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Answer:

40

Step-by-step explanation:

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The value 160,000 has 3 perfect cube divisors

In order to know the number of perfect cube divisors that the value has, we need to find the prime factors of 160,000 as shown:

  • Prime factors of 160,000 = (2×2×2×2×2×2×2×2×5×5×5×5)

  • grouping the prime factors = (2×2×2)×(2×2×2)×(2×2)×(5×5×5)×5
  • Prime factors = 8 * 8 * 125 * 4 * 5

The perfect cube divisors are 8, 8 and 125

Hence the value 160,000 has 3 perfect cube divisors which are 8, 8 and 125

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