可除性的意思、翻譯和例句

是什麼意思

「可除性」是數學術語，指的是一個數是否能被另一個數整除而不會產生餘數。這個概念通常用於整數之間的關係，例如，如果整數 a 能被整數 b 整除，則稱 a 具有可除性，並且可以表示為 a = b × k，其中 k 是整數。可除性在數論中非常重要，因為它涉及到質數、因數、倍數等概念。

依照不同程度的英文解釋

  1. Whether one number can be divided by another without leftovers.
  2. When one number fits into another perfectly.
  3. A property of numbers where one can be divided by another evenly.
  4. The ability of one number to be divided by another with no remainder.
  5. A characteristic of integers that determines if they can be divided evenly.
  6. The mathematical condition under which one integer can be divided by another without yielding a fractional result.
  7. A property that describes the relationship between two integers regarding divisibility.
  8. A fundamental concept in number theory that indicates whether one integer is a multiple of another.
  9. A critical aspect of divisibility in mathematics, indicating the relationship between divisors and dividends.
  10. A concept that defines whether a number can be evenly divided by another number.

相關英文單字或片語的差別與用法

1：Divisibility

用法：

在數學中，這個詞通常用來描述一個整數是否可以被另一個整數整除。當一個數字可以被另一個數字整除時，這意味著它們之間有一種特定的數學關係，這對於研究數字的性質和結構非常重要。可除性是數論的核心概念之一，並且在許多數學問題和應用中都起著關鍵作用。

例句及翻譯：

例句 1：

在數學中，所有偶數都具有可除性，因為它們都可以被2整除。

In mathematics, all even numbers have divisibility by 2, as they can be divided by 2.

例句 2：

我們可以用質數來檢查數字的可除性。

We can use prime numbers to check the divisibility of numbers.

例句 3：

可除性是數論中的一個重要概念，幫助我們理解數字之間的關係。

Divisibility is an important concept in number theory that helps us understand the relationships between numbers.

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