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Without dividing, determine if 77,831 is divisible by 2 and explain how you know.

77,831◻ divisible by 2

Without dividing, determine if $77$ , $831$ is divisible by $2$ and explain how you know. $\newline$ $77,831 \square$ divisible by $2$

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Write an equivalent ratio

Full solution

Q. Without dividing, determine if

77

,

831

is divisible by

2

and explain how you know.

\newline

77,831 \square

divisible by

2

Determine Divisibility Rule: Determine the divisibility rule for $2$ . The divisibility rule for $2$ is that a number is divisible by $2$ if its last digit (the units digit) is even ( $0$ , $2$ , $4$ , $6$ , or $8$ ).
Apply Rule to Number: Apply the divisibility rule for $2$ to the number $77,831$ . The last digit of $77,831$ is $1$ , which is not an even number.
Conclude Divisibility: Conclude based on the divisibility rule. $\newline$ Since the last digit is not even, $77,831$ is not divisible by $2$ .

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