Question

Find the number of divisors of 16200 which are not divisible by 4.
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Answer 1

30 Divisors of 16200 are not divisible by 4.

Step-by-step explanation:

16200 = 2 * 8100

16200 = 2 * 2 * 4050

16200 = 2 * 2 * 2 * 2025

16200 = 2 * 2 * 2 * 3 * 675

16200 = 2 * 2 * 2 * 3 * 3 * 225

16200 = 2 * 2 * 2 * 3 * 3 * 3 * 75

16200 = 2 * 2 * 2 * 3 * 3 * 3 * 3 * 25

16200 = 2 * 2 * 2 * 3 * 3 * 3 * 3 * 5 * 5

16200 = 4 * (2 * 3 * 3 * 3 * 3 * 5 * 5)

16200 = 4 * (2¹ * 3⁴ * 5²)

2¹ * 3⁴ * 5²  - Number of Divisors

=  (1 + 1)(4 + 1)(2 + 1)

= 2 * 5 * 3    

= 30

30 Divisors of 16200 are not divisible by 4.

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