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Welcome to our Math lesson on Divisibility by 13, this is the thirteenth lesson of our suite of math lessons covering the topic of Divisibility Rules, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Rule: "A number is divisible by 13 if, after grouping the digits in groups of three starting from the rightmost place value and applying the subtraction and addition of the numbers obtained by these groups alternatively from right to left, we obtain a number divisible by 13, including 0."
For example, the number 89,063 is divisible by 13 as when we group the digits as 063 and 89, we obtain after subtracting them: 063 - 89 = -26, a number that is divisible by 13.
Another example: 20,522,424 is divisible by 13 as 424 - 522 + 20 = -78, a number divisible by 13 because -78 ÷ 13 = -6.
On the other hand, 2,328,475 is not divisible by 13 as 475 - 328 + 2 = 149, a number that is not divisible by 13.
The calculator gives 89,063 ÷ 13 = 6851; 20,522,424 ÷ 13 = 1,578,648; and 2,328,475 ÷ 13 = 179,113.4615..., results that confirm our solutions.
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