Question

We know

\[2 \times 6 = 12\].
So, which of the following statements are also true?
Choose 2 answers:
Choose 2 answers:
(Choice A)
\[12\] is a multiple of
\[2\].
A
\[12\] is a multiple of
\[2\].
(Choice B)
\[12\] is a multiple of
\[6\].
B
\[12\] is a multiple of
\[6\].
(Choice C, Checked)
\[6\] is a factor of
\[2\].
C
\[6\] is a factor of
\[2\].

Answer 1

Out of the given statements, '12 is a multiple of 2' and '12 is a multiple of 6' are true because multiples result from multiplication of an integer by any other integer. '6 is a factor of 2' is false as a factor is a number that exactly divides another number and 2 cannot be exactly divided by 6. therefore, option A and B are correct

Step-by-step explanation:

The question pertains to understanding multiples and factors in mathematics. When we say 2 times 6 equals 12, we can draw conclusions about the relationship between these numbers.

• A. 12 is a multiple of 2: This statement is true because a multiple is a product of a number and any integer. Since 2 times 6 equals 12, 12 can be divided exactly by 2, making it a multiple of 2.
• B. 12 is a multiple of 6: Similar to the statement above, this is also true. The product of 6 and 2 is 12, which means 12 can be divided exactly by 6, making it a multiple of 6.
• C. 6 is a factor of 2: This statement is false because a factor is a number that divides another number without leaving a remainder. In this case, 6 cannot divide 2 without a remainder, therefore 6 is not a factor of 2.

So, the correct answers are A and B, where 12 is a multiple of both 2 and 6.