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108的因数有哪些

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108的因数是指能够整除108的所有正整数,我们可以通过分解质因数的方法找到108的所有因数。

将108分解为质因数:$108 = 2 \times 2 \times 3 \times 3 \times 3$,这是一个五次方数。

我们可以通过计算所有可能的质因数组合来找到108的所有因数,对于每个质因数,我们可以选择使用它0次、1次、2次等,直到它的最大次数(在这个例子中是5次),我们有以下组合:

- $2^0 \times 3^0 = 1$

- $2^1 \times 3^0 = 2$

- $2^2 \times 3^0 = 4$

- $2^3 \times 3^0 = 8$

- $2^0 \times 3^1 = 3$

- $2^1 \times 3^1 = 6$

- $2^2 \times 3^1 = 12$

- $2^3 times 3^1 = 24$

- $2^0 \times 3^2 = 9$

- $2^1 \times 3^2 = 18$

- $2^2 \times 3^2 = 36$

- $2^3 \times 3^2 = 72$

- $2^0 \times 3^3 = 27$

- $2^1 \times 3^3 = 54$

- $2^2 \times 3^3 = 162$

- $2^3 times 3^3 = 486$

- $2^0 \times 3^4 = 81$

- $2^1 \times 3^4 = 162$

- $2^2 \times 3^4 = 546$

- $2^3 \times 3^4 = 2166$

- $2^0 \times 3^5 = 243$

- $2^1 \times 3^5 = 729$

- $2^2 \times 3^5 = 3024$

- $2^3 \times 3^5 = 18144$

- $2^0 \times 3^6 = 729$

- $2^1 \times 3^6 = 5488$

- $2^2 \times 3^6 = 16796$

- $2^3 \times 3^6 = 49896$

- $2^4 \times 3^6 = 798916/7=79891.../7 (整除)