Table of 15

How to say the table of 15

Fifteen one is 15, fifteen twos are 30, fifteen threes are 45, fifteen fours are 60, fifteen fives are 75, fifteen sixes are 90, fifteen sevens are 105, fifteen eights are 120, fifteen nines are 135, fifteen tens are 150.

In Hindi

पंद्रह एकम पंद्रह, पंद्रह दूनी तीस, पंद्रह तिया पैंतालीस, पंद्रह चौके साठ, पंद्रह पंजे पचहत्तर, पंद्रह छक्के नब्बे, पंद्रह सत्ते एक सौ पाँच, पंद्रह अट्ठे एक सौ बीस, पंद्रह नवें एक सौ पैंतीस, पंद्रह दहाई एक सौ पचास।

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

Ten times, plus half of that. For 15 × 6, ten sixes are 60, half of 60 is 30, and 60 + 30 = 90. For 15 × 8: 80 + 40 = 120. The answers end 5, 0, 5, 0 in turn.

Patterns in the table of 15

• Last digit. The answers end in 5, 0, 5, 0 and so on. Multiplying 15 by an odd number gives an answer ending in 5, and by an even number an answer ending in 0.
• Odd and even. 15 is odd, so the answers go odd, even, odd, even: 15, 30, 45, 60, 75 and 90. An odd number times an odd number is odd, and times an even number is even.
• Digit totals. Add the digits of each answer until one digit is left, and you get 6, 3 and 9, repeating. Only 3, 6 and 9 appear, because 15 is a multiple of 3.
• Steps of 15. Each answer is 15 more than the one above it. So if 15 × 7 slips your mind, take 15 × 6 = 90 and add 15 to get 105.
• Total of the first ten. Add the first ten answers and you get 825. That is 55 × 15, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 15 is built

15 is not prime: it can be written as 3 × 5. So its table can be built from a smaller one. For example 15 × 6 is 3 × 30, and 5 × 6 = 30, so the answer is 3 × 30 = 90. The square of 15 is 15 × 15 = 225. 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. 15 × 8 is 10 × 8 plus 5 × 8, which is 80 + 40 = 120.

Where you meet 15

A quarter of an hour is 15 minutes, so 15 × 4 = 60 minutes make the hour. Three quarters of an hour are 15 × 3 = 45 minutes.

Division facts from this table

Every line gives a division fact for free. From 15 × 7 = 105 you know that 105 ÷ 15 = 7 and 105 ÷ 7 = 15. To divide a number by 15, look for it in the answers above: 135 is on line 9, so 135 ÷ 15 = 9. More on this in division from tables.

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