Table of 16

How to say the table of 16

Sixteen one is 16, sixteen twos are 32, sixteen threes are 48, sixteen fours are 64, sixteen fives are 80, sixteen sixes are 96, sixteen sevens are 112, sixteen eights are 128, sixteen nines are 144, sixteen tens are 160.

In Hindi

सोलह एकम सोलह, सोलह दूनी बत्तीस, सोलह तिया अड़तालीस, सोलह चौके चौंसठ, सोलह पंजे अस्सी, सोलह छक्के छियानवे, सोलह सत्ते एक सौ बारह, सोलह अट्ठे एक सौ अट्ठाईस, सोलह नवें एक सौ चौवालीस, सोलह दहाई एक सौ साठ।

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 four times, or double the table of 8. For 16 × 5: 8 × 5 = 40, doubled is 80. For 16 × 7: 7, 14, 28, 56, 112. The table of 16 is the end of the doubling chain 2, 4, 8, 16.

Patterns in the table of 16

• Last digit. The last digits run 6, 2, 8, 4 and 0 and then start again, a cycle of five. All of them are even, so no answer in the table of 16 can be odd.
• Odd and even. 16 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 7, 5, 3, 1, 8, 6, 4, 2 and 9: every digit from 1 to 9, once each. This happens for every number that is not a multiple of 3.
• Steps of 16. Each answer is 16 more than the one above it. So if 16 × 7 slips your mind, take 16 × 6 = 96 and add 16 to get 112.
• Total of the first ten. Add the first ten answers and you get 880. That is 55 × 16, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 16 is built

16 is not prime: it can be written as 2 × 8 or 4 × 4. So its table can be built from a smaller one. For example 16 × 6 is 4 × 24, and 4 × 6 = 24, so the answer is 4 × 24 = 96. The square of 16 is 16 × 16 = 256. On a multiplication chart the squares lie on the diagonal line from top left to bottom right.

Split it. Above 10, the sure method is to split the number into tens and units. 16 × 8 is 10 × 8 plus 6 × 8, which is 80 + 48 = 128.

Where you meet 16

A square of 4 rows and 4 columns has 16 boxes. Before decimal coins came in 1957, an Indian rupee was 16 annas, which is why grandparents may still say "solah aane sach" for something fully true.

Division facts from this table

Every line gives a division fact for free. From 16 × 7 = 112 you know that 112 ÷ 16 = 7 and 112 ÷ 7 = 16. To divide a number by 16, look for it in the answers above: 144 is on line 9, so 144 ÷ 16 = 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.