How many factors are there of the number 568480?
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How many factors are there of the number 568480?
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Answer: B. 96
The prime factorization of 568480 is 2^5 × 5 × 11 × 17 × 19. Using the divisor formula, the number of factors = (5+1)(1+1)(1+1)(1+1)(1+1) = 6 × 2 × 2 × 2 × 2 = 96.
Step-by-step Derivation:
568480 = 2^5 × 5^1 × 11^1 × 17^1 × 19^1. Number of divisors = (5+1)(1+1)(1+1)(1+1)(1+1) = 6 × 2 × 2 × 2 × 2 = 96