Question

ABCxAxBxC = 6320

A=? B=? C=?

Answer 1

PREGUNTA

ABCxAxBxC = 6320

        A=? B=? C=?

SOLUCIÓN

Hola!! :D

Descompondremos en factores al número luego compararemos

           $\overline{ABC} \times A \times B \times C = 6320 \\\\\overline{ABC} \times A \times B \times C = 3160 \times 2\\\\\overline{ABC} \times A \times B \times C = 1580 \times 2 \times 2\\\\\overline{ABC} \times A \times B \times C =790 \times 2 \times 2 \times 2\\\\\overline{ABC} \times A \times B \times C = 158 \times 2 \times 2 \times 2 \times 5\\\\\overline{ABC} \times A \times B \times C = 158 \times \underbrace{2 \times 2 \times 2}_{8} \times 5$

         $\overline{ABC} \times A \times B \times C=158\times 1\times 5 \times 8\\\\Comparando \\\\\boxed{\boldsymbol{A = 1 }} \: \: \: \: \: \boxed{\boldsymbol{B = 5}} \: \: \: \: \: \boxed{\boldsymbol{C = 8 }}$