factorable - Master This Word
Master this word with our 5-step learning method – Learn English in English
factorable Word Meanings
- able to be factored into simpler components
- can be expressed as a product of factors
- capable of being broken down mathematically
factorable Example Sentences
Example sentences are the start of understanding. Don't rush to memorize. First feel how the word works in a sentence.
factorable Phonetic & Pronunciation
UK
/ˈfæktərəbl/
US
/ˈfæktərəbəl/
factorable Word Etymology
The word 'factorable' comes from 'factor' (from Latin 'facere', meaning 'to do, make') + '-able', a suffix meaning 'capable of'. Imagine a giant puzzle where each piece (factor) can be put together to form a whole, showing how they break down into simpler units.
Note 1: These definitions and etymologies are not standard dictionary definitions, but extended explanations provided to help with memorization and understanding of the actual application of words. Through this background information, we strive to make words more vivid and easier to understand, and help you remember their meanings in real life.
Note 2: LexiTalk designs the learning flow around the linguistics principle of “Comprehensible Input.” When learners encounter material that is slightly above their level but still understandable from context, the brain naturally absorbs the language. That’s why we keep every word inside authentic contexts, using examples and associations to help you understand it and use it flexibly.
Read the FAQ explanation of Comprehensible InputReal Context
Factorable means something can be broken down into factors that multiply to give the original object. In numbers, a factorable number has nontrivial divisors, like 12 = 3 × 4. In algebra, a polynomial is factorable when it can be written as a product of lower‑degree polynomials, for example x^2 - 5x + 6 = (x - 2)(x - 3). This concept helps reveal structure and roots, and it contrasts with irreducible forms. When teaching, show simple factoring steps and discuss how factoring exposes hidden patterns that lead to solutions.
Usage Reminders
- Observe the noun/adjective form, spot -able endings, practice with simple numbers and polynomials, compare factorable with irreducible, distinguish factoring vs distributing, and check by multiplying factors.
Common Misconceptions
- Factorable always means easy to factor, not just possible
- Numbers only; polynomials cannot be factorable
- If a product exists, the object is factorable
- Factoring changes the original value
- Irreducible equals not factorable in any sense
Thinking Differences
In English, learners often focus on the word as a property of an object; they may misread factorable as implying ease or inevitability, and forget that the key idea is existence of a factorization, not necessarily a quick one.
Learning Tips
- memorise -able suffix
- practice with numbers and polynomials
- compare factorable vs prime/irreducible
- practice factoring with common quadratics
- check by multiplying factors
- use root finding as a follow-up
5-Step Learning Method - Learn English in English
Step 1: Meaning
What does the word 'factorable' mean?
A.Indicating a flat surface
B.Able to be broken down into factors
C.Describing a rare event
D.Related to human emotions
Step 2: Usage
Which sentence uses 'factorable' correctly?
A.The beautiful sunset was factorable into various colors.
B.She was factorable to her friends and family.
C.The math problem was factorable, making it easier to solve.
D.He factorable enjoyed his vacation.
Step 3: Similar Words
Which word is most similar to 'factorable'?
A.Expensive
B.Divisible
C.Incomprehensible
D.Irrelevant
Step 4: Opposite Words
What is the opposite of 'factorable'?
A.Indivisible
B.Complex
C.Multifaceted
D.Understandable
Step 5: Mastery
Can you think of a real-life context where something is factorable?
A.A team project that everyone worked on together.
B.A discussion about the weather this week.
C.Solving a quadratic equation where the numbers can be factored.
D.Choosing a movie to watch with friends.
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