IXL | Divisibility rules: word problems

Farmer Cara collected 66 eggs to sell. She will sell the eggs in baskets. She wants to put the same number of eggs in each basket without any eggs left over. How many eggs could Farmer Cara put in each basket?

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question

Mona's little brother is playing with blocks. He wants to put all 48 of his blocks into stacks with the same number of blocks in each stack. How many stacks could Mona's brother make?

key idea

A number is divisible by 5 if its ones digit is 0 or 5.

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 9 if the sum of its digits is divisible by 9.

solution

Which number evenly divides 48? Try each number.

First try the "divisible by 5" rule on 48.

Look at the ones digit:

The ones digit is 8.

The rule says that 48 is not divisible by 5.

Next try the "divisible by 6" rule on 48.

First check if 48 is divisible by 2.

Look at the ones digit:

The ones digit is 8.

So, the number is divisible by 2.

Now check if 48 is divisible by 3.

Find the sum of the digits:

4 + 8 = 12

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

The rule says that 48 is divisible by 6.

Finally, try the "divisible by 9" rule on 48.

Find the sum of the digits:

4 + 8 = 12

12 is not divisible by 9.

The rule says that 48 is not divisible by 9.

48 is divisible by 6. Mona's brother could make 6 stacks.

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Lesson: Divisibility rules

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