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Let's go ahead and break 4125 into it's prime factors:

4125 ÷ 5 = 825

825 ÷ 5 = 165

165 ÷ 5 = 33

33 ÷ 3 = 11

11 ÷ 11 = 1

So the prime numbers that make 4125 are: 3 • 5 • 5 • 5 • 11

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