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A number is a multiple of 312 if it's a multiple of 3, 8 and 13 at the same time

For example 1,248 is a multiple of 312 because 1 + 2 + 4 + 8 = 15, which means it's a multiple of 3, ends in 248, which means it's a multiple of 8, and 124 + 8 x 4 = 156, which means it's a multiple of 13

The rule works because 312 = 2^3 x 3 x 13

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12y ago

It isn't worthwhile to invent or memorize complicated divisibility rules for lots of numbers. Just carrying out the divisions is faster in most cases.

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Q: What are the divisibility rules to the number 312?
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Related questions

What are the divisibility rules to find at least four factors of the number 312?

A number is a multiple of 312 if it's a multiple of 3, 8 and 13 at the same time


What are the divisibility rules of all prime numbers?

The divisibility rules for a prime number is if it is ONLY divisible by 1, and itself.


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.


What number goes into all of the divisibility rules?

The number 0.


Is 312 divisible by 3?

Yes. 312 / 3 = 104Because, using your divisibility rules you know that the sum of the numbers (3+1+2) is 6 which is a multiple of 3. threfor you can say, that is does devide by three.


How many numbers can divided by that number?

divided by what number use your divisibility rules


What is divisibility rules for 15?

If a number is divisible by 3 and 5, it is divisible by 15.


How can knowing the divisibility rules help to determine if a number is prime or composite?

Knowing the divisibility rules will help you by being able to recognize if a number has factors (other than one and itself) which are covered by the rules. This will save actually having to start doing divisions.


Who invented the divisibility rules?

The divisibility rules were not invented by a single individual, but rather developed over time by mathematicians through observation and exploration of number patterns. The rules for divisibility by 2, 3, 5, and 10 can be traced back to ancient civilizations such as the Egyptians and Greeks. The more complex rules for divisibility by numbers like 7, 11, and 13 were further refined by mathematicians in the Middle Ages and beyond. These rules are now fundamental concepts in elementary number theory.


What are the divisibility rules of 18?

If the number is even and the sum of its digits is divisible by nine then the number is divisible by 18.


What are the divisibility rules for 9?

a number is divisible by 9 if the sum of the digits is divisible by 9.


What is a divisibility rule for 5?

If the rules for 2 and 3 work, the number is divisibale by 5.