因数 (yīn shù) — (mathematics) factor (an integer that divides another integer exactly)

Definition

noun
(mathematics) factor (an integer that divides another integer exactly)
Measure word · 个

Examples

  • 因数1、2、36。
    Zhè ge shù de yīn shù shì 1, 2, 3 hé 6.
    The factors of this number are 1, 2, 3, and 6.
  • 因数因数。
    Qiú liǎng gè shù de gōng yīn shù xū yào liè chū suǒ yǒu yīn shù.
    Finding the common factors of two numbers requires listing all factors.
  • 因数:1。
    Zhì shù zhǐ yǒu liǎng gè yīn shù: 1 hé tā běn shēn.
    A prime number has only two factors: 1 and itself.

Origin

Compound word
构词法gòucífǎ
偏正piānzhèngModifier + head

The first part narrows down the second: it says what kind of thing the head is.

因yīnfactor
数shùnumber

因数 is a 数 (number) that is an 因 (factor) in multiplication.

Characters in this word

Two or more meaningful parts placed together so that their meanings combine into a new one.

  • 囗囗wéisheet
  • 大大dàperson

Originally, 因 showed 大 (a person) on 囗 (a sheet or mattress).

Open 因 →

Most characters — around four in five — are built this way: one part hints at the meaning, the other at the pronunciation.

This origin belongs to the traditional form 數; 数 is its simplified writing.

Meaning part形符xíngfú
攴攴pū
Sound part声符shēngfú
婁
婁lóu數shù(r)
The sound has drifted apartThe sound part was a clue two thousand years ago — it often still helps, but not always.

The traditional form 數 pairs 攴, the meaning part, with 婁, the sound part; the simplified 数 is a shorthand.

Open 数 →

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