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If z is divisible by both x and y, it must also be divisible by...

A) x - y
B) x + y
C) xy
D) x/y

User Gjgjgj
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1 Answer

1 vote

Final answer:

Option (C), If z is divisible by both x and y, it must also be divisible by xy. Options A, B, and D are not necessarily divisors of z.

Step-by-step explanation:

If z is divisible by both x and y, it must also be divisible by xy. The product of x and y is their greatest common divisor, which means that z is divisible by both x and y, so it must also be divisible by their common divisor, xy.

Option A, x - y, is not necessarily a divisor of z. For example, if x = 6 and y = 3, z = 6 and x - y = 3, which does not divide 6.

Option B, x + y, is also not necessarily a divisor of z. For example, if x = 6 and y = 4, z = 12 and x + y = 10, which does not divide 12.

Option D, x/y, is not necessarily a divisor of z either. For example, if x = 6 and y = 2, z = 6 and x/y = 3, which does not divide 6.

User Kaloyan
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