Free · Ready to print · Letter & A4
Divisibility rules
Need a divisibility rules within reach? Print it for the wall, or make a fact-list version to fill in.
- Letter & A4 ready
- Nothing to fill in
- Reprint it any time
Reference chart
Divisibility rules
Look at the last digit
- 2It divides by 2 when the last digit is even.346 ends in 6
- 5It divides by 5 when the last digit is 0 or 5.245 ends in 5
- 10It divides by 10 when the last digit is 0.870 ends in 0
Add up the digits
- 3It divides by 3 when the digits add to a multiple of 3.5,124 gives 5+1+2+4 = 12
- 9It divides by 9 when the digits add to a multiple of 9.4,761 gives 4+7+6+1 = 18
Two steps
- 4It divides by 4 when the last two digits make a multiple of 4.1,316 ends in 16, and 16 = 4 × 4
- 6It divides by 6 when it passes the 2 test and the 3 test.138 is even, and 1+3+8 = 12
What's on this chart
A divisibility rule is a shortcut with a real payoff: it turns a division a child would have to work out into something they can see. Faced with 5,124, a child either sets up a division or adds 5+1+2+4, gets 12, and knows immediately that 3 divides it. The second child has more attention left over for the actual question.
Why this chart helps
The rules are grouped here by what the test asks you to do rather than by the size of the number, because that grouping is the lesson. Nearly every rule a primary child needs is either look at the end or add up the digits, and seeing them sorted that way is what makes seven separate facts into two ideas with a couple of extras.
More printable charts
- Multiplication table The whole times table on one page, from 1×1 to 12×12. Print this chart
- Addition table Every addition fact from 0+0 to 10+10 in one grid. Print this chart
- Subtraction table A subtraction chart built the way children actually read one: find the number you start with on the left, follow the row across to what you are taking away, and the answer is sitting there. Print this chart
- Division table Every division fact to 12, set out as twelve families rather than a grid. Print this chart
- Hundreds chart One hundred numbers in ten neat rows — the most useful single page in early math. Print this chart
- Number bonds to 10 Every pair that makes ten, drawn as counters as well as numbers. Print this chart
- Fraction wall One whole, then the same width cut into halves, thirds, quarters, and on down to twelfths. Print this chart
- Place value chart Every column is worth ten times the one to its right — ones, tens, hundreds, and up to hundred thousands — with the number 453,027 placed in so the columns are more than labels. Print this chart
- Number line 0–20 A clean 0 to 20 number line — the model behind counting on, adding, subtracting, and the first place rounding to the nearest ten makes visual sense. Print this chart
- Prime numbers to 50 The fifteen primes below fifty, marked on a grid of ten. Print this chart
- Prime numbers to 100 All twenty-five primes below a hundred, marked on a grid of ten. Print this chart
- Prime numbers to 150 Every prime up to 150, marked on a grid of ten. Print this chart
- Prime numbers to 200 The full range to 200 on a grid of ten, every prime marked. Print this chart
- Factors chart Every factor of every number up to fifty, written out. Print this chart
- Fraction, decimal & percent The same amount written three ways — as a fraction, a decimal, and a percent — for the values a child meets most. Print this chart
- Fraction rules Six sentences that decide whether a fraction answer is right before any arithmetic happens. Print this chart
- Roman numerals Seven symbols, the numbers they build, and the three rules for putting them together. Print this chart
- Measurement conversions Length, weight, capacity, and time — metric and customary — on one page, ending with the bit children actually get wrong: whether to multiply or divide. Print this chart
