Respuesta :

Here, we are required to determine how many perfect cube divisors 160,000 has.

160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

To determine how many perfect cube divisors 160,000 has;

We first need to highlight the factors of 160,000 as follows;

(2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × (5 × 5 × 5) × 5

As such, the product of numbers in each bracket yield a perfect cube; the expression above then becomes;

2 × 2 × 5 × 8 × 8 × 125.

Therefore, 160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

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