Because 2 is a factor of 4. If a number is a multiple of four, when you add that it is a multiple of 2 there is no extra information, no additional factor.
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No, but vice versa holds true. Case and point: 6 is a multiple of 2, but not a multiple of 4. 8 is a multiple of 4, and is a multiple of 2. Because a factor of 4 is 2, every multiple of 4 is also a multiple of 2. But since 4 is not a factor of 2, rather, only half of it, only half of the multiples of 2 will be multiples of 4.
Since 8 is a multiple of 2 and 4, all multiples of 8 are also multiples of both of them. Thus, Jose and maria are both correct.
No. All it needs is one counter example to disprove: 6 is a multiple of 2 but NOT a multiple of 4.
2 and 4 are factors of 8. 8 is a multiple of 2 and 4.
The Least Common Multiple (LCM) for 2 4 is 4.