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The digital root (sum of digit) must be divisible by 9,

and

the number formed by the last 4 digits must be divisible by 16.

The second requirement ensures that the number is divisible by 16.

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What is divisibility of 144?

144 is divisible by: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.


What are the divisibility rules of all prime numbers?

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What are the 2-10 divisibility rules?

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What are reasons of using the disivility rules?

You can always check on the divisibility of a number by dividing it into another number. But if you know the divisibility rules, you can get that information easier and faster.


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The least 4 factors of 144 are 1, 2, 3, and 4 .


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What numbers 2 3 5 9 divides into 123456789 evenly using divisibility rules?

3 and 9. And they divide into 123456789 whether or not you use divisibility rules!


Who invented divisibility rules?

Divisibility rules have been developed and refined by mathematicians over the centuries. It is difficult to attribute the invention of divisibility rules to a specific individual. However, some early rules can be traced back to ancient civilizations like the Egyptians, Babylonians, and Greeks. These rules were further expanded upon and formalized by various mathematicians throughout history.


Why is it important to know the math divisibility rules?

Probably because it saves you time. These are the rules from 1 to 50 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 (an even digit) 3: The sum of the digits is a multiple of 3 4: The number ends in 00, 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92 or 96 5: The number ends in 0 or 5 6: The number is a multiple of both 2 and 3 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The 100s digit is even and the last 2 digits are 00, 08, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 or 96, or the 100s digit is odd and the last 2 digits are 04, 12, 20, 28, 36, 44, 52, 60, 68, 76, 84 or 92 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of both 3 and 4 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of both 2 and 7 15: The number is a multiple of both 3 and 5 16: The 1000s digit is even and the last 3 digits are a multiple of 16 or the 1000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of both 2 and 9 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The difference between twice the last digit and the rest of the number is a multiple of 21 22: The number is a multiple of both 2 and 11 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of both 3 and 8 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of both 2 and 13 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of both 4 and 7 29: The sum of 3 times the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of both 3 and 10 31: The difference between 3 times the last digit and the rest of the number is a multiple of 31 32: The 10000s digit is even and the last 4 digits are a multiple of 32 or the 10000s digit is odd and the last 4 digits are 16 times an odd number 33: The sum of 10 times the last digit and the rest of the number is a multiple of 33 34: The number is a multiple of both 2 and 17 35: The number is a multiple of both 5 and 7 36: The number is a multiple of both 4 and 9 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of both 2 and 19 39: The sum of 4 times the last digit and the rest of the number is a multiple of 39 40: The number ends in 000, 040, 080, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920 or 960 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of both 2 and 21 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of both 4 and 11 45: The number is a multiple of both 5 and 9 46: The number is a multiple of both 2 and 23 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of both 3 and 16 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50


What number goes into all of the divisibility rules?

The number 0.


Is 963 divisible by 3 according to the rules of divisibility?

Yes.