Table of 7

How to say the table of 7

Seven one is 7, seven twos are 14, seven threes are 21, seven fours are 28, seven fives are 35, seven sixes are 42, seven sevens are 49, seven eights are 56, seven nines are 63, seven tens are 70.

In Hindi

सात एकम सात, सात दूनी चौदह, सात तिया इक्कीस, सात चौके अट्ठाईस, सात पंजे पैंतीस, सात छक्के बयालीस, सात सत्ते उनचास, सात अट्ठे छप्पन, सात नवें तिरसठ, सात दहाई 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

Split 7 into 5 and 2. For 7 × 8, five eights are 40 and two eights are 16, and 40 + 16 = 56. A memory line for the fact children miss most: 5, 6, 7, 8 gives 56 = 7 × 8. The table of 7 has the least obvious pattern, so the splitting method matters more here than anywhere else.

Patterns in the table of 7

• 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. 7 is odd, so the answers go odd, even, odd, even: 7, 14, 21, 28, 35 and 42. 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 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 7. Each answer is 7 more than the one above it. So if 7 × 7 slips your mind, take 7 × 6 = 42 and add 7 to get 49.
• Total of the first ten. Add the first ten answers and you get 385. That is 55 × 7, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 7 is built

7 is a prime number: no smaller table contains it, apart from the table of 1. So 7 × 1 = 7 is the first time 7 shows up anywhere on a multiplication chart, and its table cannot be made by doubling or tripling a smaller one. The square of 7 is 7 × 7 = 49. On a multiplication chart the squares lie on the diagonal line from top left to bottom right.

How much is really new? Because 7 × 3 is the same as 3 × 7, a child who already knows the tables below 7 has met most of this one. Up to × 10, only 4 facts are new: 7 × 7, 7 × 8, 7 × 9 and 7 × 10.

Where you meet 7

A week has 7 days. Six weeks of holidays are 7 × 6 = 42 days, and 7 × 52 = 364 shows why a normal year is 52 weeks and 1 day.

Division facts from this table

Every line gives a division fact for free. From 7 × 7 = 49 you know that 49 ÷ 7 = 7 and 49 ÷ 7 = 7. To divide a number by 7, look for it in the answers above: 63 is on line 9, so 63 ÷ 7 = 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.