## Multiples

Summary

The content delves into the concepts of multiples, factors, and divisors, elucidating their interrelationships and applications in mathematical problem-solving, particularly in the context of the GRE exam.

- Multiples and factors have an inverse relationship; if P is a multiple of r, then r is a factor of P.
- Every positive integer is a multiple of 1 and itself, highlighting the fundamental nature of multiples in mathematics.
- To find multiples of a number, one can add or subtract that number repeatedly or multiply the number by a sequence of integers.
- If P and Q are multiples of r, operations such as addition, subtraction, or multiplication on P and Q will result in more multiples of r.
- A practice problem demonstrates how to apply these concepts to identify possible values of P given a set of conditions.

Chapters

00:01

Understanding Multiples and Factors

01:33

Identifying Multiples

02:48

Generating More Multiples

03:57

Operational Relationships Between Multiples

06:07

Practical Application and Problem Solving

**Please note**: there is a typo on-screen at the end of "Multiple Idea #3." The last line should say**2394 - 7 = 2387**