Math and Arithmetic

# How do you know if a number is divisible by 2 and 3?

If a number is even, it's divisible by two.

If the digits of a number add up to a multiple of 3, it's a multiple of 3.

For example, 342 is divisible by 3 because 3 + 4 + 2 = 9 and 9 is divisible by 3.

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## Related Questions

the number will also be divisible by 3 and 2

Numbers are divisible by 6 if they are divisible by both 2 and 3.All even numbers are divisible by 2. Odd numbers are not.To see if a number is divisible by 3, add the individual digits of the number to each other and see if that number is divisible by 3. If it is, then the original number is also divisible by 3.Example: 2712, add 2+7+1+2=12 Is 12 divisible by 3? Yes. Therefore, 2712 is divisible by 3.The number 2712 is also divisible by 2, since it is an even number.Now you know that 2712 is divisible by 6.

The Answer :)If the number is divisible by 2andIf the number is divisible by 3To find out if the number is divisible by 2 you look at the last digit of the number and see if it's an even number...ex: 420 you look at the 0 and 0 is a even number so 420 is divisible by 2.To find out if a number is divisible by 3 you add all the digits together and then see if the sum is divisible by 3...ex: 420 you add 4+2+0= 6 . and 6 is divisible by 3 so the number 420 is divisible by 3.yeah!

Quickly check to see whether it's divisible by both 2 and 3. Here's how to do that easily: -- The number is divisible by 2 if it's an even number . . . the last digit is 2, 4, 6, 8, or 0. -- The number is divisible by 3 if the sum of its digits is divisible by 3.

To determine if a number is divisible by 6, it must be divisible by both 2 and 3. To determine if a number is divisible by 2, it should be even - in other words, it should end with 0, 2, 4, 6, or 8. To determine if a number is divisible by 3, the sum of its digits should be divisible by 3. 54,132 is an even number, so it is divisible by 2. 5 + 4 + 1 + 3 + 2 = 15, which is divisible by 3, so 54,132 is divisible by 3. Since 54,132 is divisible by both 2 and 3, it is divisible by 6.

if one of its factors are a 3 or after dividing a number by 3, their are no remainders There is also another trick: add all of the digits of the number together. The original number is divisible by 3 if and only if the sum of the digits is divisible by 3. For example: 321 is divisible by 3 because 3+2+1=6 and 6 is divisible by 3. 322 is not divisible by 3 because 3+2+2=7 and 7 is not divisible by 3.

If the sum of the digits can be divided by 3. 93 is divisible by 3 because 9+3=12 we know 12 is divisible by 3 because 1+2=3 so the number is divisible by 3.

Since 5232 is divisible by both 2 and 3, it is divisible by 6.A number must be divisible by both 2 and 3 to be divisible by 6.The number 5232 is even, so it is divisible by 2.If you add the individual digits in the number (5+2+3+2=12) you get a number that is divisible by 3, meaning the original number (5232) is also divisible by 3.

The way to know if a number is divisible by 3 is if its digit sum adds up to a number that is divisible by 3 (3, 6 or 9). The way to know if a number is divisible by 2 is if that number is even. That is, a number is divisible by two if the units are 0, 2, 4, 6 or 8. A number is divisible by 6 if it meets both these rules. In this case, 402 has the digit sum 6, and the units value is 2. Therefore, we can say that 402 is divisible by 6.

Answer - How do you tell if a number is divisible by 3?you add all the digits in the number and see if that number can be divided by 3 Answer - A whole number is divisible by 3 if the sum of its digits is divisible by what?Three (3) Examples:* 27 -- 2+7=9 * 13452 -- 1+3+4+5+2=15 -- 1+5=6If the sum of the digits is divisible by 3, the number is also divisible by 3. Or just do the division.

add all the digits of the number and check if it is divisible by 3. eg-3321=3+3+2+1=9=divisible by three.the same works for 9.

It is 2 because any even number is always divisible by 2 with no remainder.

102 is divisible by 2,3 and 6 A number is divisible by 2 if the number has even number on its unit place. A number is divisible by 3 if the sum of all the digits of the number is divisible by 3. For example= In number 102 1+0+2=3 and yes it is divisible by 3 A number is divisible by 6 if it is divisible by both 2 and 3 These laws of divisibility are applicable everywhere.

Any number that is divisible by both 2 and 3 is divisible by 6.

To be divisible by 6, the number must be divisible by both 2 and 3:To be divisible by 2 the last digit must be even, ie one of {0, 2, 4, 6, 8};To be divisible by 3, sum the digits of the number and if this sum is divisible by 3, then the original number is divisible by 3.As the test can be repeated on the sum, repeat the summing until a single digit remains; only if this number is one of {3, 6, 9} is the original number divisible by 3.If the number is not divisible by 2 or 3 (or both) then the number is not divisible by 6.examples:126Last digit is even so it is divisible by 2 1 + 2 + 6 = 9 which is divisible by 3, so it is divisible by 3&acirc;&dagger;&rsquo; 126 is divisible by both 2 and 3, so it is divisible by 6124Last digit is even so it is divisible by 2 1 + 2 + 4 = 7 which is not divisible by 3, so it is not divisible by 3&acirc;&dagger;&rsquo; 126 is divisible by 2 but not divisible by 3, so it is not divisible by 6123Last digit is not even so it is not divisible by 2 We can stop at this point as regardless of whether it is divisible by 3 or not, it will not be divisible by 6. However, for completeness:1 + 2 + 3 = 6 which is divisible by 3, so it is divisible by 3&acirc;&dagger;&rsquo; 123 is divisible by 3 but not divisible by 2, so it is not divisible by 6121Last digit is not even so it is not divisible by 2 We can stop at this point as regardless of whether it is divisible by 3 or not, it will not be divisible by 6. However, for completeness:1 + 2 + 1 = 4 which is not divisible by 3, so it is not divisible by 3&acirc;&dagger;&rsquo; 121 is not divisible by either 2 or 3, so it is not divisible by 6

Using the tests for divisibility:Divisible by 3:Add the digits and if the sum is divisible by 3, so is the original number: 2 + 3 + 4 = 9 which is divisible by 3, so 234 is divisible by 3Divisible by 6:Number is divisible by 2 and 3: Divisible by 2:If the number is even (last digit divisible by 2), then the whole number is divisible by 2. 234 is even so 234 is divisible by 2.Divisible by 3:Already shown above to be divisible by 3. 234 is divisible by both 2 & 3 so 234 is divisible by 6Divisible by 9:Add the digits and if the sum is divisible by 9, so is the original number: 2 + 3 + 4 = 9 which is divisible by 9, so 234 is divisible by 9Thus 234 is divisible by all 3, 6 & 9.

no, it comes out to a decimal number so that means it is not divisibleTo check if a number is divisible by 6 it must be divisible by both 2 and 3.To check if a number is divisible by 2, if the last digit is even (ie one of 0, 2, 4, 6, 8) it is divisible by 2. Last digit is 0, so it is divisible by 2.To check if a number is divisible by 3, add all the digits together and if the sum is divisible by 3 so is the original number. This can be repeated on the sum until a single digit remains in which case if it is 3, 6 or 9 then the original number is divisible by 3.7960 &rarr; 7 + 9 + 6 + 0 = 22 (not divisible by 3 - know, or:)22 &rarr; 2 + 2 = 4 (not 3, 6, 9 so not divisible by 3)So 7960 is not divisible by 3, so 7960 is not divisible by 6.

A number is divisible by 2 if that number is an even number, which means it ends in 0, 2, 4, 6, or 8. A number is divisible by 3 if the sum of its digits is evenly divisible by 3.

2 and 3Today, people don't explain why a number has to be divisible by 2 and 3 to be divisible by 6 or how it works.

For starters, the number 3 is divisible by 3 but not by 2. Next, 9, 27 etc. All the odd multiples of 3 are divisible by 3 but not 2. So there is an infinite number of numbers that are divisible by 3 and not 2.

The sum of its digits is 1+2+0 = 3 which is divisible by 3. So 120 is divisible by 3. The number 120 ends in a 0 and so it is divisible by 5.

If a number is even (divisible by 2) and divisible by 3, then it must also be divisible by 6.

3411 is an odd number and is not divisible by 2. but, it is divisible by 3. 3411/3 = 1137

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