9600_96000除以125的简便方法

9600 = 2^7 × 3^1 × 5^2 (2的7次方 乘以 3的1次方 乘以 5的平方)

所以9600共有 (7+1)×(1+1)×(2+1) = 48 个因数

分别为:

2^0 × 3^0 × 5^0 = 1

2^1 × 3^0 × 5^0 = 2

2^2 × 3^0 × 5^0 = 4

2^3 × 3^0 × 5^0 = 8

2^4 × 3^0 × 5^0 = 16

2^5 × 3^0 × 5^0 = 32

2^6 × 3^0 × 5^0 = 64

2^7 × 3^0 × 5^0 = 128

2^0 × 3^1 × 5^0 = 3

2^1 × 3^1 × 5^0 = 6

2^2 × 3^1 × 5^0 = 12

2^3 × 3^1 × 5^0 = 24

2^4 × 3^1 × 5^0 = 48

2^5 × 3^1 × 5^0 = 96

2^6 × 3^1 × 5^0 = 192

2^7 × 3^1 × 5^0 = 384

2^0 × 3^0 × 5^1 = 5

2^1 × 3^0 × 5^1 = 10

2^2 × 3^0 × 5^1 = 20

2^3 × 3^0 × 5^1 = 40

2^4 × 3^0 × 5^1 = 80

2^5 × 3^0 × 5^1 = 160

2^6 × 3^0 × 5^1 = 320

2^7 × 3^0 × 5^1 = 640

2^0 × 3^1 × 5^1 = 15

2^1 × 3^1 × 5^1 = 30

2^2 × 3^1 × 5^1 = 60

2^3 × 3^1 × 5^1 = 120

2^4 × 3^1 × 5^1 = 240

2^5 × 3^1 × 5^1 = 480

2^6 × 3^1 × 5^1 = 960

2^7 × 3^1 × 5^1 = 1920

2^0 × 3^0 × 5^2 = 25

2^1 × 3^0 × 5^2 = 50

2^2 × 3^0 × 5^2 = 100

2^3 × 3^0 × 5^2 = 200

2^4 × 3^0 × 5^2 = 400

2^5 × 3^0 × 5^2 = 800

2^6 × 3^0 × 5^2 = 1600

2^7 × 3^0 × 5^2 = 3200

2^0 × 3^1 × 5^2 = 75

2^1 × 3^1 × 5^2 = 150

2^2 × 3^1 × 5^2 = 300

2^3 × 3^1 × 5^2 = 600

2^4 × 3^1 × 5^2 = 1200

2^5 × 3^1 × 5^2 = 2400

2^6 × 3^1 × 5^2 = 4800

2^7 × 3^1 × 5^2 = 9600