Table of 17

How to say the table of 17

Seventeen one is 17, seventeen twos are 34, seventeen threes are 51, seventeen fours are 68, seventeen fives are 85, seventeen sixes are 102, seventeen sevens are 119, seventeen eights are 136, seventeen nines are 153, seventeen tens are 170.

In Hindi

सत्रह एकम सत्रह, सत्रह दूनी चौंतीस, सत्रह तिया इक्यावन, सत्रह चौके अड़सठ, सत्रह पंजे पचासी, सत्रह छक्के एक सौ दो, सत्रह सत्ते एक सौ उन्नीस, सत्रह अट्ठे एक सौ छत्तीस, सत्रह नवें एक सौ तिरपन, सत्रह दहाई एक सौ सत्तर।

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 seven times, or twenty times minus three times. For 17 × 6: 120 − 18 = 102. For 17 × 4: 40 + 28 = 68. Use whichever is easier for the number in hand.

Patterns in the table of 17

• Last digit. The last digits of the first ten answers are 7, 4, 1, 8, 5, 2, 9, 6, 3 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. 17 is odd, so the answers go odd, even, odd, even: 17, 34, 51, 68, 85 and 102. 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 8, 7, 6, 5, 4, 3, 2, 1 and 9: every digit from 1 to 9, once each. This happens for every number that is not a multiple of 3.
• Steps of 17. Each answer is 17 more than the one above it. So if 17 × 7 slips your mind, take 17 × 6 = 102 and add 17 to get 119.
• Total of the first ten. Add the first ten answers and you get 935. That is 55 × 17, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 17 is built

17 is a prime number: no smaller table contains it, apart from the table of 1. So 17 × 1 = 17 is the first time 17 shows up anywhere on a multiplication chart, and its table cannot be made by doubling or tripling a smaller one. The square of 17 is 17 × 17 = 289. 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. 17 × 8 is 10 × 8 plus 7 × 8, which is 80 + 56 = 136.

Where you meet 17

The number 17 is prime, so before 17 × 1 it appears in no times table at all. One answer worth noticing is 17 × 3 = 51: 51 looks like a prime number, but it is not.

Division facts from this table

Every line gives a division fact for free. From 17 × 7 = 119 you know that 119 ÷ 17 = 7 and 119 ÷ 7 = 17. To divide a number by 17, look for it in the answers above: 153 is on line 9, so 153 ÷ 17 = 9. More on this in division from tables.

Try these

Tap a question to see the answer.

Next

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