This article is about a paper size scale and magnification factors. The ISO 216 paper sizes have a few excellent characteristics when it meets expectations, increasing in size and lowering documents because they all have the same facet percentage if the A4 page size is increased to A3, the borders about the page forbiddance change specifically that the top and side borders are of considerably various capacities, and you don’t take the text missing situated above, bottom, or edges. 


The scale determinant for each decline or expansion is alike, so lowering from A3 -> A4 (71%) is the unchanging measuring as from A4 -> A5 and from A5 -> A6. The scale determinant for the decline is determined by separating the lengthier edge of the tinier breadth from the more long edge of the best size (or the smaller edge of the tinier proportion individually smaller edge of the best size).

See Also: Magnification Factors of Photocopying & Paper Scale

A Paper Size Scale & Magnification Factors

Here, we are providing two types of size selector boxes wherein a user can select a standard A series size according to his need. As soon as the size is one selects from the user end, the corresponding magnification factor appears simultaneously in the factor boxes provided by us. The representation of the magnification factor will be in terms of percentage and decimal.


When it comes to the enlargement and reduction of documents, then ISO 216 paper sizes show some very great properties. It is because they provide the same aspect ratio even if you enlarge an A4 page to A3 size. There is no loss of data as the margins around the page do not very much at the top and at the sides.

iso 216

See Also: Paper Stock Types

Magnification Scale Factors Background

If we apply our mathematical concepts, then the scaling factor between the A4 and the A3 sheet sizes is the square root of two. Also, you can express it in terms of percentage and if we consider the scaling factor, then it is square of root two, that is, 2. The square root of two (2) expressed as a part is a determining factor for measuring positions A4 and A3. The measuring factor ‘tween A4 and A2 is (√2)2 (namely 2), meant as a portion. The table beneath gives common formulae for conversions ‘tween various sizes of the unchanging order and conversions middle from two points order for A and B paper sizes.


A(n-1) -> A(n)√0.50.707171%
B(n) -> A(n)√(√0.5)0.840984%
A(n-1) -> B(n)√(√0.5)0.840984%
A(n) -> B(n)√(√2)1.1892119%
B(n) -> A(n-1)√(√2)1.1892119%
A(n) -> A(n-1)√21.4142141%

See Also: How to Change Paper Size in Word?

A Paper Size Magnification Scale Factors Table 

The table beneath gives Scale determinants for increasing in size or lowering documents betwixt all of the A order paper sizes articulated as percentages (as this is by what method they are most usually presented on photocopiers and in the print program). Select the row for the quantity you are altering from (blue) and the column for the proportion you adapt to in the table to capture modification components (red).

paper size


B Paper Sizes Magnification Scale Factors Table

The table beneath gives scale factors for broadening or diminishing archives between A paper sizes and B arrangement paper sizes communicated as rates (as this is the way they are most usually shown on scanners and in print programming). So, to get change factors from the table select the line for the size you are changing over from (blue) and the section for the size you are changing over to (red).



Magnification Scale Factors Table for B Paper Sizes to A Paper Sizes

The table gives scale factors for expanding or decreasing reports between B paper sizes. An arrangement paper sizes communicated as rates (as this is the manner by which they are most normally shown on scanners and in print programming). Therefore, to get change factors from the table select the line for the size you are changing over from (blue) and the section for the size you are changing over to (red).

B to A


See Also: Standard Newspaper Sizes – Broadsheet, Berliner, Tabloid, Compact


What is the scale factor of A4 paper?

In the case of an A4 page, height: breadth = 297:210. 297/210 = 1.414 (3 d.p.). The scale determinant is 1.414, and the percentage is 1.414: 1. If pupils check the length: breadth percentage for various page sizes. They will find that it debris the alike, however proportion.

What does Scale to paper size mean?

When we pick new paper content, either from Layout on the strip or by developing the paper size in Backstage View, a document certainly configures to that capacity.

What is the scale factor? Give an example.

A scale determinant is the percentage between the scale of a likely original object and a new object. That is its likeness but of a various breadth (more considerable or tinier). For example, if we have a four-sided figure of edges 2 cm and 4 cm, we can increase it by multiplying each side by a portion, mention 2.

What is a paper scale?

Paper scales are a classification of estimating scales that supply correct calculations of paper weight.

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