1) If a number has 2 and 6 as factors, then it has 12 as a factor

2) if a number has 12 as a factor, then both 2 and 6 are factors.

The first statement is false. The second statement is true. Explain why, using words

Got this problem too it’s 54

54

To understand why the first statement is false and the second statement is true, we need to consider the concept of factors. Factors are numbers that can be multiplied together to obtain a given number.

1) If a number has 2 and 6 as factors, then it has 12 as a factor:
To prove or disprove this statement, we can use a counterexample. A counterexample is a specific example that contradicts a statement. Let's consider the number 24. Both 2 and 6 are factors of 24 since 2 * 12 = 24 and 6 * 4 = 24. However, 24 is not divisible by 12. Therefore, this statement is false.

2) If a number has 12 as a factor, then both 2 and 6 are factors:
To prove this statement, we need to show that if a number is divisible by 12, it must also be divisible by both 2 and 6. Let's take the number 36 as an example. 36 is divisible by 12 because 12 * 3 = 36. Additionally, 36 is also divisible by 2 because it is an even number, and 36 can be divided by 6 because 6 * 6 = 36. Thus, if a number has 12 as a factor, it must also have both 2 and 6 as factors. Consequently, this statement is true.

1) right, like 18 does not work

2) n = 12 * x*y*z*....
so
n = 2 * 6 * x*y*z*....

24

So like 12

I got it to so HARD.