A complete check has two parts: every reported base must be prime, and multiplying each base the reported number of times must reproduce the input exactly.
Use exact integer multiplication
Floating-point rounding is unnecessary within this product bound. BigInt keeps every division, remainder and product exact.
Reproduce important arithmetic
PrimeFactor performs exact integer recomposition and primality checks before displaying a result. For important downstream use, repeat the multiplication independently and apply only the rules of the neutral integer problem you intend to solve. The tool does not assess cryptographic strength or approve any safety-critical design.