What is the number of factors of 151200?
Explanation:
For a number n = ax × by × cz
Number of factors = (x +1)(y + 1)(z + 1)
151200 = 25 × 33 × 52 × 7
∴ The number of factors of 70560 = (5 + 1)(3 + 1)(2 + 1)(1 + 1) = 6 × 4 × 3 × 2 = 144.
Hence, 144.
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