Question

Find the product of all positive divisors of 288.

Answer 1

Answer:

1.363116466×10^22

Step-by-step explanation: Listing all the pairs of divisors: 1, 288; 2, 144; 3, 96; 4, 72; 6,48; 8,36; 9,32; 12, 24; 16, 18

There are 9 pairs, counting 288 itself and 1. Each pair of factors, aka divisors, will have a product of 288. So the product of those products can be expressed as 288^9

Entered into a scientific calculator, the result is

1.363116466×10^22

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Answer 2

Total product of all positive divisors of 288 are 18.

To find the product of all positive divisors of 288.

What is factor?

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

The divisors/factors of 288 get multiplied together to make 288.

1 × 288, 2 ×144, 3 × 96, 4 × 72, 6 × 48, 8 × 36, 9 × 32, 12 × 24, 16 ×18

The pairs that make 288. So the divisors/factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16,18, 24, 32, 36, 48, 72, 96,144, 288.

So, the Total product of all positive divisors of 288 are 18.

Learn more about factor here:

https://brainly.com/question/17131591

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