The prime factors of 6 are 2 and 3. So for a number to be divisible by 6, it must also be divisible by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is divisible by 3.
Illustration: Check whether 23,908 is divisible by 6 or not?
Solution:
Step 1: Determine if the number is even. It ends in 8, so this number is even. Therefore it is divisible by 2.
Step 2: Add the digits together. 2 + 3 + 9 + 0 + 8 = 22.
Step 3: 3 does not divide evenly into 22. So this number is not divisible by 3.
Step 4: Because this number is only divisible by 2, and not by 3, it is not divisible by 6.
Which number is divisible by 4, 5 and 6? | |||
Right Option : B | |||
View Explanation |
35148 is divisible by which number ? | |||
Right Option : C | |||
View Explanation |
What smallest number should be filled to make the 9_ _ 52 divisible by 6 | |||
Right Option : C | |||
View Explanation |
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