factored

factored的音标为["fæktəd]，基本翻译为“因数分解的；因子的；分解的”，速记技巧为“fact（事实）＋or（人）＋ed（的）＝因数分解的”。

factored这个词的英文词源可以追溯到拉丁语词根“factor”和“factorium”，意为“因子”或“因素”。它的变化形式主要有“factorize”、“factorial”和“factorization”等。

相关单词：

factorize：意为“因子化”，指将一个复杂的问题分解为更小的、更容易处理的子问题。

factorial：意为“因子的”，是数学中的一个概念，用于表示一个数的所有因子（包括1但不包括它本身）的乘积。

factorization：意为“因子的化”，指将一个复杂问题分解为因子的过程或方法。

factored这个词在英语中常用于数学、经济学等领域，特别是在计算数学中，将问题分解为更小的组成部分，以便更有效地解决它们。这种分解方法有助于提高解决问题的效率，降低复杂性。

常用短语：

1. factored out （因式分解）

2. factor in （考虑因素）

3. factor out （排除因素）

4. prime factors （质因数）

5. factorial （阶乘）

6. factoring （因式分解法）

7. factoring in （考虑其他因素）

双语例句：

1. The problem has been factored out and can be solved easily.

这个问题已经因式分解，可以轻松解决。

2. When making decisions, always factor in the long-term consequences.

做决定时，总是要考虑长期后果。

3. The prime factors of a number are its divisors.

一个数的质因数就是它的除数。

4. Factoring is a useful tool for solving equations and inequalities.

因式分解是解决方程和不等式的一个有用的工具。

5. We need to factor in the cost of transportation when planning our trip.

在计划旅行时，我们需要考虑交通费用。

6. The problem cannot be solved without factoring in the unknown variable.

如果不考虑未知变量，这个问题就无法解决。

7. The factorial of 5 is 120, which is a very large number!

5的阶乘是120，这是一个非常大的数字！

英文小作文：

Factors and Their Importance

Factors are essential components that influence various aspects of our lives, from our health to our academic performance. Factors can be positive or negative, and they can vary in importance depending on the situation. Understanding factors and how they interact is crucial for making informed decisions and achieving success.

For example, when it comes to studying for a test, factors such as time constraints, study materials, and motivation play a significant role in our performance. Factors such as our health and sleep patterns can also affect our ability to concentrate and perform well in schoolwork. On the other hand, factors such as peer pressure and negative attitudes can have a negative impact on our academic performance and success.

In addition to academic factors, there are also financial factors that can affect our lives. For instance, access to education, financial aid, and scholarships can play a significant role in our ability to pursue higher education and succeed in our career goals. Similarly, social factors such as family support, peer relationships, and community resources can also influence our success and well-being.

In conclusion, factors are essential components that influence our lives in numerous ways. Understanding and managing these factors is crucial for achieving success and well-being. By taking into account various factors, we can make informed decisions and take appropriate actions to achieve our goals and dreams.