QuestionFind a 3-digit number divisible by 6 and explain your reasoning.
Studdy Solution
STEP 1
Assumptions1. We need to find a3-digit number. . The number must be divisible by6.
STEP 2
A number is divisible by6 if it is divisible by both2 and.
STEP 3
A number is divisible by2 if its last digit is even (0,2,,6, or8).
STEP 4
A number is divisible by3 if the sum of its digits is divisible by3.
STEP 5
Let's choose an arbitrary3-digit number that ends with an even number. For example,102.
STEP 6
Check if this number is divisible by3. We do this by adding the digits and checking if the sum is divisible by3.
STEP 7
Since3 is divisible by3, the number102 is divisible by3.
STEP 8
Since102 is divisible by both2 and3, it is also divisible by6.
Therefore,102 is a3-digit number that is divisible by6.
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