Question

Factors of $-5x^2{y}^{2}z$ are

• A. $-5\times x\times y\times z$
• B. $-5\times x^2\times y\times z$
• C. $-5\times x\times x\times y\times y\times z$
• D. $-5\times x\times y\times z^2$

Answer 1

Answer: (A), (B), (C)

$-5\times x\times x\times y\times y\times z$

Explanation for the correct option:

1. Factors are the numbers that divide the given number evenly.
2. When an algebraic expression divides another algebraic expression and the denominator of the result is $1$, then the divisor is a factor of the dividend.

Option A:

$\frac{-5x^2{y}^{2}z}{-5·x·y.z}=xy$

Thus, option A is correct.

Option B:

$\frac{-5x^2{y}^{2}z}{-5·x·x·y·z}=y$

Thus, option B is correct.

Option C:

$\frac{-5x^2{y}^{2}z}{-5·x·x·y·y·z}=1$

Thus, option C is correct.

Option D:

$\frac{-5x^2{y}^{2}z}{-5·x·y·z·z}=\frac{1}{z}$

Since the denominator is not $1$, option D is incorrect.

Hence, options A, B, and C are the correct options.