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mathematics

Part number

Part number is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Part number rather than just read about it. In short: A part number (often abbreviated PN, P/N, part no., or part #) is an identifier of a particular part design or material used in a particular industry. Its purpose is to simplify reference that item.

Part number — main illustration
Part number — illustration

Key takeaways

  • Part number belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Part number to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Part number from memory before moving on to harder problems.

Reference excerpt

A part number (often abbreviated PN, P/N, part no., or part #) is an identifier of a particular part design or material used in a particular industry. Its purpose is to simplify reference that item. A part number unambiguously identifies a part design within a single corporation, sometimes across several corporations. For example, when specifying a screw, it is easier to refer to "HSC0424PP" than saying "Hardware, screw, machine, 4-40, 3/4" long, pan head, Phillips". In this example, "HSC0424PP" is the part number. It may be prefixed in database fields as "PN HSC0424PP" or "P/N HSC0424PP". The "Part Number" term is often used loosely to refer to items or components (assemblies or parts), and is equivalent to "Item Number", and overlaps with other terms like SKU (Stock Keeping Unit).

The part design versus instantiations of it

As a part number is an identifier of a part design (independent of its instantiations), a serial number is a unique identifier of a particular instantiation of that part design. In other words, a part number identifies any particular (physical) part as being made to that one unique design; a serial number, when used, identifies a particular (physical) part (one physical instance), as differentiated from the next unit that was stamped, machined, or extruded right after it. This distinction is not always clear, as natural language blurs it by typically referring to both part designs, and particular instantiations of those designs, by the same word, "part(s)". Thus if you buy a muffler of P/N 12345 today, and another muffler of P/N 12345 next Tuesday, you have bought "two copies of the same part", or "two parts", depending on the sense implied.

User part numbers versus manufacturing part numbers (MPN) A business using a part will often use a different part number than the various manufacturers of that part do. This is especially common for catalog hardware, because the same or similar part design (say, a screw with a certain standard thread, of a certain length) might be made by many corporations (as opposed to unique part designs, made by only one or a few). For example, when referring to a "Hardware, screw, machine, 4-40, 3/4" long, Phillips":

Manufacturer A uses part number "4-40-3/4"-pan-phil", Manufacturer B uses part number "100-440-0.750-3434-A". Manufacturer C uses part number "TSR-1002". The business using such a screw may buy screws from any of those manufacturers, because each supplier manufactures the parts to the same specification. To identify such screws, the user doesn't want to use any of those manufacturer's part numbers, because

it would imply that one manufacturer is acceptable and the other ones aren't, and, it wishes to use a consistent format for the part numbers of all of the parts it uses. Therefore, the user devises its own part numbering system. In such a system, the user may use the part number "HSC0424PP" for that screw. There are also some national and industry-association initiatives which help producers and consumers codify the product based on a unified scheme to establish a common language between industrial and commercial sectors. For example:

The Iranian national classification and codification system known as Irancode is a 16 digit code to codify the products in a nationally unified manner. The U.S. government, and most especially its Department of Defense, has standardized various part numbering systems over the decades for it and its suppliers to use, such as the AN (Army-Navy) and MS (Military Standard) hardware classification and numbering systems. The Aerospace Industries Association maintains the NAS system (National Aerospace Standards), which is gradually replacing the AN and MS systems. The ASME provides a codification of fastener specifications in B18.24 Part Identifying Number (PIN) Code System Standard for B18 Fastener Products.

Significant versus non-significant part numbers In general, there are two types of part numbering systems: significant (a.k.a. "intelligent") and non-significant (a.k.a. "non-intelligent").

In a significant part numbering system, the part numbers are assigned intelligently, according to an encoding system, and thus they give an indication of salient characteristics of the component. For example, a screw may have the part number "HSC0424PP"; in this case, the letters indicate characteristics of the component: H = "Hardware" S = "Machine Screw" C0424 = "4-40, 3/4" long" PP = "Panhead Phillips" In a non-significant part numbering system, part numbers are assigned in some other fashion, such as sequentially or arbitrarily. For example, a screw may have the part number "1002", which may not tell the user anything about its thread size, shank length, or drive type. In a company, significant numbering systems help identify an item from its code rather than from a long description. However, variations can arise when codes are used by other companies, which may be your distributors, and can cause confusion. Non-significant part numbers are easier to assign and manage. They can still have some structure, such as a numeric category followed by a sequential number. Eg: 231-1002 (2=Hardware 3=Screw 1=Phillips, 1002 = sequential number). This enables more efficient data entry, using a keypad, which normally includes digits and dashes, and is operated one-handed, leaving the other hand free. Other benefits: people find numbers easier; in a warehouse, one can store products in numeric order (for example, in an aisle, numbers can increase from one end to the other).

… excerpt ends here. Continue reading the full article.

Illustrations

Part number: Example of a part number for a microcontroller
Example of a part number for a microcontroller
Part number: Parts marked with assigned part numbers
Parts marked with assigned part numbers

Worked examples

Example 1 — a first encounter with Part number

Start with the simplest possible case. Write down what Part number claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Part number before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Part number ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Part number

In research
Part number appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Part number in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Part number is common in secondary-school and first-year university syllabi. It links to neighbouring topics Encodings, Identifiers, Manufacturing, so understanding it makes those chapters shorter.
In everyday life
Look for Part number outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Part number in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Part number means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Part number out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Part number in simple terms?

A part number (often abbreviated PN, P/N, part no., or part #) is an identifier of a particular part design or material used in a particular industry. Its purpose is to simplify reference that item.

Why does Part number matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Part number?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Part number.

Tags

  • Encodings
  • Identifiers
  • Manufacturing
  • Numbers
  • Product classifications

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