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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.
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.
What is the divisibility trick for 6?
Is the number even and do its digits total 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.
Why is multiple of 6 is also a multiple of 3?
because 6 is a multiple of 3
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 are the three consecutive even inters that ad up to 176?
There are no three consecutive even integers that add up to 176.Let the three consecutive even integers be (2n-2), 2n & (2n+2). Then their sum is:(2n-2) + 2n + (2n+2) = 6n⇒ the total must be a multiple of 6.To be a multiple of 6 the number must be an even multiple of 3; for 176:It is even;1 + 7 + 6 = 14; 1 + 4 = 5 which has a remainder of 2 when divided by 3, so 176 is not a multiple of 3.Thus 176 is not a multiple of 6 and so cannot be the sum of three consecutive even integers.
