Question

Type a digit that makes this statement true.7458__4 is divisible by four

Answer 1

A number is divisible by 4 when the last two digits are a multiple of 4
So 04, 24, 44, 64, 84 are all valid final pairs

This is because all hundreds are divisible by 4

Answer 2

There are 5 numbers that can make the above statement true. They are $\boxed{0,\:2,\:4,\:6\:and\:8}$.

$\longrightarrow{\green{}}$  $\sf\red{745804}$, $\sf\purple{745824}$, $\sf\blue{745844}$, $\sf\pink{745864}$, $\sf\orange{745884}$.

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$\frac{745804}{4} = 186451 \\ \frac{745824}{4} = 186456 \\ \frac{745844}{4} = 186461 \\ \frac{745864}{4} = 186466 \\ \frac{745884}{4} = 186472$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$