質因數分解的意思、翻譯和例句

是什麼意思

「質因數分解」是指將一個整數表示為質數的乘積的過程。質數是只能被1和它本身整除的自然數,而質因數分解則是找出一個數的所有質因數,並將它們相乘以得到原來的數。這一過程在數學中非常重要,尤其是在數論和加密學中。

依照不同程度的英文解釋

  1. Breaking a number into prime numbers.
  2. Finding which prime numbers multiply to make a number.
  3. The process of expressing a number as a product of primes.
  4. Finding the prime factors of a number.
  5. Decomposing a number into its prime components.
  6. The mathematical process of expressing a number as a product of its prime factors.
  7. A method used in mathematics to break down a number into its prime elements.
  8. A fundamental operation in number theory involving the multiplication of prime numbers.
  9. An essential technique in mathematics for analyzing the structure of integers.
  10. An operation that reveals the prime constituents of a whole number.

相關英文單字或片語的差別與用法

1:Prime Factorization

用法:

這個術語指的是將一個整數表示為質數的乘積的過程。這個過程對於理解數字的基本結構非常重要,特別是在數學的高級領域,如數論和代數。質因數分解可以幫助我們解決各種數學問題,包括分數簡化和最小公倍數的計算。

例句及翻譯:

例句 1:

42的質因數分解是2 × 3 × 7。

The prime factorization of 42 is 2 × 3 × 7.

例句 2:

在數學中,質因數分解是非常重要的技能。

In mathematics, prime factorization is a very important skill.

例句 3:

我們需要找到這個數的質因數分解來解決問題。

We need to find the prime factorization of this number to solve the problem.

2:Prime Decomposition

用法:

這個術語通常與質因數分解同義,指的是將一個整數分解成質數的乘積。這一過程在數學中有著廣泛的應用,特別是在計算最小公倍數和最大公因數時。質因數分解的結果可以幫助數學家和學生更好地理解數字之間的關係。

例句及翻譯:

例句 1:

質數分解可以幫助我們解決許多數學問題。

Prime decomposition can help us solve many mathematical problems.

例句 2:

我在學校學到了如何進行質數分解。

I learned how to do prime decomposition in school.

例句 3:

這個數的質數分解是理解它的關鍵。

The prime decomposition of this number is key to understanding it.