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How do you know a number is divisible by 4?

Updated: 4/28/2022
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Anakalia210

Lvl 1
8y ago

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If a number can be divisible by 2 twice( ei, 48 in half is 24 and 24 can be divided in half.

But you can check, without doing any dividing. If the last 2 digits (the tens and ones place digits) is divisible by 4, then the whole number is divisible by 4.

How to tell if the last two digits are divisible by 4: add the ones digit to twice the tens digit: if this sum is divisible by 4, then so is the original. This sum can be repeated until a single digit remains. IF this digit is 4 or 8, then the original number is divisible by 4.

So if you have a number 975239806723498658859303524, then the last two digits are 24, which is divisible by 4 and the entire number is divisible by 4 (4 + 2×2 = 8 which is 4 or 8, so 24 is divisible by 4).

Why this works: Suppose you have a whole number M. Rewrite the number as M = 100*P + Q, where P & Q are whole numbers. Note that Q represents the last two digits, and P is the rest of the number. Now divide this by 4: M/4 = (100*P + Q)/4 = 100*P/4 + Q/4 = 25*P + Q/4. So since P is a whole number, then 25*P is a whole number, and if Q/4 is a whole number, then [M/4 = 25*P + Q/4], which is the sum of two whole numbers is also a whole number, so M is divisible by 4.

Let M = 324, so P = 3, and Q = 24. 324 = 100*3 + 24, and 324/4 = 25*3 + 24/4 = 75 + 6 = 81. So 324 is divisible by 4.

A number which is divisible by 4 is a multiple of 4

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Q: How do you know a number is divisible by 4?
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Related questions

How do you know if a number is divisible by 4 explain why?

A number is divisible by 4 if the last two digits are divisible by 4, because every multiple of 100 is divisible by 4.


How do you know if a number is divisible by 4?

Get the last two digits of the number. If that number is divisible by 4 then that number is divisible by 4. Example : 2393844 The last two digits are 44 and since 44/4 = 11 or 44 is divisible by 4 then the number 2,393,844 is divisible by 4.


Why do you only need to look at the last two digits of a number to know if it is divisible by 4?

If a number is divisible by 4, the last two digits are divisible by 4. For example, the number 314 is not divisible by 4, but 316 is divisible by 4, because 16 is divisible by 4.


How do you know if a number is divisible by four?

Whole numbers are divisible by 4 if the number formed by the last two individual digits is evenly divisible by 4. For example, the number formed by the last two digits of the number 2628 is 28, which is evenly divisible by 4 so the number 2628 is evenly divisible by 4.


How do you know if a number can be divide by 4?

If its last two digits are divisible by 4.


How can you tell if a number is divisible by 4?

A number is divisible by 4 if the last two digits form a number that is divisible by 4, for example 612 is divisible by 4 (because 12 is divisible by 4).


How is 416 divisible by 4?

416 divided by 4 equals 104, a whole number. Since there is no remainder, we know that 416 is divisible by 4.


How do you tell at a glance that a number is divisible by 4?

A number is divisible by 4 if the last two digits form a number that is divisible by 4, e.g. 312 is divisible by 4 (because 12 is divisible by 4).


How do you find out if a number is divisible by 4?

If the last two digits of a number are divisible by 4, the whole number is divisible by 4.


How do you know when a number has 4 as a factor?

If the number can be divided by 4 exactly then 4 is a factor. No matter how long the number is, if the last two digits of the number are divisible by 4, then 4 is a factor of the number. Conversely, if the last two digits are not divisible by 4, then 4 is not a factor.


How do know a number is divisible by six?

It's very easy to test a number to see if it is divisible by 4 or by 9. If it passes both tests, then it is divisible by 4x9=36.To test for divisibility by 9, add the digits of the number. If the sum is divisible by 9, then the number is divisible by 9.To test for divisibility by 4, look at the last two digits. If they are a multiple of 4, then the number is divisible by 4.


Is 634 divisible 4?

No. If the last two digits of a number are divisible by 4, then the whole number is divisible by 4. So, 34 is not divisible by 4, therefore 634 is not divisible by 4.