divisor - Master This Word
Master this word with our 5-step learning method – Learn English in English
divisor Word Meanings
- a number that divides another without leaving a remainder
- a factor of a given number
- in mathematics, a divisor can also refer to the part of a fraction that is below the line
divisor Example Sentences
Example sentences are the start of understanding. Don't rush to memorize. First feel how the word works in a sentence.
divisor Phonetic & Pronunciation
UK
/dɪˈvaɪ.zə/
US
/dɪˈvaɪ.zɚ/
divisor Word Etymology
Root decomposition: 'divis-' (to divide) + '-or' (agent noun). Historical origin: Latin 'divisor' → Old French → English. Memory image: Picture a pie being cut into equal slices; each slice represents a divisor sharing the pie evenly.
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
Divisor is the term for a number that divides another without leaving a remainder. In basic arithmetic, divisors help you see how a number can be broken into equal parts, such as finding all divisors of twelve or identifying prime divisors of a larger number. Divisors come in pairs: if a divides b, then b also has a divisor equal to b divided by a. In fractions, some explanations treat the bottom part as a divisor, while others call it the denominator; still others distinguish divisor from factor. Understanding divisors supports finding greatest common factors, simplifying fractions, and spotting regular patterns in algebra and number theory.
Usage Reminders
- - A divisor is a number that divides another exactly with no remainder.
- - Divisors of a number come in pairs, like 3 and 4 for 12.
- - A divisor is not the same as a factor in every context; use factors when discussing multiplication.
- - In fractions, some sources call the bottom number the divisor, while the standard term is denominator.
- - When you simplify a fraction, you use divisors to find common factors.
Common Misconceptions
- Confusing divisor with dividend.
- Thinking every divisor is a prime number.
- Mistaking divisor for the denominator in fractions.
- Believing 1 is the only divisor of any number.
- Assuming divisors only apply to integers.
Thinking Differences
Divisor is taught via intuition about how numbers divide into equal parts; learners often confuse it with denominator or with the concept of a multiplier. Keep in mind divisors are about division, not multiplication, and primes as a special kind of divisor matter for factorization.
Learning Tips
- List divisors for a few numbers and check your answers with a factor tree.
- Differentiate divisor, factor, and denominator using clear definitions.
- Practice prime factorization to see how divisors are built from primes.
- Use real-world examples (splitting items, sharing equally) to remember the idea.
- Quiz yourself: which numbers are divisors of 60? which are not?
- Review edge cases: 1 and the number itself are divisors.
5-Step Learning Method - Learn English in English
Step 1: Meaning
What is the definition of 'divisor'?
A.A synonym for friend
B.A type of geographical location
C.A number that divides another number exactly
D.A type of fabric
Step 2: Usage
Choose the correct usage of 'divisor' in a sentence.
A.When you divide 10 by 5, 5 is the divisor.
B.The divisor of a two-story building is being constructed.
C.Her new dress is a divisor of blue fabric.
D.He is a great divisor in my life.
Step 3: Similar Words
Which of the following words is most similar to 'divisor'?
A.Divider
B.Factor
C.Aggregator
D.Multiplier
Step 4: Opposite Words
What is the opposite of 'divisor'?
A.Addend
B.Numerator
C.Surplus
D.Factorial
Step 5: Mastery
Can you think of a real-life context where a divisor is relevant?
A.When you calculate how many items fit into a box.
B.In a recipe, measuring ingredients perfectly is crucial.
C.The total amount was divided evenly among participants.
D.Balancing a budget requires understanding income and expenditure.
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