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Yes.
If we we're to find the factors of 6, it will be 1,2,3 and 6.
The factors of 12 are 1,2,3,4,6 and 12.
Since 1,2,3 and 6 are common factors of 12, we can prove that if 6 is a multiple of a number, 12 can be a multiple of the number as well.

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It is true that if 2 and 3 are factors of  a number, then 6 is also a factor of a number.
For example:
2x3x n = m
6x n = m
Using this example, we can prove that if 2 and 3 are factors of a numbet, 6 can also be a factor too.

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2. Yes since 6 is a multiple of 1,2,3,6 all of which have 12 as it's multiple

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True,
The prime factors of 6 are 1,2 and 3
The prime factors of 12 are also 1,2 and 3.
Since 6 and 12 share the same prime factors, if 6 is a multiple of a number, then 12 is also a multiple of that number

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True,

2×3×x=y
=6×x

So, since 2×3 can be simplified to make 6 the question is true

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Yes 6 is a factor of 12

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Q2: False. 6 x 7 is 42 but 42 cannot be divided by 12

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It is false because 12 is a factor of every even number that 6 is multiplied by but if it is an odd number that 6 is multiplied by, 12 will not be a factor

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It is true.
If 6 is a multiple of a number which means that
that number × another number = 6
,so the number must be less then 6 which the number can either be 1,2 or 3 only.
12 is 2 times of 6 and 12 can be divided by 1,2 and 3.

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Because for example ,  18 and 30 is a multiple of 6, but it is not divisible by 12

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False as 18 is not a multiple of 12 but a multiple of 6

6 is also not a multiple of of 12

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It is false because for example 6x5=30 but no whole no. multiplied by 12 gives u 30

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No, as 3*6=18 and 18 cannot be divided by 12

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Yes, as all common multiples of 2 & 3 can be divisible by 6
For example: (6,12,18,24...60) } all of these numbers can be divisible by 6 and can be divided by 2 & 3

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Yes it is true
6 x 6 =36
12 x 3 = 36

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Question 1

YES because factors of 2 and 3 are always divisible by 6 ,because 2x3 is 6

For example

I take a random number that has the factors 2 and 3
5994
5994 is divisible by 6
5994/6equals 999

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No, as number such as 18 is not a multiple of 12 but is a multiple of 6

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True.
6 is a multiple of 12 so any number that can be divided by 12 can also be divided by 6.
E.g: 12 x 3 = 36, 36 ÷ 6 = 3

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False, 30 is 6 x 5 and 12 cannot be multiplied into thirty unless multiplied by a number with a decimal

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Yes it’s is true
E.g. 6 is a factor of 12
6 x 2 =12
Since 6 =2 x 3,
(2 x 3) x 2 = 12

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2. It true as any multiple of 6 can be divided by 2 and 3. For example 18 can be divided by 2,3 and 6

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Q1: True. 12 factor is 1,2,3,4,6,12
So it is true

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It is true.
2 and 3 is a prime factor of 6, so if 6 is a factor of the number the prime factor of that number would be 2 and 3.
Eg.
12= 6×2
= (2×3) ×2

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Factors of 6: 1, 2, 3 and 6 are also factors of 12

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No. There can be numbers that are multiples of 6 but not 12, because 6 is smaller than 12. For example, 18=6÷3,18≠12X(y)

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Using prime factorisation if 2and 3 are factors 2 X 3 = 6 which is a always a factor of numbers with factors with 2 and 3. Using a random number, 18 the factors are 2 and 3 also 6

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Using prime factorisation if 2and 3 are factors 2 X 3 = 6 which is a always a factor of numbers with factors with 2 and 3. Using a random number, 18 the factors are 2 and 3 also 6

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12 is a multiple of 6.

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Yes, 12 is twice of the number 6 so any number that is a multiple of 12, the number of groups of twelves needed is just twice the number of sixes needed

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Yes as 2 and 3 is a factor of 6
6x2=12 factors of twelve is 1,2,3,4,6 and 12
Another way of show is (2x3)x2=12

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Yes, as every number that are factors of 6 such as 24 are also a factor of 2 and 3 (6×4=24 2×12=24 3×8=24)

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Eg. 6 is a multiple of 18 but 12 is not a multiple of 18
Edit: Yes
Eg. 6 is a multiple of 3 and 12 is also a multiple of 3 as 6 is a factor of 12

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It is True because for example 2 and 3 is a factor of 12 because 3x4=12 and 2x6=12 so 6 is a factor

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True.
Every common multiple of 2 and 3 can be divided by 6, as 2 x 3 = 6, which is 6 x 1 = 6 and then:                                           6 x 2 = 12
6 x 3 = 18 and so on.
(Continued)= so any number times 6 will definitely can be divided by 2 or 3

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Yes, 6 is a factor of 12
For example, 3, 6, 9, 12

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2*3=6

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True, 72 is 6 x 12, 72 is 3 x 24, 72 is 2 x 36

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E.g. 6 is a multiple of 3, and so is 12
6=3×2
12=3×2×2

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1. 2 and 3 are factors of 6 and so no matter what the number can be divided by 2 and 3.

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Eg.2 and 3 are factors of 12 so 6 is also a factor of 2 as 2 x 3 = 6

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Yes, because the LCM of 2 and 3 is 6 so if any number is above 6 and is a multiple of 2 and 3 it will also be a multiple of 6 example: if (anynumberhere) can divide by 2 and also 3 because 6 is the LCM of both,it can also be (samenumberhere) divided by 6

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All factors of 6 are factors of 12.

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The lcm of 2 and 3 are of 6
And 6 is a factor of 6

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Q1. Yes, because 6 is divisible by 2 and 3, and any factors of 6 that add up to that number are able to be divisible by that multiple of 6.

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Yes. 2x3=6. The Lowest common multiple of 2 and 3 is 6 and thus, 6 is also a factor

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6x3=18
18 is not a multiple of 12

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Yes, 2x3 is 6
And any number that 3 times that are divisible by 2, is always divisible by 6

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2 is a factor for 12
12 can be divided by 2=6
Just like 6

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Q2: 12 is a muitiple of 6 so if the number is 2 12 is also its muitiple

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All even multiples of 3 are multiples of 6.

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2. Yes

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The smallest factor of 6 and 12 is (other than 1) 2. Multiples of 2 is 2 4 6 8 10 12 14 16 18... So 6 and 12 is the multiple of of same number.

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E.g. 12
2,3 and 6 are factors of 12

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18,24
18 divided by 2 =9
18 divided by 3 =6
18 divided by 6 =3
Thus 2,3 and 6 are factors of the same number this it is true. It is true

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Q1: the first common muitiple of 3 and 2 is 6

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2x3=6

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1.yes

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Factors of 6 is 1x6 2x3 so 1,2,3,6 are the factors of 6 since they can be multiplied by another number to get 6 which is 1.

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Is it true that...
If 6 is a a factor of a number, then 2 and 3 are also factors of that number?

Answer:
It is TRUE because...
e.g. 6 is a factor of the number 30
6 x 5 gives 30
Since 6 = 2 x 3, we can write
(2 x 3) x 5 = 30, which means 2 and 3 are factors of 30, too

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If 6 is a multiple of a number, then 12 is also multiple of that number?

If it is TRUE: Illustrate why it is true (you may give some examples)

If it is FALSE: Give a counter-example

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If 2 and 3 are factors of a number, then 6 is also a factor of that number?

If it is TRUE: Illustrate why it is true (you may give some examples)

If it is FALSE: Give a counter-example

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1. Answer each question in a new post, indicate "Question number" in the title
2. Post your answer to each question in a new post