# How do you write the prime factorization of -120r^2st^3?

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$- 2 \times 2 \times 2 \times 5 \times 3 \times r \times r \times s \times t \times t \times t$

#### Explanation:

Prime factorisation means to write the number or expression of only prime factors.
It is also sometimes called expanded notation.

$- 120 {r}^{2} s {t}^{3}$ is made up of:

$- 2 \times 2 \times 2 \times 5 \times 3 \times r \times r \times s \times t \times t \times t$

If you multiply those together you get $- 120 {r}^{2} s {t}^{3}$

Notice that each factor is prime because it cannot be broken down further.

($1$ is not prime, so do not use it)

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