Table of 30

How to say the table of 30

30 one is 30, 30 twos are 60, 30 threes are 90, 30 fours are 120, 30 fives are 150, 30 sixes are 180, 30 sevens are 210, 30 eights are 240, 30 nines are 270, 30 tens are 300.

A quick way to work it out

Use the table of 3 and make the answer ten times as large. For 30 × 7: 3 × 7 = 21, so the answer is 210. Every answer ends in 0.

Patterns in the table of 30

• Last digit. Every answer ends in 0, because 30 is a multiple of 10. The digits in front of the zero are simply the table of 3: 3, 6, 9, 12 and 15.
• Odd and even. 30 is even, so every answer is even, whatever you multiply by.
• Digit totals. Add the digits of each answer until one digit is left, and you get 3, 6 and 9, repeating. Only 3, 6 and 9 appear, because 30 is a multiple of 3.
• Steps of 30. Each answer is 30 more than the one above it. So if 30 × 7 slips your mind, take 30 × 6 = 180 and add 30 to get 210.
• Total of the first ten. Add the first ten answers and you get 1650. That is 55 × 30, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 30 is built

30 is not prime: it can be written as 2 × 15 or 3 × 10 or 5 × 6. So its table can be built from a smaller one. For example 30 × 6 is 5 × 36, and 6 × 6 = 36, so the answer is 5 × 36 = 180. The square of 30 is 30 × 30 = 900. On a multiplication chart the squares lie on the diagonal line from top left to bottom right.

Where you meet 30

April, June, September and November have 30 days, and half an hour is 30 minutes. Four half-hours are 30 × 4 = 120 minutes.

Division facts from this table

Every line gives a division fact for free. From 30 × 7 = 210 you know that 210 ÷ 30 = 7 and 210 ÷ 7 = 30. To divide a number by 30, look for it in the answers above: 270 is on line 9, so 270 ÷ 30 = 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.