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所谓因数分解法是指根据因数与积的关系,把某个或某些数分解为两个或两个以上的因数连乘的形式,再根据题意进行组合,合理解答问题的一种解题方法,下面举例说明因数分解法在小学数学解题中的应用。一、适用因数分解法解概念题例1 填空:975×935×972×(),要使这个连乘积的最后四个数字都是0,在括号内最小应填什么数?解:要使连乘积最后数字每含一个零,这些数中必须含有质因数2与5各一个。根据题意,要使
The so-called factorization method refers to a method of decomposing one or several numbers into two or more factors in accordance with the relationship between factors and products, and then combining them according to the meaning of questions to solve problems in a reasonable manner. The method below illustrates the application of the factorization method in primary school mathematics problem solving. First, the application of factor decomposition method to solve the concept of problem examples 1 fill in the blank: 975 × 935 × 972 × (), to make the last four consecutive product numbers are 0, what should be filled in the minimum number of parentheses? Solution: In order for the last number of successive product products to contain a single zero, these numbers must contain one of the prime factors 2 and 5, respectively. According to the meaning of the question, to make