# Primes and divisibility word problem

When the accountants for lose-a-digit Computer, Inc. had finished preparing their annual budget, they presented the final figures to the president, I.M. Smart. "It looks like a good year," he exclaimed. "The amount of the budget just happens to be the smallest number of cents (other than one cent) that is a perfect square, a perfect cube, and a perfect fifth power." How much money has Lose-a-digit budgeted for the year?

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:09 pm ad1c9bdddfhttps://brainmass.com/math/number-theory/primes-and-divisibility-word-problem-4559

#### Solution Summary

The smallest number (other than one) that is a perfect square, a perfect cube, and a perfect fifth power is calculated.

$2.19