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Why are all the factors of 6 even numbers?
They are not. The factors of 6 are 1, 2, 3, 6. Two odd, two even. Maybe you mean multiples of 6? These are all even because 6 = 2x3 and any multiple of 6 is a multiple of 2 so will be even.
Which numbers are multiples of 6?
There are an infinite number of multiples of 6 (numbers that six can divide into evenly with no remainder). Without using a calculator, you can determine if a number is a multiple of 6. To be a multiple of 6, it must have both 3 and 2 as factors. So if the number is even, then 2 is a factor. To determine if it is even, look at the ones digit, and if it is (0,2,4,6, or 8) then it's even. Then to determine if 3 is a factor, add the digits in the number, if this sum is a multiple of 3, then the number is also a multiple of 3 (or you could say 3 is a factor). If both of these are true, then the number is a multiple of 6. Example: 984: Last digit (ones digit) is 4, so it's even. Sum 9+8+4=21, which is a multiple of 3, so the number is a multiple of 3. Therefore it is a multiple of 6.
When is a number multiple of 6?
I think the simplest answer is any number divisible both by 2 and 3 (2x3=6), which is easy enough to figure out separately. All even numbers are divisible by 2, and all numbers divisible by 3 have their individual digits add up to a multiple of 3 (e.g. for 231, 2 + 3 + 1 = 6, and 6 is a multiple of 3, therefore 231 is also a multiple of 3). In short, multiples of 6 are even numbers whose digits add up to a multiple of 3.
Is 9283 a multiple of 6?
No. To be a multiple of 6, it must pass both the tests for being a multiple of 2 and 3. To be a multiple of 2, the number must be even; 9283 is odd, so is not a multiple of 2 and so it not a multiple of 6.
Is 356 a multiple of 6?
To be a multiple of 6 a number must be even and a multiple of 3.356 is not a multiple of three. The short cut to that is if the digits add up to a multiple of three then the original number is a multiple of 3.
Which number is a multiple of 3 and 6?
Any multiple of 6 is a multiple of 3 and 6.
What is the divisibility trick for 6?
Is the number even and do its digits total a multiple of 3?
Can a multiple of 6 have a ones digit equal to 3?
No, a multiple of 6 cannot have a ones digit equal to 3. The ones digit of a multiple of 6 will always be even, either 0, 2, 4, 6, or 8, because 6 is divisible by 2.
Why is multiple of 6 is also a multiple of 3?
because 6 is a multiple of 3
Can 6 go into 340?
Not evenly. Easy way to check if a number is divisible by 6: it must be even and the digits must add up to a multiple of 3. 340: even? Yes. 3+4+0=7 -> not a multiple of 3 so 340 is not divisible by 6.
How are the divisibility rules for 3 6 and 9 alike?
A number is divisible by 3 if the sum of its digits is a multiple of 3. A number is divisible by 6 if the sum of its digits is a multiple of 3 and it's even. A number is divisible by 9 if the sum of its digits is a multiple of 9.
What number is divisible by 6 but not 3?
A number that is divisible by 6 but not by 3 must be a multiple of 6 that is not a multiple of 3. Since 6 is a multiple of 3 (6 = 2 * 3), any multiple of 6 will also be a multiple of 3. Therefore, there is no number that is divisible by 6 but not by 3.
