10! - Numberphile

TL;DR

10 factorial equals 3,628,800 seconds, which is exactly six weeks.

Transcript

OK, so today we've got a little mathematical nugget for you. I'm going to talk about 10 factorial. So 10 factorial is what you get when you multiply the numbers 10 times 9 times 8 times 7-- and you go all the way down, times 2, times 1. How big is 10 factorial? On your calculator you will find a little bottom with an exclamation mark after it. Ther... Read More

Key Insights

• ❓ 10 factorial is calculated as the product of integers from 10 to 1.
• 🙈 The value of 10 factorial is 3,628,800, which can be seen as 3.6 million.
• ❓ An intriguing comparison is made between 10 factorial seconds and a six-week duration.
• ➗ The conversion of 10 factorial seconds to weeks involves multiple division steps.
• ⌛ The concept of 10 factorial offers a fascinating perspective on time calculations.
• 🌥️ Understanding the factorial concept provides insights into large number calculations.
• ‼️ The calculator symbol for factorial is an exclamation mark.

Questions & Answers

Q: What is 10 factorial, and how is it calculated?

10 factorial is obtained by multiplying the numbers from 10 down to 1. The calculation is 10 x 9 x 8 x ... x 2 x 1, resulting in 3,628,800.

Q: How long is 10 factorial in seconds, and what is its equivalent?

10 factorial, comprising 3,628,800 seconds, is exactly equivalent to a duration of six weeks, leading to an interesting time comparison.

Q: How is the conversion from 10 factorial seconds to weeks explained?

By dividing 3,628,800 seconds successively by 60 (minutes), 60 (hours), and 24 (days), the final result represents precisely six weeks.

Summary & Key Takeaways

• Explains what 10 factorial is, the calculation process, and its equivalent value in seconds.

• Illustrates how 10 factorial seconds amount to precisely six weeks.

• Demonstrates the conversion of six weeks to seconds using multiplication.