Final answer:
A multiple of x can also be a multiple of another number. For instance, the number 12 is a multiple of both 3 and 4. Multiples are found when a number is multiplied by any integer, and certain numbers can share multiples through these multiplications.
Step-by-step explanation:
Yes, a multiple of x can also be a multiple of another number. This is because multiples are the products of a number with integers, and many numbers can share common multiples. For example, take 12, which is a multiple of both 3 and 4. In arithmetic terms, 12 = 3 x 4. From this, we can infer that any common multiples of x can be found by multiplying x by an integer that is also a multiple of another number.
Examples in Multiplication:
- When two positive numbers multiply (e.g. 2x3), the answer has a positive sign resulting in 6, which is a multiple of both 2 and 3.
- When two negative numbers multiply (e.g. (-4) x (-3)), the answer also has a positive sign, resulting in 12, which again is a multiple of both 4 and 3.
- Understanding reciprocals can also be relevant, as recognizing that a pair of numbers multiply to a common product (like pairs that multiply to 10) can reveal common multiples.
Multiples of x can also be the product of x and any reciprocal that, when combined, form another whole number. Therefore, recognizing these relationships and using mental math can help identify these shared multiples.