Answer:
2×3²×5³ = 2250
Step-by-step explanation:
It works best to start with the prime factorization and then figure out what the number is. As you can see, any prime 5 or greater can be the one repeated 3 times, and you're assured that the result is greater than 1000.
So, choose any three primes you may like. Pick one of them that is 5 or larger and use it for the one repeated 3 times. Use either of the the other two for the one repeated twice.
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For larger primes, you may find it difficult to determine the product, as most calculators only display 10 to 16 digits.
For example, you could have a tough time with most calculators getting the result ...
... 337,237,979,673,696,421,226,761,468,634,089
as the product of prime factors 56,503×1,001,743²×181,183³
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Any number of web sites can tell you prime numbers as large or small as may be of interest. (I'm not allowed to give you a link here.)
