Question

What is a number greater than 1,000 whose prime factorization contains 1 prime number that does not repeat, 1 prime number that repeats three times, and 1 prime number that repeats twice

Answer 1

find big prime numbers
we need 3 of them
23 and 19 and 101

so we can do
does not repeat
does reapat 3 times
repeats twice
(23)(19³)(101³)=8554589203
there, that's a possible number

if ya wanted a smaller one then
2 and 5 and 11 are prime
(2)(5³)(11²)=30250
that's another possible number

Answer 2

You could just fill in the spaces.

So for the prime number that doesn't repeat, you can just say a random prime number, say like 7.

For the prime number that repeats 3 times, say like 11.

And the prime number that repeats twice, you can just say something like 13.

Then it would be 7 * 11 * 11 * 11 * 13 * 13, which the solution would be 1,574,573, above 1000.