using only 23478 write two factors that when rounded equal 37,000.

Question

must be two factors and product must equal 37,000

Answer 1

No solution.

We can't use only 2, 3, 4, 7, and 8 to make two factors that, when multiplied together, equal 37,000.

37,000 has, as one of its factors, 5.  There is no factor of 5 in 2, 3, 4, 7, or 8.  Since all numbers divisible by 5 must end in 0 or 5 and since 2, 3, 4, 7, and 8 don't contain a 0 or 5, we can't arrange 2, 3, 4, 7, and 8 to make a number divisible by 5.

If you meant 'use 2, 3, 4, 7, and 8 to make two numbers that, when rounded to the thousands place, make 37,000,' then:

37,248

37,428