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# How do you Test if a number is divisible by 3?

Updated: 9/17/2023

Wiki User

14y ago

To check if a number is divisible by another number, we divide.

When we divide, there cannot be a remainder.

For example, is 9 divisible by 3?

Yes, it is because 9 divided by 3 is 3 without a remainder.

No, because when we divide 4 by 3 there is a remainder of 1.

nycfunction@Yahoo.com

sum of the numbers in the given digits should be divisible by 3.then we can say that it is divisible by 3.example :22344 is divisible by 3.since2+2+3+4+4=15.so the given digit is divisible by 3

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14y ago

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Q: How do you Test if a number is divisible by 3?
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### How do you test if a number is divisible by 6?

If it is divisible by 2 and 3

### What is the test of divisibility for 6?

A number is divisible by 6 if the number is divisible by 2 AND 3.

### Is it true that all numbers are divisible by 3?

All numbers are not divisible by 3. In order to test if a number is a prime, you first test to see if it ends in a 2, 4, 6, 8, or 0. In that case it is divisible by 2 and not a prime. The next number you use for your test is 3. More odd numbers are divisible by 3 than by any other odd number but it is only the second number used for the test. You continue testing until you reach the square root of the number. If the number is only divisible by itself and one, it is prime. 3 is only the second test number in the division test for primes.

### Is 5890 divisible by 2 3 6 9 5 10?

Test of divisibility by 2:If a number is even then the number can be evenly divided by 2.5890 is an even number so, it is divisible by 2.Test of divisibility by 3:A number is divisible by 3 if the sum of digits of the number is a multiple of 3.Sum of digits = 5+8+9+0 = 22, which is not a multiple of 3.So, 5890 is not divisible by 3.Test of divisibility by 6:In order to check if a number is divisible by 6, we have to check if it is divisible by both 2 and 3 because 6 = 2x3.As we have seen above that 5890 is not divisible by 3 so, 5890 fails to pass the divisibility test by 6.Test of divisibility by 9:If the sum of digits of a number is divisible by 9 then the number is divisible by 9.Sum of digits = 5+8+9+0 = 22, which is not a multiple of 9.So, 5890 is not divisible by 9.Test of divisibility by 5:If the last digit of a number is 0 or 5, then it is divisible by 5.It is clear that 5890 is divisible by 5.Test of divisibility by 10:If the last digit of a number is 0, then the number is divisible by 10.It is clear that 5890 is divisible by 10 as the last digit is 0.

### Is 532 divisible by 3?

No. A good test is to add up the digits of the number (5+3+2) and if that's divisible by three, then the original number is divisible by three.

### Divisibility of 7623?

7623 is divisible by 3.Test of divisibility by 3:Sum of digits of 7623 = 7+6+2+3 = 18, which is a multiple of 3, so the number is divisible by 3.If sum of the digits of a number is a multiple of 9 then it is divisible by 9.So, 7623 is also divisible by 9.Therefore, test of divisibility can help a lot in determining whether a number is divisible by any other number.

### Is 4603 divisible by 3?

No.You can test the divisibility of a number by three, in the following manner.If the sum of the digits is divisible by three then the original number is also.example,Is 21 divisible by three, (yes the answer is 7)by summing the numbers 2+1 we get three which is of course divisible by itself.another; (harder)Is 1335 divisible by 3?Lets do the test.... 1+3+3+5=12 , and since 12 is divisible by three so is the original number 1335. (The answer is 445)Also this test can be continued; in the 12 above , 1+2=3 , which is divisible by 3 , and so on.So the original 4603 number,4+6+0+3=13 , which is not divisible by 3 , so 4603 is not divisible by 3 either.(also 4603 is a prime number; a number divisible by only 1 and itself)

### What is the test for divisibility by 3?

If the digits of the number add up to a multiple of 3, the whole number is divisible by 3.

### How can you test for the divisibility by 6?

If the number is also divisible by 2 and 3

### Is 5673 divisible by 3 or 9?

It is divisible by 3 but not divisible by 9. To test for divisibility by 3, sum the digits and if the sum is divisible by 3 then so is the original number; the test can be repeated ion the sum, so keep summing until a single digit remains and if this single digit is 3, 6 or 9, then the original number is divisible by 3: 5673 &rarr; 5 + 6 + 7 + 3 = 21 &rarr; 2 + 1 = 3 which is one of {3, 6, 9} so 5673 is divisible by 3. To test for divisibility by 9, sum the digits and if the sum is divisible by 9 then so is the original number; the test can be repeated ion the sum, so keep summing until a single digit remains(this single digit is known as the digital root of the number) and if this single digit is 9, then the original number is divisible by 9: 5673 &rarr; 5 + 6 + 7 + 3 = 21 &rarr; 2 + 1 = 3 which is not 9 so 5673 is not divisible by 9.

### 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.

### What is the divisiblity test of three?

If the sum of the digits is a multiple of 3, yhen the number is divisible by 3.