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To find the factors of a number, start with its prime factors. In the case of 2000, these are 2 x 2 x 2 x 2 x 5 x 5 x 5. Multiplying different combinations of these gives us the whole list of factors: 1 2

2 x 2 = 4

2 x 2 x 2 = 8

2 x 2 x 2 x 2 = 16

5

5 x 5 = 25

5 x 5 x 5 = 125

2 x 5 =10

2 x 5 x 5 = 50

2 x 5 x 5 = 250

2 x 2 x 5 = 20

2 x 2 x 5 x 5 = 100

2 x 2 x 5 x 5 x 5 = 500

2 x 2 x 2 x 5 = 40

2 x 2 x 2 x 5 x 5 = 200

2 x 2 x 2 x 5 x 5 x 5 = 1000

2 x 2 x 2 x 2 x 5 = 80

2 x 2 x 2 x 2 x 5 x 5 = 400

[2 x 2 x 2 x 2 x 5 x 5 x 5 = 2000] So you're quite right, 2000 does have 20 factors.

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Q: What are the 20 factors of 2000?
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