prime factor
(noun)
A factor of a given integer that is also a prime number.
Examples of prime factor in the following topics:
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Factors
- Such prime numbers are called prime factors.
- Therefore, 2 and 3 are prime factors of 6.
- However, 6 is not a prime factor.
- In this case, we must reduce 6 to its prime factors as well.
- We have now found factors for 12 that are all prime numbers.
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Rational Algebraic Expressions
- For each of the denominators, we find all the prime factors—i.e., the prime numbers that multiply to give that number.
- If you are not familiar with the concept of prime factors, it may take a few minutes to get used to. $2\cdot 2 \cdot 3$ is $12$ broken into its prime factors: that is, it is the list of prime numbers that when multiplied together yield 12.
- Similarly, the prime factors of 30 are 2, 3, and 5.
- Similarly, any number whose prime factors include a 2, a 3, and a 5 will be a multiple of 30.
- Finding the prime factors of the denominators of two fractions enables us to find a common denominator.
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Introduction to Factoring Polynomials
- Factoring by grouping divides the terms in a polynomial into groups, which can be factored using the greatest common factor.
- Factor out the greatest common factor, $4x(x+5) + 3y(x+5)$.
- The aim of factoring is to reduce objects to "basic building blocks", such as integers to prime numbers, or polynomials to irreducible polynomials.
- One way to factor polynomials is factoring by grouping.
- Both groups share the same factor $(x+5)$, so the polynomial is factored as:
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Inverse Compton Scattering
- Let's imagine that the electron is traveling along the $x$-axis with Lorentz factor $\gamma$.
- Furthermore, let's think about the lab frame (unprimed) and the electron's rest frame (primed).
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Entailment Discussion for 4th Grade Operations
- What exactly is a factor?
- What makes a number prime?
- Is one a prime number?
- How do factors and multiples help to show the inverse operational relationship between multiplication and division?
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[PF content: The Prime Minister]
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Factors External to the Firm
- The weighted average cost of capital is vulnerable to market risks, interest rate changes, inflation, economic factors, and tax rates.
- When organizations begin weighing the weighted average cost of capital (WACC) and determining overall capital structure, there are some factors that are within the control of the organization, and some external factors that are not.
- 2008 is a prime example of how market forces can drastically impact equity.
- Any external factors in the form of opportunity costs or unexpected risks can impact the overall cost of capital.
- Recognize the various external factors that may impact the weighted average cost of capital
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Analyzing Atonal Music
- Thus, it is helpful to eliminate register as a factor in order to find which motives, chords, and fragments belong in the same category.
- Pentatonic – The black key collection and all of its transpositions, prime form: (02479).
- X-cell – The chromatic tetrachord, or a four-pitch-class chromatic cluster, prime form: (0123).
- Y-cell – The whole-tone tetrachord, or a four-pitch-class whole-tone cluster, prime form: (0246).
- Whole-tone scale – A six-pitch-class scale made up of successive whole tones, prime form: (02468T).
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Unconscious Perception
- The perceptual learning of unconscious processing occurs through priming.
- This is one of the simplest examples of priming.
- One example of priming is in the childhood game Simon Says.
- Simon is able to trick the players because of priming.
- The participants who had been primed with rude words interrupted the investigator most often, and those primed with polite words did so the least often.
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West Nile Virus
- The main mode of WNV transmission is by mosquitoes , the prime vector.
- Birds, especially passerines, are the most commonly infected animal, and serve as the prime reservoir host.
- Many species - including humans - do not develop viral levels sufficient to transmit the disease to uninfected mosquitoes, and are thus not considered major factors in WNV transmission.