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Is 5673 divisible 3 or 9?

Updated: 4/28/2022
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3 or 9

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Keiry VazquezEscalan...

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Q: Is 5673 divisible 3 or 9?
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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 → 5 + 6 + 7 + 3 = 21 → 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 → 5 + 6 + 7 + 3 = 21 → 2 + 1 = 3 which is not 9 so 5673 is not divisible by 9.


What is the converse of the sentence A number divisible by 9 is also divisible by 3?

If a number is not divisible by 3 then it is not divisible by 9.


What number is divisible by 9 but not divisible by 3?

It is impossible since 3 can already go into 9.


Is 32643 divisible by both 3 and 9?

To check for divisibility by 9 sum the digits of the number and if this sum is divisible by 9 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 9 so 32643 is divisible by 9. As 9 = 3 × 3, any number divisible by 9 is also divisible by 3, thus as 32643 is divisible by 9 it is also divisible by 3. However, for completeness: to check for divisibility by 3 sum the digits of the number and if this sum is divisible by 3 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 3 so 32643 is divisible by 3.


What is the relationship between numbers divisible by 9 and 3?

Any that are divisible by 9 are also divisible by 3.

Related questions

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 → 5 + 6 + 7 + 3 = 21 → 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 → 5 + 6 + 7 + 3 = 21 → 2 + 1 = 3 which is not 9 so 5673 is not divisible by 9.


Are all numbers divisible by 3 also by 9 give example?

All numbers divisible by 3 are NOT divisible by 9. As an example, 6, which is divisible by 3, is not divisible by 9. However, all numbers divisible by 9 are also divisible by 3 because 9 is divisible by 3.


Is 9 divisible by 3 or 9?

9 is divisible by both 3 and 9


What are the divisible of 3 and 9?

Three is divisible by 3 and 9.


What is the converse of the sentence A number divisible by 9 is also divisible by 3?

If a number is not divisible by 3 then it is not divisible by 9.


Is 1110 divisible by 9?

NO. 1110 is not divisible by 9. A number is divisible by 9 if the sum of its digits is divisible by 9. 1110 = 1 + 1 + 1 + 0 = 3 (3 is not divisible by 9, thus, 1110 is not divisible by 9.)


Are all numbers that are divisible by 9 also divisible by 3 are all numbers that are divisible by 3 also divisible by 9 how do you know?

All numbers divisible by 9 are divisible by 3; since 9 = 3 x 3 all multiples of 9 are also multiples of 3. However, all numbers divisible by 3 are not divisible by 9, eg 6 = 2 x 3 but 6 is not divisible by 9 (since 6 is not a multiple of 9) - it only takes one counter example to disprove a theory.


Is 615 divisible by 3 or 9?

it's divisible by 3 = 205. but 615 is not divisible by 9


Is every number divisible by 3 and 9 is also divisible by 6 is this true?

No, 9 is divisible by 3 and 9, but not six 3 x 9 = 27, also not divisible by 6


Is 32643 divisible by both 3 and 9?

To check for divisibility by 9 sum the digits of the number and if this sum is divisible by 9 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 9 so 32643 is divisible by 9. As 9 = 3 × 3, any number divisible by 9 is also divisible by 3, thus as 32643 is divisible by 9 it is also divisible by 3. However, for completeness: to check for divisibility by 3 sum the digits of the number and if this sum is divisible by 3 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 3 so 32643 is divisible by 3.


What number is divisible by 9 but not divisible by 3?

It is impossible since 3 can already go into 9.


Are all numbers that are divisible by 9 divisible by 3?

Yes; all numbers that are divisible by 9 are divisible by 3.