Factors of production
Historical schools and factors: In the interpretation of the currently dominant view and of a of classical economic theory developed by neoclassical economists, the term "factors" did not exist until after the classical period and is not to be found in any of the literature of that time.
Differences are most stark when it comes to deciding which factor is the most important.

Physiocracy: Physiocracy (from the Greek for "government of nature") is an economic theory developed by a group of 18th century Enlightenment French economists who believed that the wealth of nations was derived solely from the value of "land agriculture" or "land development" and that agricultural products should be highly priced.

Classical: The classical economics of Adam Smith, David Ricardo, and their followers focus on physical resources in defining its factors of production and discuss the distribution of cost and value among these factors. Adam Smith and David Ricardo referred to the "component parts of price" as the costs of using:

Land or natural resource — naturally occurring goods like water, air, soil, minerals, flora, fauna and climate that are used in the creation of products. The payment given to a landowner is rent, loyalties, commission and goodwill.
Labor — human effort used in production which also includes technical and marketing expertise. The payment for someone else's labor and all income received from one's own labor is wages. Labor can also be classified as the physical and mental contribution of an employee to the production of the good(s).
Capital stock — human-made goods which are used in the production of other goods. These include machinery, tools, and buildings. They are of two types, fixed and working. Fixed are one time investments like machines, tools and working consists of liquid cash or money in hand and raw material.
The classical economists also employed the word "capital" in reference to money. Money, however, was not considered to be a factor of production in the sense of capital stock since it is not used to directly produce any good. The return to loaned money or to loaned stock was styled as interest while the return to the actual proprietor of capital stock (tools, etc.) was styled as profit. See also returns.

Marxism: Marx considered the "elementary factors of the labor-process" or "productive forces" to be:

Labor
Subject of labor (objects transformed by labor)
Instruments of labor (or means of labor).
The "subject of labor" refers to natural resources and raw materials, including land. The "instruments of labor" are tools, in the broadest sense. They include factory buildings, infrastructure, and other human-made objects that facilitate labor's production of goods and services.
This view seems similar to the classical perspective described above. But unlike the classical school and many economists today, Marx made a clear distinction between labor actually done and an individual's "labor power" or ability to work. Labor done is often referred to nowadays as "effort" or "labor services". Labor-power might be seen as a stock which can produce a flow of labor.
Labor, not labor power, is the key factor of production for Marx and the basis for earlier economists' labor theory of value. The hiring of labor power only results in the production of goods or services ("use-values") when organized and regulated (often by the "management"). How much labor is actually done depends on the importance of conflict or tensions within the labor process.

Neoclassical economics: Neoclassical economics, one of the branches of mainstream economics, started with the classical factors of production of land, labor, and capital. However, it developed an alternative theory of value and distribution. Many of its practitioners have added various further factors of production (see below).
Further distinctions from classical and neoclassical microeconomics include the following:

Capital — this has many meanings, including the financial capital raised to operate and expand a business. In much of economics, however, "capital" (without any qualification) means goods that can help produce other goods in the future, the result of investment. It refers to machines, roads, factories, schools, infrastructure, and office buildings which humans have produced to create goods and services.
Fixed capital — this includes machinery, factories, equipment, new technology, buildings, computers, and other goods that are designed to increase the productive potential of the economy for future years. Nowadays, many consider computer software to be a form of fixed capital and it is counted as such in the National Income and Product Accounts of the United States and other countries. This type of capital does not change due to the production of the good.
Working capital — this includes the stocks of finished and semi-finished goods that will be economically consumed in the near future or will be made into a finished consumer good in the near future. These are often called inventory. The phrase "working capital" has also been used to refer to liquid assets (money) needed for immediate expenses linked to the production process (to pay salaries, invoices, taxes, interests...) Either way, the amount or nature of this type of capital usually changes during the production process.
Financial capital — this is simply the amount of money the initiator of the business has invested in it. "Financial capital" often refers to his or her net worth tied up in the business (assets minus liabilities) but the phrase often includes money borrowed from others.
Technological progress — For over a century, economists have known that capital and labor do not account for all economic growth. To include the technological progress into the theory, it was proposed to introduce capital service and labour service as production factors in line with capital and labour. This is reflected in total factor productivity and the Solow residual used in economic models called production functions that account for the contributions of capital and labor, yet have some unexplained contributor which is commonly called technological progress. Russian economist Vladimir Pokrovskii proposed to consider capital service as one of independent production factors in line with labour and capital. Capital service as production factor was interpreted by Ayres and Warr  as useful work of production equipment, which makes it possible to reproduce historical rates of economic growth with considerable precision  and without recourse to exogenous and unexplained technological progress, thereby overcoming the major flaw of the Solow Theory of economic growth.

Ecological economics: Ecological economics is an alternative to neoclassical economics. It integrates, among other things, the first and second laws of thermodynamics (see: Laws of thermodynamics) to formulate more realistic economic systems that adhere to fundamental physical limitations. In addition to the neoclassical focus on efficient allocation, ecological economics emphasizes sustainability of scale and just distribution. Ecological economics also differ from neoclassical theories in its definitions of factors of production, replacing them with the following:

Matter — the material from which products are produced. Matter can be recycled or reused through refining or reforming, but it cannot be created or destroyed, placing an upper limit on the amount of material that can be withdrawn and used. Consequently, the total amount of available matter is fixed, and once all the available matter is used, nothing more can be produced without recycling or reusing matter from prior products.
Energy — the physical but non-material inputs of production. We can place different forms of energy on a scale of utility depending on how useful it is for creating a product. Due to the law of entropy, energy tends to decrease in utility over time. (e.g. electricity, a very useful form of energy, is used to run a machine that builds a stuffed bear. In the process, however, electricity is converted to heat, a less useful form of energy). Like matter, energy can neither be created nor destroyed and thus there is also an upper limit to the total amount usable energy.
Design intelligence — a factor that incorporates the knowledge, creativity, and efficiency of how goods are created - the better the design, the more efficient and beneficial the creation is. Designs are usually improvements on their predecessors since our store of accumulated knowledge grows with time. One possible neoclassical analogue of design intelligence is technological progress.
Integral to ecological economics is the following notion: at the maximum rates of sustainable matter and energy uptake, the only way to increase productivity would be through an increase in design intelligence. This provides the basis for a core tenet of ecological economics, namely that infinite growth is impossible.

The fourth factor: In the first half of the 20th century, some authors added the work of organization or entrepreneurship as a fourth factor of production. This became standard in the post-war Neoclassical synthesis. For example, J. B. Clark saw the co-ordinating function in production and distribution as being served by entrepreneurs; Frank Knight introduced managers who co-ordinate using their own money (financial capital) and the financial capital of others. In contrast, many economists today consider "human capital" (skills and education) as the fourth factor of production, with entrepreneurship as a form of human capital. Yet others refer to intellectual capital. More recently, many have begun to see "social capital" as a factor, as contributing to production of goods and services.

Entrepreneurship: In markets, entrepreneurs combine the other factors of production, land, labor, and capital, to make a profit. Often these entrepreneurs are seen as innovators, developing new ways to produce new products. In a planned economy, central planners decide how land, labor, and capital should be used to provide for maximum benefit for all citizens. Just as with market entrepreneurs, the benefits may mostly accrue to the entrepreneurs themselves.
The sociologist C. Wright Mills refers to "new entrepreneurs" who work within and between corporate and government bureaucracies in new and different ways.