Divisibility Rules - Summary

Summary

The audio transcript is a lecture on divisibility rules for numbers 1 through 9. The speaker, Michael, starts by encouraging listeners to practice social distancing and stay safe during the pandemic. He then introduces a series of rules for determining if a number is divisible by another number without a remainder.

The speaker explains that numbers can be divided by 1, 2, 5, 3, 9, 4, 6, 8, and 7 without any remainder. For each of these numbers, he provides a specific method or rule to check for divisibility. For instance, a number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of the digits in its spelling (e.g., 18 for 18, 20 for 20, etc.) is divisible by 9.

The speaker also introduces a method for checking divisibility by 4, 5, 6, and 7. For instance, a number is divisible by 4 if the last two digits form a number that is divisible by 4. A number is divisible by 7 if the number formed by taking the ones digit, multiplying it by 5, and then adding what's left is divisible by 7.

The speaker also discusses a method for checking divisibility by 8, which involves looking at the last three digits of the number. The speaker concludes the lecture by encouraging listeners to play around with these divisibility rules and tests of divisibility to develop their number sense.

Facts

Some possible key facts extracted from the text are:

1. The text is about divisibility rules for the numbers 1 through 9.
2. The text explains how to check if a number can be divided by another number with no remainder using different procedures.
3. The text also shows how these procedures work using algebra and number sense.
4. The text ends with a word from the sponsor Vsauce and a promotion of the Curiosity Box, which contains a puzzle invented by Theodore Edison.
5. The text mentions that a partial of all proceeds from the Curiosity Box are given to Alzheimer's research.