Question

how to Convert into factorial 2.4.6.8.10.12?

Answer 1

Given:

The product of numbers 2.4.6.8.10.12?

To find:

how to Convert into factorial 2.4.6.8.10.12?

Solution:

From given, we have,

The product of numbers 2.4.6.8.10.12

now consider:

2 = 2^1

4 = 2^2

6 = 2 × 3

8 = 2^3

10 = 2 × 5

12 = 4 × 3

so, we have,

2.4.6.8.10.12 = 2^1 × 2^2 × 2 × 3 × 2^3 × 2 × 5 × 4 × 3

2.4.6.8.10.12 = (2^1 × 2^2 × 2^3 × 2) × (2 × 3 × 4 × 5)

2.4.6.8.10.12 = 5! × 2^7

∴ The factorial of 2.4.6.8.10.12 is 5! × 2^7