:3 = 1.333:1 - Typical of compact camera and cell phone images
3:2 = 1.5:1 - Typical of DSLR camera images, and 35 mm film
16:9 = 1.778:1 - HDTV and camera video, typically 1920x1080 or 1280x720 pixels

but which are just rounded approximate nominal values. Or preferably more precise, it can be the exact corresponding divided number (image width/height, dimensioned as pixels or mm or inches) like the 1.5 or 1.3333 or 1.7778 ratio. Example: for 4:3 aspect, 4/3 = 1.3333. But it can be the more exact number, like maybe 1.327:1. It is Not necessary to enter the :1 here (:1 is assumed if not), but you can enter it or not, or you can enter the format like 4:3. For an actual real sensor, the actual precise value (like 1.327 or 1.503) may compute more precisely. More about aspect ratios.

Aspect Ratio Format — Example:

Aspect ratio 4:3 is 4/3 = 1.333, which can be entered here as:

4:3 or 1.333:1 or 1.333, or as 1.338 if and when more precise.

Or 4288×2848 pixels is 4288/2848 = 1.5056:1 (images).
Or 17.3x13 mm is 17.3/13 = 1.331:1 (sensors or film).
Or 4x5 inches is 5/4 = 1.25:1 (prints).

The calculator will show the precise format, as like 1.3315:1 format.

Megapixels are exactly computed by image dimensions in pixels, megapixels = Width × Height. 6000×4000 = 24,000,000 pixels, = 24 megapixels. Megapixels use the conventional 1K = 1000, and NOT the 1K = 1024 used by memory chips.
Aspect Ratio is exactly computed by image dimensions in pixels, Aspect Ratio = Width / Height. 6048 / 4024 is 1.503 : 1.
Your results will come out closer if entering your actual real numbers instead of the rounded camera specifications.

But there are ifs and buts about everything, so this is trying to explain why the result megapixels may not exactly match your camera's specified megapixels. Three values of pixel dimensions may be shown, in the order of:

1. Exact computed dimensions (matches specified megapixels exactly, even if pixels cannot be fractional).

2. Dimensions rounded to whole pixels, necessary for real pixels, but which changes megapixels a little. One pixel difference of width might affect a few thousand rows of height.

3. Cameras create pixel dimensions evenly divisible by 8 (I will call it Div8, and is only size shown if already Div8 is specified). But resampled or cropped images might have any dimensions, likely Not divisible by 8.

## Maximum Image Dimensionsand Print Size from Megapixels

Megapixels    Aspect Ratio

Image Size x pixels (reverse direction)

If printed at dpi (Optional)

Div8 -  Images resized in photo editors can be any dimensions, but camera sensors actually use pixel dimensions which are evenly divisible by 8, no doubt to match the JPG 8x8 compression blocks (I'll call that value Div8 here). Image pixel dimensions of the actual camera images should be Div8, however specifications for megapixels or aspect ratio are rounded. But pixel dimensions of images cropped or resampled in your editor have low odds to be evenly divisible by 8.

There are two calculator options, and the results for each case are:

• The first option (Megapixels) calculation is the regular option. Calculated pixel dimensions (in gray text) are excessively shown out to a few decimal places (even if pixels cannot have fractions), to show that the megapixels come out exact, matching the same as entered.

Since images cannot be dimensioned in fractions of pixels, the result rounded to whole numbers is then shown (in green). Adding or Subtracting one pixel to width or height can be thousands of pixels in the other dimension, so the rounded result necessarily can affect the megapixel total somewhat. And then actual camera sensors typically round to multiples of 8 pixels (evenly divisible by 8). The camera specifications round off megapixels, but the precise value is image width × height in pixels. Likewise, Aspect ratio is rounded to a nominal value too, but the precise actual value is image width / height, in pixels.

• The second option (Image Size) is provided when pixel dimensions are already known, and might be all you know with any precision. It computes actual megapixels and Aspect Ratio with greater precision. Pixel dimensions are exactly known and are typically 4 significant digits. Whereas megapixels and aspect ratio are rounded specifications, only two or sometimes maybe three significant digits (not totally precise). To recompute those four exact digits of pixel dimensions likely requires Megapixels and Aspect Ratio to also be four significant digits because in math, the final answer can only contain as many accurate significant digits as the least precise value computing it. So the computed pixel dimensions could be just a few pixels off, but a few tenths of a percent will certainly be close enough for practical purposes. The calculator is written for megapixels (first option), but to aid seeing at least four accurate significant digits, the Image Size option was added to determine actual precise values of megapixels and aspect ratio for your camera. It will show at least four significant digits, if applicable (fractional trailing zeros are not shown or needed).

If checking that the calculator matches your cameras Div8 dimensions, the specifications for megapixels and aspect ratio are rounded nominal numerals which will be close, but might not compute the exact precise image size in pixels (due to rounding - camera specifications are rounded values.) If not exact, the best try the significant digits is to first enter the second option of actual sensor dimensions in pixels instead of Megapixels to compute the actual precise megapixels and aspect ratio values for your camera.

Otherwise, Megapixels will work fine, and even better if you enter accurate higher precision for the actual megapixels and aspect ratio. Since pixel dimensions are typically four significant digits, then to reach that same four-digit precision again, enter all values to at least four significant digits, if applicable. Four digits total are usually enough, but sometimes five digits can be better on Aspect Ratio. The Image Size option does compute sufficient precision from your dimensions. You can see in the initial default example, that 1.503 computes better than the nominal 1.5 below it (unless 1.5 happens to be the actual precise value). This blue image shows the aspect concept visually. 4:3 is taller, but 3:2 is wider. The sensors all try to fit their diagonal to the lens diameter. However, the 16:9 video mode frames in photo cameras are normally necessarily contained within the dimensions of the existing 4:3 or 3:2 photo sensors. Then 16:9 cannot be the full diagonal (that video width cannot be wider than the sensor width). But their size is likely even a little smaller to optimize the subsampling, because 16:9 HD movies are typically output as 1280x720 or 1920x1080 pixels, which is 0.92 or 2.07 megapixels. Since specifics are not known here, 16:9 is computed on this page as a camcorder, independent of any still frame size. See More about maximum video frame sizes relative to still pictures.

Again, camera megapixels and aspect ratio are said as nominal rounded values. But these two values are just a multiplication and a division of the pixel dimensions, and as explanation of the precision offered, the second Image Size option was added to show those actual more precise computed values. They also show the difference from the nearest standard nominal aspect ratio (if in range). The few tenths of a percent of difference is not a big deal in practice. See the Aspect Ratio page.

The goal is to compute maximum dimensions of a specific aspect ratio that matches the specified megapixels. Megapixels is sensor Area (in units of pixels). Pixels are the only units used. The calculator computes the Width x Height image pixel dimensions of various aspect ratios that match the megapixels that you specify.

The terms kilobytes and megabytes and gigabytes were corrupted to mean multiples of 1024 bytes, necessarily used for memory chip sizes (including memory cards, USB flash drives and SSD, which are all memory chips), but sadly, 1024 is also commonly used for file sizes, which is unnecessary and counter-productive. The standard SI term mega means millions, defined as multiples of 1000. So mega in megapixels still correctly means 1000s, same way as humans count things. Same also for manufacturer's hard disk specifications in gigabytes (1000s), except our computer operating systems still sadly refer to size of hard drives and files as multiples of 1024. But megapixels is correctly units of 1000. No 1024 complications.

Math is precise, but Real World is sometimes less so: If checking the calculator against your camera, realize that cameras round their specifications, which affects precise calculations. For example, a Nikon D800 camera specifies 36.3 megapixels and we assume a DSLR nominal 3:2 aspect ratio. That computes 7376 x 4920 image size. Close, but its actual is 7360x4912 pixels which computes 36.152 megapixels and 1.498 aspect ratio, which does then compute the correct image size. If you enter the actual correct numbers, the calculator should show the exact dimensions.