Table of 4

How to say the table of 4

Four one is 4, four twos are 8, four threes are 12, four fours are 16, four fives are 20, four sixes are 24, four sevens are 28, four eights are 32, four nines are 36, four tens are 40.

In Hindi

चार एकम चार, चार दूनी आठ, चार तिया बारह, चार चौके सोलह, चार पंजे बीस, चार छक्के चौबीस, चार सत्ते अट्ठाईस, चार अट्ठे बत्तीस, चार नवें छत्तीस, चार दहाई चालीस।

This is the traditional chant used in Hindi-medium schools. The words for the multiplier (एकम, दूनी, तिया and so on) vary a little from region to region. All the pahade from 2 to 20 are on the Hindi pahade page.

A quick way to work it out

Double, and double again. For 4 × 7, double 7 to get 14, then double 14 to get 28. For 4 × 18: 36, then 72. This is quicker and safer than counting up in fours, and it works for any size of number.

Patterns in the table of 4

• Last digit. The last digits run 4, 8, 2, 6 and 0 and then start again, a cycle of five. All of them are even, so no answer in the table of 4 can be odd.
• Odd and even. 4 is even, so every answer is even, whatever you multiply by.
• Digit totals. Add the digits of each answer until one digit is left. For the first nine answers you get 4, 8, 3, 7, 2, 6, 1, 5 and 9: every digit from 1 to 9, once each. This happens for every number that is not a multiple of 3.
• Steps of 4. Each answer is 4 more than the one above it. So if 4 × 7 slips your mind, take 4 × 6 = 24 and add 4 to get 28.
• Total of the first ten. Add the first ten answers and you get 220. That is 55 × 4, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 4 is built

4 is not prime: it can be written as 2 × 2. So its table can be built from a smaller one. For example 4 × 6 is 2 × 12, and 2 × 6 = 12, so the answer is 2 × 12 = 24. The square of 4 is 4 × 4 = 16. On a multiplication chart the squares lie on the diagonal line from top left to bottom right.

How much is really new? Because 4 × 3 is the same as 3 × 4, a child who already knows the tables below 4 has met most of this one. Up to × 10, only 7 facts are new: 4 × 4, 4 × 5, 4 × 6, 4 × 7, 4 × 8, 4 × 9 and 4 × 10.

Where you meet 4

Cars have 4 wheels, chairs and tables have 4 legs, a square has 4 sides and a year has 4 seasons in many school books. Nine cars need 4 × 9 = 36 tyres. A quarter is one of 4 equal parts, so this table also helps with quarters.

Division facts from this table

Every line gives a division fact for free. From 4 × 7 = 28 you know that 28 ÷ 4 = 7 and 28 ÷ 7 = 4. To divide a number by 4, look for it in the answers above: 36 is on line 9, so 36 ÷ 4 = 9. More on this in division from tables.

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Next

All tables: 1 to 10, 11 to 20, 21 to 30. Methods: table tricks.