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    Multiplication Facts

    Any two numbers from 1 to 9, with the working shown

    "Multiplication Facts" Calculator

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    Multiplication Facts: How They Work

    a × b is b lots of a, and the order does not matter: 8 × 3 = 3 × 8.

    Example: 8 × 3

    The 8 times table, 8 × 1 to 8 × 9
    × 18× 216× 324× 432× 540× 648× 756× 864× 972

    3 lots of 8: 8 + 8 + 8 = 24

    See Also

    FAQ

    What is a multiplication fact?

    It is one product of two single digits — 8 × 3 = 24, for example. There are 45 of them once the pairs that only differ by order are counted once, and together they are what the times tables hold.

    Does the order of the two numbers matter?

    Not to the answer: 8 × 3 and 3 × 8 are both 24, because multiplication is commutative. It matters to how the fact is read — 8 × 3 is three lots of eight, 3 × 8 is eight lots of three — and that is exactly why swapping the factors is a way to check the answer.

    How is a multiplication fact worked out without memorising it?

    By adding: 8 × 3 is 8 + 8 + 8. Two shortcuts cover most of the table — multiplying by 10 and subtracting the number gives the nines (9 × 6 = 60 − 6 = 54), and doubling gives the fours from the twos.

    What is the difference between this and long multiplication?

    The size of the numbers. A single-digit product is one step and no carries; long multiplication is for numbers of ten and up, where the answer is built from partial products digit by digit.