Division Facts Worksheets (Up to 144 ÷ 12)

About these worksheets

These sheets extend the division facts to divisors and answers up to 12, matching times tables learned up to 12 × 12. Each fact is the reverse of a multiplication fact, so 12 × 8 = 96 gives 96 ÷ 12 = 8.

Dividing by 11 and 12

• For numbers like 77 or 88, the answer is the repeated digit: 77 ÷ 11 = 7.
• To divide by 12, think of the 12 times table: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144.

Division facts to 144 worksheets: what is in the set

There are 7 division facts to 144 worksheets on this page, and every one has an answer key except for any cut-out games. The first sets are facts and missing numbers, the next use the caterpillar, a riddle and match-up cards, and the last has bingo boards.

Division facts to 144: what is new?

Division facts to 144 extend the division facts to 100 with the 11 and 12 times tables in reverse. With divisors and answers from 1 to 12, there are 144 facts, and 44 of them are new beyond the 100 facts to 10 × 10. This table counts the groups of facts:

The dividends over 100 are 108, 110, 120, 121, 132, 144. Children who have learned the times tables up to 12 × 12 can divide any of these by thinking of the multiplication, as the Common Core standards for grade 3 operations and algebraic thinking suggest. The standard 3.OA.C.7 stops at 100, and many classes in grade 4 extend the facts to 144.

Division worksheets 1-12: every dividend over 100

The division worksheets 1-12 have only 6 different dividends over 100, so it is worth knowing each one. This table lists every division fact for each of them, with divisors and answers from 2 to 12:

Dividing by 11: the pattern and where it stops

Dividing by 11 has a pattern that children enjoy. The two-digit multiples of 11 have the same digit twice, so 77 ÷ 11 = 7 and 88 ÷ 11 = 8. The pattern changes after 99, so the table below shows all twelve facts, with the last three that need to be learned:

A rule for checking divisibility by 11 is to add the digits in the odd places and subtract the digits in the even places. The result must be 0 or a multiple of 11. For 121, 1 − 2 + 1 = 0, so 121 is a multiple of 11. Wikipedia’s article on divisibility rules has this and other rules.

Dividing by 12: two easy steps

Dividing by 12 can be done in two easy steps: divide by 4 and then by 3, or by 3 and then by 4. Both ways give the same answer, and they use facts that children already know. The table shows seven examples:

Division facts 12: how many ways can you divide?

Division facts 12 are useful because 12 has many divisors. This table shows the divisors of seven numbers up to 144. The number 144 has 15 divisors, which is more than any other number up to 144 except 120, which has 16:

Numbers with many divisors are called highly composite, and they are used for packaging, since an item such as 12 eggs can be put in many different arrangements: 1 × 12, 2 × 6 or 3 × 4. The twelve square numbers up to 144 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144.

Dividing by 11 and 12: missing divisors

The worksheet with missing numbers asks for the divisor, as in 96 ÷ ☐ = 8. The method is to think multiplication: what number times 8 makes 96? The table shows six examples:

The numbers 11 and 12 also come up outside school. There are 12 months in a year, 12 inches in a foot and 12 items in a dozen, so division by 12 is useful for converting units, such as 60 inches into 5 feet. A child who knows the 12 facts can do this in their head, and it shows why division facts to 144 are worth learning even though the standard stops at 100.

Division worksheets grade 4: common mistakes

The facts with 11 and 12 are easy to mix up. This table shows five mistakes, with the reason and the fix:

Division facts to 144 word problems

Story problems use dozens and rows of 11 or 12. Ask children to write the division and to check the answer with multiplication:

Games and activities for division facts to 144

Children learn division facts to 144 best when they play with it. These games use things that are found at home or in a classroom:

• Dozen division: use egg cartons and boxes of 12 to divide 24, 36 and 48 objects
• Clock division: divide the hours on a clock face into equal groups
• 11s in a row: say the multiples of 11 as fast as possible, and then divide them
• Division bingo to 144: the worksheet pack has bingo boards and calling cards
• Fact family race: write the four facts for 11 × 12 = 132 as fast as possible
• Missing divisor cards: turn over a card and find the missing divisor

Extra support and extra challenge with division facts to 144

For children who need more support: make sure the facts to 100 are secure first. Learn the 11s with their pattern, and then the 12s as 10 times plus 2 times. Do not hurry to the dividends over 100, and practice them three or four a day.

For children who need more challenge: ask for all the divisors of 120 or 144, for the divisibility rule of 11, and for the numbers that can be divided by both 11 and 12. The missing numbers worksheet and the riddle are good challenges.

How to tell that a child is ready to move on from division facts to 144

1. The child knows the 11 and 12 times tables up to 12.
2. The child answers division facts with 11 and 12 by thinking of the multiplication.
3. The child finds the missing divisor in 96 ÷ ☐ = 8.
4. The child answers 24 facts in about two minutes with at least 90% right.

When all four are true, move on to division with remainders or to the long division worksheets.

A 20-minute lesson on division facts to 144

A short lesson is the best way to introduce division facts to 144. This 20-minute plan can be used in a classroom, at a tutoring session or at home, and it uses the worksheets at the end:

Where division facts to 144 fits across the grades

No skill stands alone. This table shows what children learn before and after division facts to 144, with the standard that goes with each step:

This page is the last step before long division. The whole sequence is on the division worksheets page.

Helping at home with division facts to 144

Parents do not need to be experts to help with division facts to 144. These suggestions work well, and each takes only a few minutes:

• Practice the 11s and 12s by counting in 11s and 12s on the stairs.
• Use a dozen eggs, a dozen donuts or a clock face as a model for 12.
• Play a game where one person says a multiple of 11 or 12, and the other says the division.
• Ask the child to explain the pattern in the 11s.
• Check the answers by multiplying.

How to check progress in division facts to 144

A teacher or parent can check progress with the answer key and a few questions. This table shows three common situations, what they mean and what to do next:

A five-day plan for division facts to 144

Most children need about a week of short sessions for division facts to 144. This plan follows the order of the worksheets on this page:

When the plan is complete, move on to division with remainders. The whole sequence is on the division worksheets page.