Divisibility निकालने की सबसे शानदार Trick | Vedic Maths Division Tricks

Vedic Mathematics is a collection of Techniques/Sutras to solve mathematical arithmetics in easy and faster way. It consists of 16 Sutras (Formulae) and 13 sub-sutras (Sub Formulae) which can be used for problems involved in arithmetic, algebra, geometry, calculus, conics.
Vedic Mathematics is a system of mathematics which was discovered by Indian mathematician Jagadguru Shri Bharathi Krishna Tirthaji in the period between A.D. 1911 and 1918 and published his findings in a Vedic Mathematics Book by Tirthaji Maharaj
Veda is a Sanskrit word which means ‘Knowledge’.

Divisibility Rules
Divisibility rules in math are a set of specific rules that apply to a number to check whether the given number is divisible by a particular number or not. Some known divisibility tests are for numbers 2 to 20. It helps us to find the factors and multiples of numbers without performing long division. A person can mentally check whether a number is divisible by another number or not by applying divisibility rules. Let us learn more about divisibility tests in this article.

In a 1962 Scientific American article, the popular mathematics and science writer, Martin Gardner, discussed divisibility rules for 2–12, where he explains that the rules were widely known during the renaissance and used to reduce fractions with large numbers down to the lowest terms. Since every number is not completely divisible by every other number, they may leave a remainder other than zero. There are certain rules which help us determine the actual divisor of a number just by considering the digits of that number. These are called divisibility rules.

Divisibility Rules From 2 to 12
In this section, we will learn about basic divisibility tests from 2 to 12. The divisibility rule of 1 is not required since every number is divisible by 1. Here are a few basic divisibility rules:

Divisibility by number Divisibility Rule
Divisible by 2 A number that is even or a number whose last digit is an even number i.e. 0, 2, 4, 6, and 8.
Divisible by 3 The sum of all the digits of the number should be divisible by 3.
Divisible by 4 Number formed by the last two digits of the number should be divisible by 4 or should be 00.
Divisible by 5 Numbers having 0 or 5 as their ones place digit.
Divisible by 6 A number that is divisible by both 2 and 3.
Divisible by 7 Subtracting twice the last digit of the number from the remaining digits gives a multiple of 7.
Divisible by 8 Number formed by the last three digits of the number should be divisible by 8 or should be 000.
Divisible by 9 The sum of all the digits of the number should be divisible by 9.
Divisible by 10 Any number whose one's place digit is 0.
Divisible by 11 The difference of the sums of the alternative digits of a number is divisible by 11.
Divisible by 12 A number that is divisible by both 3 and 4.
Divisibility Rules Chart and Examples
Let's try to understand the above divisibility tests with examples.

Is 280 divisible by 2? Yes, 280 is divisible by 2 as the unit's place digit is 0.
Is 345 divisible by 3? Yes, 345 is divisible by 3, as the sum of all the digits i.e. 3 + 4 + 5 = 12, and 12 is divisible by 3. So, 345 is divisible by 3.
Is 450 divisible by 4? No, 450 is not divisible by 4 as the number formed by the last two digits starting from the right, i.e 50 is not divisible by 4.
Is 3900 divisible by 5? Yes, 3900 is divisible by 5 as the digit at the unit's place is 0 which satisfies the divisibility rule of 5.
Is 350 divisible by 6? The sum of all the digits of 350 is 8, so it is not divisible by 3. Hence it cannot be divisible by 6, as a number needs to be a common multiple of both 2 and 3 to be a multiple of 6.
357 is divisible by 7 as when we subtract the twice of the ones place digit, 7 × 2 = 14, and subtract it from the remaining digits 35, we get 35 -14 = 21, which is divisible by 7. So, 357 is divisible by 7.
79238 is not divisible by 8, as the number formed by the last three digits 238 is not completely divisible by 8.
875 is not divisible by 9, as the sum of all the digits, 8 + 7 + 5 = 20 is not divisible by 9.
Now, let us take the number 1000 and see its divisibility by 2 to 10. It is clearly seen in the image that 1000 is divisible by 2, 4, 5, 8, and 10, and not divisible by 3, 6, 7, and 9. We find this by applying the divisibility rules of 2 to 10, and not by performing division which can be more time-consuming

Keywords: vedic maths division tricks | Vedic mathematics | division tricks | maths tricks | vedic maths tricks for fast calculation | abacus maths tricks | divisibility rules | division by 7 | division by 11 | vedic sutras

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Voice Over: Dheemraj

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Artist: Jesse Gallagher

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