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Find the no of positive factors for 18000

Question

Find the no of positive factors for 18000

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Solution

To find the number of positive factors for 18000, we first need to express 18000 as a product of its prime factors.

18000 = 2^4 * 3^2 * 5^3

The number of positive factors of a number is determined by adding 1 to each of the exponents in the prime factorization and then multiplying these results together.

So, the number of positive factors of 18000 is (4+1) * (2+1) * (3+1) = 5 * 3 * 4 = 60.

Therefore, 18000 has 60 positive factors.

This problem has been solved

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