IXL | Divisibility rules: word problems

There are 663 olives in the jars in the pantry. If each jar contains the exact same number of olives, how many jars could there be?

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question

A muffin factory made 6,390 blueberry muffins. After arranging the muffins into packages, the factory did not have any leftover muffins. How many muffins could the factory be putting in each package?

key idea

A number is divisible by 6 if it is divisible by both 2 and 3.
It is divisible by 2 if its ones digit is 0, 2, 4, 6, or 8.
It is divisible by 3 if the sum of its digits is divisible by 3.

A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

solution

Which number evenly divides 6,390? Try each number.

First try the "divisible by 6" rule on 6,390.

First check if 6,390 is divisible by 2.

Look at the ones digit:

6,390

The ones digit is 0.

So, the number is divisible by 2.

Now check if 6,390 is divisible by 3.

Find the sum of the digits:

6 + 3 + 9 + 0 = 18

18 is divisible by 3. So, the number is divisible by 3.

The rule says that 6,390 is divisible by 6.

Finally, try the "divisible by 4" rule on 6,390.

Look at the number formed by the last two digits:

6,390 → 90

90 is not divisible by 4.

The rule says that 6,390 is not divisible by 4.

6,390 is divisible by 6. The factory could be putting 6 muffins into each package.

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Lesson: Divisibility rules

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