Table of 29

How to say the table of 29

29 one is 29, 29 twos are 58, 29 threes are 87, 29 fours are 116, 29 fives are 145, 29 sixes are 174, 29 sevens are 203, 29 eights are 232, 29 nines are 261, 29 tens are 290.

A quick way to work it out

Thirty times minus one lot. For 29 × 7: 210 − 7 = 203. Going down the table, the units digit drops by 1 each row: 29, 58, 87, 116, 145.

Patterns in the table of 29

• Last digit. The last digits of the first ten answers are 9, 8, 7, 6, 5, 4, 3, 2, 1 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. 29 is odd, so the answers go odd, even, odd, even: 29, 58, 87, 116, 145 and 174. 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 2, 4, 6, 8, 1, 3, 5, 7 and 9: every digit from 1 to 9, once each. This happens for every number that is not a multiple of 3.
• Steps of 29. Each answer is 29 more than the one above it. So if 29 × 7 slips your mind, take 29 × 6 = 174 and add 29 to get 203.
• Total of the first ten. Add the first ten answers and you get 1595. That is 55 × 29, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 29 is built

29 is a prime number: no smaller table contains it, apart from the table of 1. So 29 × 1 = 29 is the first time 29 shows up anywhere on a multiplication chart, and its table cannot be made by doubling or tripling a smaller one. The square of 29 is 29 × 29 = 841. 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. 29 × 8 is 20 × 8 plus 9 × 8, which is 160 + 72 = 232.

Where you meet 29

February has 29 days in a leap year. The number 29 is prime, and like 9 and 19 it is best handled from the round number just above it.

Division facts from this table

Every line gives a division fact for free. From 29 × 7 = 203 you know that 203 ÷ 29 = 7 and 203 ÷ 7 = 29. To divide a number by 29, look for it in the answers above: 261 is on line 9, so 261 ÷ 29 = 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.