divisor

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除数是指除法运算中用来除以被除数的数,在数学中常用于整除和约数计算。

用法要点

句型搭配

常用于数学表达中,如“find the divisor of...”或“divide by a divisor”,表示寻找或使用除数进行计算。

• find the greatest common divisor
• divide 12 by the divisor 3
• check if 5 is a divisor of 20

介词用法

常与介词“of”连用,表示“...的除数”,如“divisor of 12”;在除法表达中,用“by”表示除以某个除数。

• divisor of a number
• divide by a divisor
• common divisor of two integers

语域说明

主要用于数学、计算和学术语境,日常对话中较少使用,但在教育或技术讨论中常见。

• mathematical divisor
• computational divisor
• divisor in algebra

基础例句

In math class, we learned how to find the divisor of a number.

在数学课上,我们学习了如何找到一个数的除数。

Can you tell me what the divisor is in this division problem?

你能告诉我这个除法问题中的除数是什么吗?

If the divisor is 4, then 12 divided by 4 equals 3.

如果除数是4,那么12除以4等于3。

高级例句

In number theory, the divisor function counts the sum of divisors of an integer.

在数论中,除数函数计算一个整数的除数之和。

The algorithm efficiently computes the greatest common divisor for large datasets.

该算法能高效计算大数据集的最大公约数。

Financial models often use divisors to adjust stock prices in index calculations.

金融模型在指数计算中常用除数来调整股票价格。

高频搭配

verb

find a divisorcalculate the divisordetermine the divisoruse as a divisorcheck the divisor

adjective

common divisorgreatest divisorproper divisorinteger divisorprime divisor

noun

number divisorfactor divisordivisor functiondivisor sumdivisor problem

preposition

divisor ofdivide by divisordivisor in divisiondivisor for calculation

phrase

greatest common divisor (GCD)least common divisordivisor of zerodivisor in arithmetic

常见错误

❌ 错误:The divisor is the number that is divided.
✓ 正确:The divisor is the number that divides another number.

错误:误以为除数是“被除”的数。正确:除数是用来“除”其他数的数。在除法中,除数执行除法操作,而不是被除。

❌ 错误:I need to find the divisor for 10 and 15.
✓ 正确:I need to find the common divisor for 10 and 15.

错误:直接说“divisor for”可能不明确。正确:应使用“common divisor”表示两个数的公约数,以避免歧义。

近义词辨析

factor

factor(因数)强调能整除一个数的整数,而divisor(除数)更泛指除法中的除数,包括非整数情况,但在整数语境中常互换使用。

In 12 ÷ 3 = 4, 3 is both a divisor and a factor of 12.

denominator

denominator(分母)特指分数中的除数,如a/b中的b,而divisor是更一般的数学术语,可用于各种除法运算。

In the fraction 3/4, 4 is the denominator, which acts as a divisor in the division 3 ÷ 4.