Questions: Classify 29 / 580,059 as true or false. Choose the correct answer below. A. True, because 29 580,000 and 29 / 59 B. False, because 29 580,000 and 29 59 C. True, because 29 / 580,000 and 29 59 D. True, because 29 / 580,000 and 29 / 59

Classify 29 / 580,059 as true or false. Choose the correct answer below.
A. True, because 29 580,000 and 29 / 59
B. False, because 29 580,000 and 29 59
C. True, because 29 / 580,000 and 29 59
D. True, because 29 / 580,000 and 29 / 59

Transcript text: Classify $29 / 580,059$ as true or false. Choose the correct answer below. A. True, because $29 \mid 580,000$ and $29 / 59$ B. False, because $29 \mid 580,000$ and $29 \mid 59$ C. True, because $29 / 580,000$ and $29 \mid 59$ D. True, because $29 / 580,000$ and $29 / 59$

Solution

Solution Steps

To determine if $29$ divides $580,059$, we need to check if the remainder is zero when $580,059$ is divided by $29$. If the remainder is zero, then $29$ is a divisor of $580,059$, and the statement is true. Otherwise, it is false.

Step 1: Check Divisibility

To determine if $29$ divides $580,059$, we calculate the remainder of $580,059$ when divided by $29$: \[ 580059 \mod 29 = 1 \]

Step 2: Analyze the Result

Since the remainder is $1$, it indicates that $29$ does not divide $580,059$ evenly. Therefore, the statement that $29$ divides $580,059$ is false.