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Because each of the numbers is a multiple of 3, so their product will be a multiple of 3 x 3 = 9.

Algebraically:

let the two numbers from the 3 times table be 3m and 3n for some m and n.

Their product is 3m x 3n = (3 x 3)mn = 9mn, a multiple of 9.

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Q: Why is the product of 2 numbers in 3 times table always a multiple of 9?
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Is 0 a multiple of any number?

It depends for example: 0, 3, 6 This times table starts with 0. 3, 6, 9 This one does to it is just not included in the times table. So yes 0 is a multiple of all numbers.


Why are some multiplication tables easier?

Because certain times tables always end in particular numbers. The numbers in the 10 times tables always end with a 0 e.g 10, 20, 30... The number in the 5 times tables always end with a 0 or 5 e.g. 5, 10, 15... The 2, 4, 6, 8 times tables will always end in even numbers. The 1 times table is obvious. The 9 times table always has digits that sum to 9 e.g. 9, 18, 27... The hardest times table is usually considered to be the 7 times table to learn as their is no obvious pattern to the numbers.


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Related questions

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What are the common multiples in the 6 times tables?

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