Table of 25

How to say the table of 25

25 one is 25, 25 twos are 50, 25 threes are 75, 25 fours are 100, 25 fives are 125, 25 sixes are 150, 25 sevens are 175, 25 eights are 200, 25 nines are 225, 25 tens are 250.

A quick way to work it out

Think of quarters of 100. Four 25s make 100, so 25 × 8 is two hundreds: 200. For 25 × 13, twelve 25s are 300 and one more is 325. Another way: multiply by 100 and divide by 4, so 25 × 16 = 1600 ÷ 4 = 400. The answers end 25, 50, 75, 00 in turn.

Patterns in the table of 25

• Last digit. The answers end in 5, 0, 5, 0 and so on. Multiplying 25 by an odd number gives an answer ending in 5, and by an even number an answer ending in 0.
• Odd and even. 25 is odd, so the answers go odd, even, odd, even: 25, 50, 75, 100, 125 and 150. 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 25. Each answer is 25 more than the one above it. So if 25 × 7 slips your mind, take 25 × 6 = 150 and add 25 to get 175.
• Total of the first ten. Add the first ten answers and you get 1375. That is 55 × 25, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 25 is built

25 is not prime: it can be written as 5 × 5. So its table can be built from a smaller one. For example 25 × 6 is 5 × 30, and 5 × 6 = 30, so the answer is 5 × 30 = 150. The square of 25 is 25 × 25 = 625. 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. 25 × 8 is 20 × 8 plus 5 × 8, which is 160 + 40 = 200.

Where you meet 25

A quarter of a hundred, a quarter of a century and a silver jubilee are all 25. Percentages lean on this table: 25% is one quarter.

Division facts from this table

Every line gives a division fact for free. From 25 × 7 = 175 you know that 175 ÷ 25 = 7 and 175 ÷ 7 = 25. To divide a number by 25, look for it in the answers above: 225 is on line 9, so 225 ÷ 25 = 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.