Pre-Final Flashcards
(9 cards)
It is a branch of mathematics concerned with integers and their properties.
Number Theory
Means dividing a number evenly.
Divisibility
These are positive integers greater than 1 that cannot be divided by any number except themselves and 1.
Prime Numbers
Procedures of writing prime numbers
o Write the numbers from 1 to 100 in 10 rows of 10.
o Cross off number 1 because all primes are greater than 1
o Number 2 is a prime, so we can keep it, but we need to cross off the multiples of 2.
o Number 3 is also a prime, so again, we keep it and cross off the multiples of 3.
o The next number left is 5 (because four has been crossed off), so we keep it and cross of
the multiples of this number.
o The final number left in the first row is number 7, so cross off its multiples.
These are positive integers that are greater than 1 and are not prime.
Composite
largest non-zero integer d that is a common divisor of all the given integers
Greatest Common Factor (GCF)
It is the smallest integer that is a common multiple of all the given integers.
Least Common Multiple (LCM)
A way of expressing a number as a product of its prime factors
Prime Factorization