Table of 13

How to say the table of 13

Thirteen one is 13, thirteen twos are 26, thirteen threes are 39, thirteen fours are 52, thirteen fives are 65, thirteen sixes are 78, thirteen sevens are 91, thirteen eights are 104, thirteen nines are 117, thirteen tens are 130.

In Hindi

तेरह एकम तेरह, तेरह दूनी छब्बीस, तेरह तिया उनतालीस, तेरह चौके बावन, तेरह पंजे पैंसठ, तेरह छक्के अठहत्तर, तेरह सत्ते इक्यानवे, तेरह अट्ठे एक सौ चार, तेरह नवें एक सौ सत्रह, तेरह दहाई एक सौ तीस।

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 three times. For 13 × 6, ten sixes are 60 and three sixes are 18, so the answer is 78. For 13 × 9, think 90 + 27 = 117. The number 13 is prime, so its table shares no shortcut with a smaller table. Splitting is the method.

Patterns in the table of 13

• Last digit. The last digits of the first ten answers are 3, 6, 9, 2, 5, 8, 1, 4, 7 and 0. Each digit from 0 to 9 appears exactly once, which happens only for numbers ending in 1, 3, 7 or 9. After × 10 the same order repeats.
• Odd and even. 13 is odd, so the answers go odd, even, odd, even: 13, 26, 39, 52, 65 and 78. 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. 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 13. Each answer is 13 more than the one above it. So if 13 × 7 slips your mind, take 13 × 6 = 78 and add 13 to get 91.
• Total of the first ten. Add the first ten answers and you get 715. That is 55 × 13, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 13 is built

13 is a prime number: no smaller table contains it, apart from the table of 1. So 13 × 1 = 13 is the first time 13 shows up anywhere on a multiplication chart, and its table cannot be made by doubling or tripling a smaller one. The square of 13 is 13 × 13 = 169. 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. 13 × 8 is 10 × 8 plus 3 × 8, which is 80 + 24 = 104.

Where you meet 13

A year has 52 weeks, and 13 × 4 = 52, so each quarter of the year is 13 weeks long. Thirteen of something is also called a baker's dozen.

Division facts from this table

Every line gives a division fact for free. From 13 × 7 = 91 you know that 91 ÷ 13 = 7 and 91 ÷ 7 = 13. To divide a number by 13, look for it in the answers above: 117 is on line 9, so 117 ÷ 13 = 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.