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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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