Mastering theTable

Try to make it second nature to you to mentally find products for common factors such as 4 and 3, 7 and 6, 9 and 10, and others. This would greatly aid you in solving multiplication problems involving larger numbers.

You can see several wonderful patterns in this table.

• 1 obviously retains the value of the number being multiplied to it
• Any number multiplied to 2 gives an even number as its product
• When you add the digits of products with 3 as one of their factors, the sum would be divisible by 3. Divisible, meaning you can divide the said sum by 3 and not get any remainder from the division process
• Any number multiplied to 4 also gives an even number as its product
• Any number multiplied to 5 gives a product with its ones digit ending in 0 if it is multiplied to an even number, or 5 if multiplied to an odd number
• The multiples of 6 are even numbers and the sum of their digits are divisible by 3
• Numbers multiplied to 10 will always have products ending in zero.
• Numbers in red are perfect squares
• Numbers appearing twice like 4, 9, 6 and others are composite numbers, meaning they have more than 2 factors. Fore example, factors of 4 are 1, 4, and 2. However, those appearing once does not already mean that they are already prime numbers.
• There are other patterns you'd want to share, you may post them in the comment section below.