multiples
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integer properties
summary
the content provides an in-depth exploration of the concepts of multiples, factors, and divisors, emphasizing their interrelationships and applications in mathematical problem-solving, particularly in the context of preparing for the gmat 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 universal applicability of these concepts.
- to find multiples of a number, one can multiply it by a sequence of integers or add the number to itself repeatedly.
- 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 practical application of these concepts is demonstrated through a problem-solving example, reinforcing the importance of understanding the relationship between multiples and factors.
chapters
00:00
understanding multiples and factors
01:33
identifying multiples
02:48
generating more 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